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

Time bar (total: 6.3s)

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 11 to 8 computations (27.3% saved)

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

sample1.1s (18.1%)

Results
839.0ms8255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 345.0ms
ival-mult: 170.0ms (49.3% of total)
ival-add: 118.0ms (34.2% of total)
ival-sub: 43.0ms (12.5% of total)
const: 11.0ms (3.2% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess303.0ms (4.9%)

Algorithm
egg-herbie
Rules
3057×fma-neg
661×unsub-neg
465×sub-neg
415×fma-define
332×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034328
179312
2246308
3932308
43194308
55674308
66662308
76917308
86969308
96992308
106995308
117058308
127066308
137066308
147066308
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)

explain66.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-z
00-0-(+.f64 x y)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) z)
Results
45.0ms512×0valid
Compiler

Compiled 52 to 29 computations (44.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 10.0ms (46.6% of total)
ival-sub: 7.0ms (32.6% of total)
ival-mult: 4.0ms (18.6% of total)
const: 1.0ms (4.7% of total)
backward-pass: 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
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 10 to 7 computations (30% saved)

localize111.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 6 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))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Rules
673×fma-neg
459×fma-define
152×associate-+l-
135×distribute-lft-in
131×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
12364
24164
39464
426964
572064
6125264
7203964
8254764
9286964
10290464
11290464
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
Results
22.0ms256×0valid
Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (45.2% of total)
ival-sub: 3.0ms (27.1% of total)
ival-mult: 2.0ms (18.1% of total)
const: 1.0ms (9% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

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

rewrite224.0ms (3.6%)

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))

simplify128.0ms (2%)

Algorithm
egg-herbie
Rules
382×associate-/l*
360×associate-/r*
304×associate-+r+
292×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
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
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)))
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(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 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z))) (neg.f64 z))
(*.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z))) (neg.f64 z))
(*.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z))) (neg.f64 z))
(*.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 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 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y 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 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y 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 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y 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 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 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 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 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 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 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)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.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 y x)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
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(/.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)

eval43.0ms (0.7%)

Compiler

Compiled 3140 to 1760 computations (43.9% saved)

prune38.0ms (0.6%)

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))
50.2%
(+.f64 y x)
51.9%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
52.0%
(*.f64 (+.f64 x y) (neg.f64 z))
51.8%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 126 to 85 computations (32.5% saved)

localize153.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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)))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy100.0%
(*.f64 (+.f64 x y) (neg.f64 z))
Rules
793×fma-define
650×fma-neg
145×associate-+l-
133×sub-neg
117×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019259
136243
279243
3229243
4635243
51111243
62106243
72807243
83018243
93022243
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
Results
51.0ms256×0valid
Compiler

Compiled 69 to 21 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.7% of total)
ival-sub: 5.0ms (29.7% of total)
ival-add: 4.0ms (23.8% of total)
const: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.3%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) (neg.f64 z))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) z) x)>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (neg.f64 z)>
#<alt (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))>
Outputs
#<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 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))>
#<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 (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 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))))))>
Calls

33 calls:

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

rewrite150.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
747×log1p-expm1-u
747×expm1-log1p-u
569×log-prod
544×fma-define
264×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018116
124892
2367292
Stop Event
node limit
Counts
5 → 280
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(neg.f64 z)
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(+.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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))))
(-.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 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 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))) 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))) 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))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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 x (*.f64 x z))
(+.f64 x (*.f64 z x))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64))))))
(-.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))
(+.f64 y (*.f64 y z))
(+.f64 y (*.f64 z y))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 z #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64))))))
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(fma.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)) (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 (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)) (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 (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)))) (fma.f64 z (+.f64 x y) (*.f64 (+.f64 x y) z)))
(fma.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)))) (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 (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)))) (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 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) z))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) z) (+.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 x y)) (+.f64 x y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 (+.f64 x y) z y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 x y) z y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 (+.f64 x y) z y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 (+.f64 x y) z y) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 x (*.f64 (+.f64 x y) z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (+.f64 x (*.f64 (+.f64 x y) z)))
(fma.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)))) (fma.f64 z (+.f64 x y) (*.f64 (+.f64 x y) z)))
(fma.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)))) (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 (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)))) (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 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) (fma.f64 z (+.f64 x y) (*.f64 (+.f64 x y) z)))
(fma.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)))) (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 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) (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 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (+.f64 x y) z y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 (+.f64 x y) z y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 (+.f64 x y) z)))
(fma.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))) (fma.f64 z (+.f64 x y) (*.f64 (+.f64 x y) z)))
(fma.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))) (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 (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))) (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 (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) 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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) 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 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) 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) 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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) 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 (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) (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))
(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))

simplify200.0ms (3.2%)

Algorithm
egg-herbie
Rules
624×fma-neg
316×fma-define
305×distribute-rgt-neg-in
300×associate-*l*
295×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061215385
1140913549
2516613022
Stop Event
node limit
Counts
400 → 421
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
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 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
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 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
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(fma.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))) (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 (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) 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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) 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 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) 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) 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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) 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 (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) (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))
(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))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (fma.f64 y (/.f64 z x) z) (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (fma.f64 y (/.f64 z x) z) (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (fma.f64 y (/.f64 z x) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (fma.f64 y (/.f64 z x) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (fma.f64 y (/.f64 z x) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (fma.f64 y (/.f64 z x) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (*.f64 z x) y))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (fma.f64 x (/.f64 z y) z) (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (*.f64 z x) y))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (fma.f64 x (/.f64 z y) z) (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (*.f64 z x) y))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (fma.f64 x (/.f64 z y) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (*.f64 z x) y))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (fma.f64 x (/.f64 z y) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (*.f64 z x) y))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (fma.f64 x (/.f64 z y) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (*.f64 z x) y))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (fma.f64 x (/.f64 z y) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 z (-.f64 (neg.f64 x) y))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) x))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) x))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (neg.f64 x) z))
y
(+.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 #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 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 y (*.f64 (neg.f64 y) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.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 (neg.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 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 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))))
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(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) z))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (+.f64 x y) z y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 (+.f64 x y) z y) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 (+.f64 x y) z)))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.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))) (fma.f64 z (+.f64 x y) (*.f64 (+.f64 x y) z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (fma.f64 z (+.f64 y x) (*.f64 z (+.f64 y x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 y x))))
(fma.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))) (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 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (-.f64 (*.f64 z (+.f64 y x)) (*.f64 z (+.f64 y x))))
(fma.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))) (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 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (-.f64 (*.f64 z (+.f64 y x)) (*.f64 z (+.f64 y x))))
(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) 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 z (+.f64 y x)))
(+.f64 (*.f64 z (+.f64 y x)) (/.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)))))
(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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) 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 y x)))
(-.f64 (*.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 z (+.f64 y x)))
(-.f64 (/.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 z (+.f64 y x)))
(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 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) 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 y x)))
(-.f64 (*.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 z (+.f64 y x)))
(-.f64 (/.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 z (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) z) (+.f64 x y))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) 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 (+.f64 x y) 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 z (+.f64 y x)))
(+.f64 (*.f64 z (+.f64 y x)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.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 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) 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 y x)))
(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 z (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) (*.f64 z (+.f64 y x)))
(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 (-.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 y x)))
(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 z (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) (*.f64 z (+.f64 y x)))
(fma.f64 (neg.f64 (+.f64 x y)) z (+.f64 x y))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(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)
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z y)) (sqrt.f64 (fma.f64 (+.f64 x y) z y)) x)
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(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 z (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) (fma.f64 z (+.f64 y x) (*.f64 z (+.f64 y x))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) (*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 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 (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 z (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) (+.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 (neg.f64 x) y))))
(+.f64 (-.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 y x))) (*.f64 z (+.f64 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 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z)) (*.f64 (+.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) (+.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 (neg.f64 x) y))))
(+.f64 (-.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 y x))) (*.f64 z (+.f64 y x)))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)) z (+.f64 x y))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))

eval121.0ms (1.9%)

Compiler

Compiled 10353 to 3799 computations (63.3% saved)

prune172.0ms (2.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New7106716
Fresh011
Picked145
Done011
Total71112723
Accuracy
100.0%
Counts
723 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
51.8%
(+.f64 y (*.f64 (neg.f64 y) z))
50.2%
(+.f64 y x)
51.9%
(+.f64 x (*.f64 (neg.f64 x) z))
51.9%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
52.0%
(*.f64 (+.f64 x y) (neg.f64 z))
29.1%
(*.f64 (neg.f64 y) z)
27.5%
(*.f64 (neg.f64 x) z)
51.8%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
24.9%
y
27.2%
x
Compiler

Compiled 149 to 105 computations (29.5% saved)

localize160.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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))
accuracy100.0%
(neg.f64 x)
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))
Rules
954×fma-define
662×fma-neg
155×cancel-sign-sub-inv
118×sub-neg
96×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019163
144163
280163
3134163
4328163
5820163
61597163
72604163
82947163
92981163
102981163
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
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
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
y
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(neg.f64 x)
x
z
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
z
Results
56.0ms256×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 15.0ms (41.6% of total)
ival-neg: 10.0ms (27.8% of total)
ival-sub: 9.0ms (25% of total)
ival-add: 1.0ms (2.8% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
3 → 72
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 (neg.f64 x)>
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)))))>
#<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 #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 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 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 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 (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
Calls

18 calls:

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

rewrite165.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
889×log1p-expm1-u
889×expm1-log1p-u
478×fma-define
447×log-prod
184×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01655
119951
2272151
Stop Event
node limit
Counts
3 → 278
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)
(neg.f64 x)
Outputs
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) 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 (*.f64 (-.f64 #s(literal 1 binary64) z) 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 (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 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 y) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 2 binary64)) (*.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 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (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 y x)) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
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(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (*.f64 (neg.f64 z) y))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))) #s(literal 1 binary64))
(/.f64 (*.f64 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 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) (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))) y) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 z)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) y))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 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) (fma.f64 x x (*.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 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)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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)))

simplify170.0ms (2.7%)

Algorithm
egg-herbie
Rules
476×cancel-sign-sub-inv
377×fma-neg
349×associate-+l+
334×distribute-lft-neg-in
325×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050313818
1115611292
2354410933
Stop Event
node limit
Counts
350 → 355
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) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) 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 (*.f64 (-.f64 #s(literal 1 binary64) z) 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 (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 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 y) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 2 binary64))))
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(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 y) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 y) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 y) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 y) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 y) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 y (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) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (*.f64 (neg.f64 z) y))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))) #s(literal 1 binary64))
(/.f64 (*.f64 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 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) (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))) y) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 z)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) y))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 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) (fma.f64 x x (*.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 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)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(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)))
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)))
(neg.f64 (*.f64 z (+.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 (/.f64 x z) (/.f64 y z)) (+.f64 x 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 (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 (/.f64 x z) (/.f64 y z)) (+.f64 x 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 (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 (/.f64 x z) (/.f64 y z)) (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y)))
(neg.f64 (*.f64 z (+.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))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
x
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(neg.f64 x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(neg.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x

eval123.0ms (2%)

Compiler

Compiled 9428 to 6062 computations (35.7% saved)

prune98.0ms (1.6%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New5152517
Fresh022
Picked145
Done055
Total51613529
Accuracy
100.0%
Counts
529 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) x))
51.8%
(+.f64 y (*.f64 (neg.f64 y) z))
50.2%
(+.f64 y x)
51.9%
(+.f64 x (*.f64 (neg.f64 x) z))
51.9%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
52.0%
(*.f64 (+.f64 x y) (neg.f64 z))
29.1%
(*.f64 (neg.f64 y) z)
27.5%
(*.f64 (neg.f64 x) z)
51.8%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
3.2%
(*.f64 x z)
24.9%
y
27.2%
x
Compiler

Compiled 100 to 70 computations (30% saved)

localize297.0ms (4.8%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(*.f64 x z)
cost-diff64
(+.f64 y (*.f64 (neg.f64 y) z))
cost-diff64
(+.f64 x (*.f64 (neg.f64 x) z))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy97.6%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) x))
Rules
495×fma-define
280×fma-neg
61×cancel-sign-sub-inv
50×distribute-rgt-in
48×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023250
152235
292229
3147227
4310223
5643223
61167223
71464223
81509223
91514223
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x z)
x
z
(+.f64 x (*.f64 (neg.f64 x) z))
x
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z
(+.f64 y (*.f64 (neg.f64 y) z))
y
(*.f64 (neg.f64 y) z)
(neg.f64 y)
z
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (neg.f64 z) x)
(neg.f64 z)
x
Outputs
(*.f64 x z)
x
z
(+.f64 x (*.f64 (neg.f64 x) z))
(+.f64 x (*.f64 x (neg.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(*.f64 (neg.f64 x) z)
(*.f64 x (neg.f64 z))
(neg.f64 x)
z
(+.f64 y (*.f64 (neg.f64 y) z))
(+.f64 y (*.f64 z (neg.f64 y)))
(-.f64 y (*.f64 z y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
z
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x (neg.f64 z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x (neg.f64 z)))
(+.f64 y (*.f64 z (-.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 z) (+.f64 x y) y)
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+.f64 y (*.f64 z (neg.f64 y)))
(-.f64 y (*.f64 z y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(neg.f64 z)
x
Results
73.0ms256×0valid
Compiler

Compiled 65 to 23 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (47.3% of total)
ival-sub: 4.0ms (17.2% of total)
ival-add: 4.0ms (17.2% of total)
ival-neg: 4.0ms (17.2% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) x))>
#<alt (neg.f64 y)>
#<alt (+.f64 x (*.f64 (neg.f64 x) z))>
#<alt (+.f64 y (*.f64 (neg.f64 y) z))>
#<alt (*.f64 x z)>
#<alt (*.f64 (neg.f64 x) z)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.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 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.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 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x 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 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x 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 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 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 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 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<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)))))>
#<alt (*.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 #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 #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 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #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 (*.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))>
Calls

36 calls:

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

rewrite136.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
830×log1p-expm1-u
830×expm1-log1p-u
171×associate-*r*
159×add-cube-cbrt
156×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023123
137198
2539198
Stop Event
node limit
Counts
6 → 201
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) x))
(neg.f64 y)
(+.f64 x (*.f64 (neg.f64 x) z))
(+.f64 y (*.f64 (neg.f64 y) z))
(*.f64 x z)
(*.f64 (neg.f64 x) z)
Outputs
(-.f64 (fma.f64 z y y) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x (fma.f64 z y y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (fma.f64 z x (fma.f64 z y y))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x (fma.f64 z y y))))
(*.f64 #s(literal 1 binary64) (fma.f64 z x (fma.f64 z y y)))
(*.f64 (cbrt.f64 (fma.f64 z x (fma.f64 z y y))) (pow.f64 (cbrt.f64 (fma.f64 z x (fma.f64 z y y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x (fma.f64 z y y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x (fma.f64 z y y))))
(*.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x (fma.f64 z y y))))
(*.f64 (sqrt.f64 (fma.f64 z x (fma.f64 z y y))) (sqrt.f64 (fma.f64 z x (fma.f64 z y y))))
(*.f64 (+.f64 (pow.f64 (fma.f64 z y y) #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 (fma.f64 z y y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z y y) (*.f64 z x)))))
(*.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 z y y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (fma.f64 z y y)) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z y y) (*.f64 z x))) (+.f64 (pow.f64 (fma.f64 z y y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x (fma.f64 z y y)) (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64)) (fma.f64 z x (fma.f64 z y y)))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z y y) (*.f64 z x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y y) #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 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (fma.f64 z y y) (*.f64 z x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z y y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z y y) (*.f64 z x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x (fma.f64 z y y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z y y) (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (fma.f64 z y y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (fma.f64 z y y)))
(pow.f64 (cbrt.f64 (fma.f64 z x (fma.f64 z y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x (fma.f64 z y y))) #s(literal 2 binary64))
(pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x (fma.f64 z y y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x (fma.f64 z y y)))))
(log.f64 (/.f64 (exp.f64 (fma.f64 z y y)) (pow.f64 (exp.f64 z) x)))
(cbrt.f64 (pow.f64 (fma.f64 z x (fma.f64 z y y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x (fma.f64 z y y))))
(log1p.f64 (expm1.f64 (fma.f64 z x (fma.f64 z y y))))
(exp.f64 (log.f64 (fma.f64 z x (fma.f64 z y y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x (fma.f64 z y y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z y y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (fma.f64 z y y))
(fma.f64 z x (fma.f64 z y y))
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (*.f64 z x))
(fma.f64 y (+.f64 #s(literal 1 binary64) z) (*.f64 z x))
(fma.f64 x z (fma.f64 z y y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y y)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (fma.f64 z y y))
(fma.f64 (sqrt.f64 (fma.f64 z y y)) (sqrt.f64 (fma.f64 z y y)) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (fma.f64 z y y))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #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 #s(literal 1 binary64) (fma.f64 z x x))
(*.f64 (+.f64 #s(literal 1 binary64) z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 z x x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z 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 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(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))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 z x 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)
(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))
(-.f64 y (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z y y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 z y y)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y y)))
(*.f64 #s(literal 1 binary64) (fma.f64 z y y))
(*.f64 (+.f64 #s(literal 1 binary64) z) y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 z y y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) y))
(*.f64 (cbrt.f64 (fma.f64 z y y)) (pow.f64 (cbrt.f64 (fma.f64 z y y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y y)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (fma.f64 z y y)) (sqrt.f64 (fma.f64 z y y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y y) (pow.f64 (fma.f64 z y y) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (fma.f64 z y y))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 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 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(/.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 z) y)))
(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 (+.f64 (log1p.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 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) (*.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)))

simplify146.0ms (2.3%)

Algorithm
egg-herbie
Rules
621×fma-neg
429×distribute-lft-neg-in
415×distribute-rgt-neg-in
223×fma-define
221×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04349712
19869415
238648327
Stop Event
node limit
Counts
321 → 280
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(+.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 y z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.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 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x z) y))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
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x
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y
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(-.f64 (fma.f64 z y y) (*.f64 z x))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x (fma.f64 z y y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x (fma.f64 z y y))))
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(*.f64 (pow.f64 (cbrt.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 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z 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 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(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))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 z x 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)
(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))
(-.f64 y (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z y y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 z y y)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y y)))
(*.f64 #s(literal 1 binary64) (fma.f64 z y y))
(*.f64 (+.f64 #s(literal 1 binary64) z) y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 z y y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) y))
(*.f64 (cbrt.f64 (fma.f64 z y y)) (pow.f64 (cbrt.f64 (fma.f64 z y y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y y)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (fma.f64 z y y)) (sqrt.f64 (fma.f64 z y y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y y) (pow.f64 (fma.f64 z y y) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (fma.f64 z y y))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 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 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(/.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 z) y)))
(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 (+.f64 (log1p.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 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) (*.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)))
Outputs
y
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (/.f64 y z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) y) x))
(*.f64 z (-.f64 (/.f64 y z) (+.f64 y x)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (/.f64 y z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) y) x))
(*.f64 z (-.f64 (/.f64 y z) (+.f64 y x)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (/.f64 y z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) y) x))
(*.f64 z (-.f64 (/.f64 y z) (+.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 z (*.f64 #s(literal -1 binary64) (+.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 y z))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (/.f64 y z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) y) x))
(*.f64 z (-.f64 (/.f64 y z) (+.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (/.f64 y z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) y) x))
(*.f64 z (-.f64 (/.f64 y z) (+.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (/.f64 y z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) y) x))
(*.f64 z (-.f64 (/.f64 y z) (+.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) z)))
(*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) z))
(*.f64 y (neg.f64 (fma.f64 z (/.f64 x y) (+.f64 z #s(literal -1 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) z)))
(*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) z))
(*.f64 y (neg.f64 (fma.f64 z (/.f64 x y) (+.f64 z #s(literal -1 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) z)))
(*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) z))
(*.f64 y (neg.f64 (fma.f64 z (/.f64 x y) (+.f64 z #s(literal -1 binary64)))))
(*.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 (*.f64 x z) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) z)))
(*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) z))
(*.f64 y (neg.f64 (fma.f64 z (/.f64 x y) (+.f64 z #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) z)))
(*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) z))
(*.f64 y (neg.f64 (fma.f64 z (/.f64 x y) (+.f64 z #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) z)))
(*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) z))
(*.f64 y (neg.f64 (fma.f64 z (/.f64 x y) (+.f64 z #s(literal -1 binary64)))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 y x))))
(fma.f64 z (-.f64 (neg.f64 x) y) y)
(-.f64 y (*.f64 z (+.f64 y x)))
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(expm1.f64 (log1p.f64 (fma.f64 z y y)))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(log1p.f64 (expm1.f64 (fma.f64 z y y)))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(fma.f64 #s(literal 1 binary64) y (*.f64 z y))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(fma.f64 #s(literal 1 binary64) (*.f64 z y) y)
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(fma.f64 z y y)
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(fma.f64 y z y)
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) y)
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 z y))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) y)
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z y))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(fma.f64 y z y)
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 z (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(log.f64 (pow.f64 (exp.f64 z) x))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(log1p.f64 (expm1.f64 (*.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 z (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(log.f64 (pow.f64 (exp.f64 z) x))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(log1p.f64 (expm1.f64 (*.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)

eval120.0ms (1.9%)

Compiler

Compiled 4419 to 1930 computations (56.3% saved)

prune109.0ms (1.7%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New3593362
Fresh000
Picked314
Done279
Total36411375
Accuracy
100.0%
Counts
375 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(-.f64 y (*.f64 z y))
51.9%
(-.f64 x (*.f64 z x))
49.3%
(+.f64 (neg.f64 (*.f64 y z)) (*.f64 (neg.f64 z) x))
50.2%
(+.f64 y x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
52.0%
(*.f64 (+.f64 x y) (neg.f64 z))
29.1%
(*.f64 (neg.f64 y) z)
27.5%
(*.f64 (neg.f64 x) z)
3.2%
(*.f64 x z)
24.9%
y
27.2%
x
Compiler

Compiled 185 to 98 computations (47% saved)

regimes34.0ms (0.5%)

Counts
18 → 1
Calls
Call 1
Inputs
x
y
(*.f64 x z)
(+.f64 y x)
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 y) z)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))
(-.f64 y (*.f64 z y))
(*.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 (neg.f64 (*.f64 y z)) (*.f64 (neg.f64 z) x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 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
x
6.0ms
(+.f64 x y)
6.0ms
z
5.0ms
y
4.0ms
(*.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)

regimes37.0ms (0.6%)

Counts
16 → 1
Calls
Call 1
Inputs
x
y
(*.f64 x z)
(+.f64 y x)
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 y) z)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))
(-.f64 y (*.f64 z y))
(*.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 (neg.f64 (*.f64 y z)) (*.f64 (neg.f64 z) x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) x))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

9.0ms
(+.f64 x y)
8.0ms
z
7.0ms
x
5.0ms
y
4.0ms
(*.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)

regimes67.0ms (1.1%)

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

5 calls:

24.0ms
z
14.0ms
y
12.0ms
x
9.0ms
(+.f64 x y)
6.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
88.4%4x
85.8%4y
98.5%3z
97.8%2(+.f64 x y)
98.5%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes77.0ms (1.2%)

Counts
9 → 4
Calls
Call 1
Inputs
x
y
(*.f64 x z)
(+.f64 y x)
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 y) z)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+.f64 y x)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Calls

3 calls:

52.0ms
x
17.0ms
z
7.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
88.4%4x
85.5%7z
85.5%7(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes126.0ms (2%)

Counts
7 → 7
Calls
Call 1
Inputs
x
y
(*.f64 x z)
(+.f64 y x)
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 y) z)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (neg.f64 x) z)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 y x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 x) z)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 x) z)
Calls

3 calls:

110.0ms
z
10.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
85.5%7z
71.5%4y
72.4%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Counts
6 → 7
Calls
Call 1
Inputs
x
y
(*.f64 x z)
(+.f64 y x)
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 y) z)
Outputs
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 y) z)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 x) z)
Calls

1 calls:

13.0ms
z
Results
AccuracySegmentsBranch
84.5%7z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
74.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.2%)

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

3 calls:

6.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
50.2%1y
50.2%1x
50.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

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

3 calls:

4.0ms
x
4.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
44.2%2x
41.7%2y
31.6%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
27.2%1y
27.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.021377727680658e-236
3.913534924893564e-301
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch36.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
-1.5088945025654801e-123
-6.053908581025426e-128
9.0ms
-2.07079532813916e-113
-9.18926027812656e-116
10.0ms
-18529865906.733723
-5183155.541298866
Results
22.0ms368×0valid
Compiler

Compiled 400 to 304 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.6% of total)
ival-sub: 2.0ms (27% of total)
ival-add: 2.0ms (27% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch144.0ms (2.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.2352694164646626e+142
1.6964263751479063e+153
43.0ms
2.7481530767592567e+79
1.0268430722553104e+91
12.0ms
2.978259871382719e+41
4.196290621870032e+46
49.0ms
1.5451697402631958e-15
5.849468134327426e-14
10.0ms
-0.0023295684692707687
-9.660696994462092e-7
10.0ms
-8.790361082483846e+196
-2.622714580244253e+192
Results
112.0ms832×0valid
Compiler

Compiled 885 to 673 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-add: 36.0ms (76% of total)
ival-mult: 6.0ms (12.7% of total)
ival-sub: 4.0ms (8.4% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch95.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.2352694164646626e+142
1.6964263751479063e+153
13.0ms
2.7481530767592567e+79
1.0268430722553104e+91
14.0ms
2.978259871382719e+41
4.196290621870032e+46
14.0ms
0.06687570370396793
6567061333392821000.0
23.0ms
-329666.2026238167
-0.0023295684692707687
11.0ms
-8.790361082483846e+196
-2.622714580244253e+192
Results
61.0ms912×0valid
Compiler

Compiled 908 to 676 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 17.0ms (53.1% of total)
ival-sub: 7.0ms (21.9% of total)
ival-mult: 7.0ms (21.9% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch117.0ms (1.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.06687570370396793
6567061333392821000.0
14.0ms
-804321642668.7101
-329666.2026238167
Results
18.0ms320×0valid
Compiler

Compiled 316 to 232 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (31% of total)
ival-add: 2.0ms (31% of total)
ival-mult: 2.0ms (31% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-4.156355269678987e-132
-3.9612379536389676e-132
Results
1.0ms16×0valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

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

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Rules
16×*-commutative
12×+-commutative
10×sub-neg
10×if-if-or-not
not-or
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085701
1137675
2165675
3185667
4194667
5197667
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 -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (-.f64 x (*.f64 z x)) (-.f64 y (*.f64 z y)))
(if (<=.f64 x #s(literal -105000000 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (if (<=.f64 x #s(literal -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (+.f64 y x) (if (<=.f64 x #s(literal -8931394244144417/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 z #s(literal -4100000000000000048658433234945981652634027610556017907528073329681353806476923046583307719335148277501731870820754342541721980510773873111689716254479864610658340327570925473989575184764496773120 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal -2597301565578305/1180591620717411303424 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 3999999999999999719029156098142204879723036672 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 2999999999999999974470223024111721621642565114518416193220185473467414953911648256 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 35500000000000002590437923451757805437302895994096721746122473853401825249936486008535385046166505862535651351385293216571476875955699041067992088576 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 x) z)))))))
(if (<=.f64 z #s(literal -8800000000000000258621213393716685260135141087095924191658390486434063409929352226827682236301104943925758829575117530599951272423210898875214829191264744666996215339554463322398823655579582464 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal -31 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 439999999999999991277092674789657062961840128 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 13200000000000000676247421320247789129237477799205228454055290442568370869491852115968 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 2100000000000000060262919306120376973977234838976796481580915508866810758927541629698002923524871004071530558071587661624383208762032565662871715840 binary64)) (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 x) z)))))))
(if (<=.f64 z #s(literal -340000 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (*.f64 (neg.f64 x) z)))
(+.f64 y x)
(if (<=.f64 x #s(literal -6553174556823331/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) x y)
x
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (*.f64 (neg.f64 z) (+.f64 x y)) (+.f64 x y))
(-.f64 (+.f64 x y) (*.f64 z (+.f64 x y)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (-.f64 x (*.f64 z x)) (-.f64 y (*.f64 z y)))
(if (<=.f64 (+.f64 x y) #s(literal -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (-.f64 x (*.f64 x z)) (-.f64 y (*.f64 y z)))
(if (<=.f64 x #s(literal -105000000 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (if (<=.f64 x #s(literal -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (+.f64 y x) (if (<=.f64 x #s(literal -8931394244144417/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 x #s(literal -105000000 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (+.f64 x y) (if (<=.f64 x #s(literal -8931394244144417/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 z #s(literal -4100000000000000048658433234945981652634027610556017907528073329681353806476923046583307719335148277501731870820754342541721980510773873111689716254479864610658340327570925473989575184764496773120 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal -2597301565578305/1180591620717411303424 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 3999999999999999719029156098142204879723036672 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 2999999999999999974470223024111721621642565114518416193220185473467414953911648256 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 35500000000000002590437923451757805437302895994096721746122473853401825249936486008535385046166505862535651351385293216571476875955699041067992088576 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 x) z)))))))
(if (<=.f64 z #s(literal -4100000000000000048658433234945981652634027610556017907528073329681353806476923046583307719335148277501731870820754342541721980510773873111689716254479864610658340327570925473989575184764496773120 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal -2597301565578305/1180591620717411303424 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 3999999999999999719029156098142204879723036672 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (or (<=.f64 z #s(literal 2999999999999999974470223024111721621642565114518416193220185473467414953911648256 binary64)) (not (<=.f64 z #s(literal 35500000000000002590437923451757805437302895994096721746122473853401825249936486008535385046166505862535651351385293216571476875955699041067992088576 binary64)))) (*.f64 z (neg.f64 x)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))))
(if (<=.f64 z #s(literal -4100000000000000048658433234945981652634027610556017907528073329681353806476923046583307719335148277501731870820754342541721980510773873111689716254479864610658340327570925473989575184764496773120 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal -2597301565578305/1180591620717411303424 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (+.f64 x y) (if (or (<=.f64 z #s(literal 3999999999999999719029156098142204879723036672 binary64)) (not (or (<=.f64 z #s(literal 2999999999999999974470223024111721621642565114518416193220185473467414953911648256 binary64)) (not (<=.f64 z #s(literal 35500000000000002590437923451757805437302895994096721746122473853401825249936486008535385046166505862535651351385293216571476875955699041067992088576 binary64)))))) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x (neg.f64 z))))))
(if (<=.f64 z #s(literal -4100000000000000048658433234945981652634027610556017907528073329681353806476923046583307719335148277501731870820754342541721980510773873111689716254479864610658340327570925473989575184764496773120 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal -2597301565578305/1180591620717411303424 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (+.f64 x y) (if (or (<=.f64 z #s(literal 3999999999999999719029156098142204879723036672 binary64)) (and (not (<=.f64 z #s(literal 2999999999999999974470223024111721621642565114518416193220185473467414953911648256 binary64))) (<=.f64 z #s(literal 35500000000000002590437923451757805437302895994096721746122473853401825249936486008535385046166505862535651351385293216571476875955699041067992088576 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x (neg.f64 z))))))
(if (<=.f64 z #s(literal -8800000000000000258621213393716685260135141087095924191658390486434063409929352226827682236301104943925758829575117530599951272423210898875214829191264744666996215339554463322398823655579582464 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal -31 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 439999999999999991277092674789657062961840128 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 13200000000000000676247421320247789129237477799205228454055290442568370869491852115968 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 2100000000000000060262919306120376973977234838976796481580915508866810758927541629698002923524871004071530558071587661624383208762032565662871715840 binary64)) (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 x) z)))))))
(if (<=.f64 z #s(literal -8800000000000000258621213393716685260135141087095924191658390486434063409929352226827682236301104943925758829575117530599951272423210898875214829191264744666996215339554463322398823655579582464 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal -31 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 439999999999999991277092674789657062961840128 binary64)) (*.f64 z (neg.f64 y)) (if (or (<=.f64 z #s(literal 13200000000000000676247421320247789129237477799205228454055290442568370869491852115968 binary64)) (not (<=.f64 z #s(literal 2100000000000000060262919306120376973977234838976796481580915508866810758927541629698002923524871004071530558071587661624383208762032565662871715840 binary64)))) (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 y)))))))
(if (<=.f64 z #s(literal -8800000000000000258621213393716685260135141087095924191658390486434063409929352226827682236301104943925758829575117530599951272423210898875214829191264744666996215339554463322398823655579582464 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal -31 binary64)) (*.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 x y) (if (or (<=.f64 z #s(literal 439999999999999991277092674789657062961840128 binary64)) (not (or (<=.f64 z #s(literal 13200000000000000676247421320247789129237477799205228454055290442568370869491852115968 binary64)) (not (<=.f64 z #s(literal 2100000000000000060262919306120376973977234838976796481580915508866810758927541629698002923524871004071530558071587661624383208762032565662871715840 binary64)))))) (*.f64 y (neg.f64 z)) (*.f64 x (neg.f64 z))))))
(if (<=.f64 z #s(literal -8800000000000000258621213393716685260135141087095924191658390486434063409929352226827682236301104943925758829575117530599951272423210898875214829191264744666996215339554463322398823655579582464 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal -31 binary64)) (*.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 x y) (if (or (<=.f64 z #s(literal 439999999999999991277092674789657062961840128 binary64)) (and (not (<=.f64 z #s(literal 13200000000000000676247421320247789129237477799205228454055290442568370869491852115968 binary64))) (<=.f64 z #s(literal 2100000000000000060262919306120376973977234838976796481580915508866810758927541629698002923524871004071530558071587661624383208762032565662871715840 binary64)))) (*.f64 y (neg.f64 z)) (*.f64 x (neg.f64 z))))))
(if (<=.f64 z #s(literal -340000 binary64)) (*.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (*.f64 (neg.f64 x) z)))
(if (or (<=.f64 z #s(literal -340000 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 z (neg.f64 x)) (+.f64 x y))
(if (or (<=.f64 z #s(literal -340000 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 x (neg.f64 z)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 x #s(literal -6553174556823331/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) x y)
x

soundness907.0ms (14.5%)

Rules
830×log1p-expm1-u
830×expm1-log1p-u
785×log1p-expm1-u
785×expm1-log1p-u
624×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061215385
1140913549
2516613022
04056912
19706714
232826624
01351
115351
2204651
023123
137198
2539198
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 401 to 207 computations (48.4% saved)

preprocess147.0ms (2.3%)

Remove

(sort x y)

Compiler

Compiled 502 to 256 computations (49% saved)

end0.0ms (0%)

Profiling

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