SynthBasics:oscSampleBasedAux from YampaSynth-0.2

Time bar (total: 8.7s)

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 7 computations (36.4% 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)

sample1.3s (14.3%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-mult: 169.0ms (59.4% of total)
ival-sub: 53.0ms (18.6% of total)
ival-add: 52.0ms (18.3% of total)
const: 7.0ms (2.5% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess263.0ms (3%)

Algorithm
egg-herbie
Rules
1176×fma-neg
318×fma-define
241×distribute-rgt-in
186×unsub-neg
170×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036377
178321
2237317
3836317
41871317
53198317
63494317
73526317
83526317
94161317
104161317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (neg.f64 y) (-.f64 z x)))
(+.f64 x (*.f64 y (-.f64 (neg.f64 z) x)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))))
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))))
(neg.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 y (-.f64 x z)))
(+.f64 x (*.f64 z (-.f64 y x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(+.f64 x (*.f64 (neg.f64 y) (-.f64 z x)))
(+.f64 x (*.f64 (-.f64 z x) (neg.f64 y)))
(-.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 x z) x)
(+.f64 x (*.f64 y (-.f64 (neg.f64 z) x)))
(-.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (-.f64 (neg.f64 x) z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))))
(+.f64 x (*.f64 y (-.f64 (neg.f64 z) x)))
(-.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (-.f64 (neg.f64 x) z) x)
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))))
(neg.f64 (+.f64 x (*.f64 (-.f64 z x) (neg.f64 y))))
(-.f64 (*.f64 y (-.f64 z x)) x)
(neg.f64 (fma.f64 y (-.f64 x z) x))
(neg.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)

explain61.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 z x)
00-0-z
00-0-(*.f64 y (-.f64 z x))
00-0-y
00-0-(+.f64 x (*.f64 y (-.f64 z x)))
Results
33.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.2% of total)
ival-sub: 3.0ms (23.1% of total)
ival-add: 3.0ms (23.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

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

Compiled 19 to 11 computations (42.1% saved)

simplify69.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(fma.f64 y (-.f64 z x) x)
cost-diff-6272
(+.f64 x (*.f64 y (-.f64 z x)))
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
Rules
271×fma-define
251×fma-neg
52×cancel-sign-sub-inv
48×distribute-rgt-in
44×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014126
119126
231126
359126
4107126
5181126
6293126
7489126
8881126
91117126
101217126
111224126
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
(fma.f64 y (-.f64 z x) x)
y
(-.f64 z x)
z
x
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
(fma.f64 y (-.f64 z x) x)
y
(-.f64 z x)
z
x

localize32.0ms (0.4%)

Localize:

Found 5 expressions of interest:

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

Compiled 34 to 8 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-fma: 3.0ms (35.5% of total)
ival-sub: 2.0ms (23.7% of total)
ival-mult: 2.0ms (23.7% of total)
ival-add: 1.0ms (11.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
4 → 114
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 z x))>
#<alt (-.f64 z x)>
#<alt (+.f64 x (*.f64 y (-.f64 z x)))>
#<alt (fma.f64 y (-.f64 z x) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 z x)))>
#<alt (+.f64 x (*.f64 y (-.f64 z x)))>
#<alt (+.f64 x (*.f64 y (-.f64 z x)))>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
Calls

33 calls:

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

rewrite244.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
807×log1p-expm1-u
807×expm1-log1p-u
655×unpow-prod-down
367×log-prod
362×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01489
116889
2215389
Stop Event
node limit
Counts
4 → 278
Calls
Call 1
Inputs
(*.f64 y (-.f64 z x))
(-.f64 z x)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 z x)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
(fma.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (-.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 z x)) x)
(fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 z x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 z x) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (-.f64 z x)))))
(*.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (-.f64 z x) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (-.f64 z x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (-.f64 z x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (-.f64 z x) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
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(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 z x)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))

simplify206.0ms (2.4%)

Algorithm
egg-herbie
Rules
382×fma-neg
320×cancel-sign-sub-inv
297×unswap-sqr
289×associate-+r+
272×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054415183
1118913693
2367213461
Stop Event
node limit
Counts
392 → 299
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (-.f64 z x)))))
(*.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (-.f64 z x) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (-.f64 z x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (-.f64 z x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (-.f64 z x) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 z x)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (neg.f64 (*.f64 x (/.f64 y z)))))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (neg.f64 (*.f64 x (/.f64 y z)))))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (neg.f64 (*.f64 x (/.f64 y z)))))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (neg.f64 (*.f64 x (/.f64 y z)))))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (neg.f64 (*.f64 x (/.f64 y z)))))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (neg.f64 (*.f64 x (/.f64 y z)))))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 7 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z x)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 z x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z x)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z x)) x))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z x)) x))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 z x)) y)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)

eval49.0ms (0.6%)

Compiler

Compiled 6420 to 1086 computations (83.1% saved)

prune295.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4314435
Fresh000
Picked112
Done000
Total4325437
Accuracy
100.0%
Counts
437 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
93.9%
(+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
80.1%
(+.f64 x (*.f64 y z))
60.6%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
38.1%
x
Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify119.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x z))
cost-diff256
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
cost-diff256
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
cost-diff-6272
(+.f64 x (*.f64 y z))
cost-diff0
(*.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Rules
876×fma-neg
569×times-frac
435×fma-define
304×div-sub
300×associate-*r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019245
136237
277237
3183237
4521192
51292192
62228192
74341192
86649192
97963192
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
x
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
y
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(-.f64 #s(literal 1 binary64) (/.f64 x z))
#s(literal 1 binary64)
(/.f64 x z)
Outputs
x
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z
(+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)
(fma.f64 y (-.f64 z x) x)
x
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 y (-.f64 z x))
y
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(-.f64 z x)
z
(-.f64 #s(literal 1 binary64) (/.f64 x z))
#s(literal 1 binary64)
(/.f64 x z)

localize54.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 x z))
accuracy100.0%
(+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
accuracy100.0%
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
accuracy90.8%
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 y z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Results
37.0ms256×0valid
Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (45.3% of total)
ival-sub: 3.0ms (19.4% of total)
ival-add: 3.0ms (19.4% of total)
ival-div: 2.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.3%)

Counts
9 → 156
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (/.f64 (-.f64 z x) z)>
#<alt (/.f64 (-.f64 z x) z)>
#<alt (/.f64 (-.f64 z x) z)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* y (* z (- 1 (/ x z))))
1.0ms
z
@-inf
(* y (* z (- 1 (/ x z))))
1.0ms
x
@inf
(* y (* z (- 1 (/ x z))))
1.0ms
z
@inf
(* y (* z (- 1 (/ x z))))
1.0ms
x
@0
(* y (* z (- 1 (/ x z))))

rewrite184.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1056×log1p-expm1-u
1056×expm1-log1p-u
142×add-cube-cbrt
139×add-exp-log
137×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019207
1299199
24440199
Stop Event
node limit
Counts
9 → 241
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y z)
(+.f64 x (*.f64 y z))
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(-.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 x z)
(+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
Outputs
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64))) (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x))
(pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x)
(fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)
(fma.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(fma.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (sqrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))

simplify170.0ms (1.9%)

Algorithm
egg-herbie
Rules
463×distribute-lft-neg-in
448×fma-neg
414×distribute-rgt-neg-in
274×associate-*r*
253×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060012384
1137611448
2455610268
Stop Event
node limit
Counts
397 → 363
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
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(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (-.f64 z x) z)
(/.f64 (-.f64 z x) z)
(/.f64 (-.f64 z x) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
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(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 y z)
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(+.f64 x (*.f64 x (neg.f64 y)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
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(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))) (/.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)) (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x))
(*.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) (sqrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x))) (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64))) (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x))
(pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x)
(fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)
(fma.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(fma.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (sqrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
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(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 2 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(log.f64 (exp.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x) #s(literal 3 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 x z)) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (log.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) y x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (sqrt.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)

eval88.0ms (1%)

Compiler

Compiled 5127 to 1170 computations (77.2% saved)

prune50.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3603363
Fresh000
Picked134
Done011
Total3617368
Accuracy
100.0%
Counts
368 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
80.1%
(+.f64 x (*.f64 y z))
23.7%
(*.f64 (neg.f64 x) y)
61.0%
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
44.1%
(*.f64 y z)
60.6%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
38.1%
x
Compiler

Compiled 55 to 37 computations (32.7% saved)

simplify138.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x z))
cost-diff256
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
cost-diff256
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
cost-diff0
(*.f64 y z)
Rules
876×fma-neg
830×fma-define
348×div-sub
342×times-frac
325×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
018164
135164
269164
3162164
4464134
51174134
62134134
73523134
84914134
96495134
107287134
117482134
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y z)
y
z
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
y
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(-.f64 #s(literal 1 binary64) (/.f64 x z))
#s(literal 1 binary64)
(/.f64 x z)
x
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
Outputs
(*.f64 y z)
y
z
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 (*.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 y (-.f64 z x))
y
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(-.f64 z x)
z
(-.f64 #s(literal 1 binary64) (/.f64 x z))
#s(literal 1 binary64)
(/.f64 x z)
x
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(neg.f64 x)
x
y

localize60.0ms (0.7%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (neg.f64 x) y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 x z))
accuracy100.0%
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
accuracy90.8%
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
accuracy100.0%
(*.f64 y z)
Results
47.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 15.0ms (60.6% of total)
ival-div: 6.0ms (24.2% of total)
ival-sub: 2.0ms (8.1% of total)
ival-neg: 2.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 x) y)>
#<alt (neg.f64 x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<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

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (neg x) y)
0.0ms
y
@inf
(* (neg x) y)
0.0ms
x
@inf
(* (neg x) y)
0.0ms
y
@0
(* (neg x) y)
0.0ms
x
@inf
(neg x)

rewrite63.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
305×unpow-prod-down
278×log1p-expm1-u
278×expm1-log1p-u
265×add-exp-log
258×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
19026
210842
Stop Event
node limit
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(neg.f64 x)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify38.0ms (0.4%)

Algorithm
egg-herbie
Rules
38×fma-define
sub-neg
+-commutative
mul0-rgt
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012506
119506
230506
334506
442506
564506
681506
795506
8114506
9126506
Stop Event
saturated
Counts
38 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.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)
#s(literal 0 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval21.0ms (0.2%)

Compiler

Compiled 2235 to 573 computations (74.4% saved)

prune74.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1732175
Fresh000
Picked033
Done134
Total1748182
Accuracy
100.0%
Counts
182 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(+.f64 x (*.f64 y z))
23.7%
(*.f64 (neg.f64 x) y)
62.3%
(*.f64 y (-.f64 z x))
61.0%
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
44.1%
(*.f64 y z)
60.6%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
38.1%
x
2.6%
#s(literal 0 binary64)
Compiler

Compiled 57 to 40 computations (29.8% saved)

simplify26.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
Rules
190×fma-define
96×fma-neg
43×distribute-lft-in
41×distribute-rgt-in
32×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
11648
22648
34648
47748
511448
618648
730848
855148
968748
1075248
1175448
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
x
Outputs
#s(literal 0 binary64)
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
x

localize32.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z x)
accuracy100.0%
(*.f64 y (-.f64 z x))
Results
24.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 5.0ms (67.9% of total)
ival-mult: 2.0ms (27.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval22.0ms (0.3%)

Compiler

Compiled 2315 to 523 computations (77.4% saved)

prune31.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1840184
Fresh000
Picked022
Done066
Total1848192
Accuracy
100.0%
Counts
192 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(+.f64 x (*.f64 y z))
23.7%
(*.f64 (neg.f64 x) y)
62.3%
(*.f64 y (-.f64 z x))
61.0%
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
44.1%
(*.f64 y z)
60.6%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
38.1%
x
2.6%
#s(literal 0 binary64)
Compiler

Compiled 117 to 60 computations (48.7% saved)

regimes18.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (-.f64 z x))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 y (-.f64 z x) x)
Outputs
(fma.f64 y (-.f64 z x) x)
Calls

4 calls:

6.0ms
x
4.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes16.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (-.f64 z x))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 x (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
Calls

4 calls:

4.0ms
x
4.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes50.0ms (0.6%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (-.f64 z x))
(+.f64 x (*.f64 y z))
Outputs
(*.f64 y (-.f64 z x))
(+.f64 x (*.f64 y z))
(*.f64 y (-.f64 z x))
Calls

3 calls:

44.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
90.2%3x
98.0%3y
92.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (-.f64 z x))
Outputs
(*.f64 y (-.f64 z x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (-.f64 z x))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
78.6%3x
83.7%3z
83.2%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 y z)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y z)
Calls

2 calls:

3.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
67.1%3y
80.5%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 (neg.f64 x) y)
Outputs
(*.f64 y z)
x
(*.f64 y z)
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
64.1%3y
56.9%3x
64.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
Outputs
x
Calls

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
38.1%1x
38.1%1y
38.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.6%1x
2.6%1y
2.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.6691169024165022e-5
23.485267480500088
5.0ms
-225.48395415475733
-113.31479977134941
Results
11.0ms208×0valid
Compiler

Compiled 250 to 167 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (39.5% of total)
ival-mult: 2.0ms (39.5% of total)
ival-add: 1.0ms (19.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.1044596962977605e-27
7.8999040218776e-24
12.0ms
-3.50088426551735e+38
-8.60743202876107e+32
Results
15.0ms272×0valid
Compiler

Compiled 322 to 232 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (35.4% of total)
ival-mult: 2.0ms (35.4% of total)
ival-add: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.8548300789201757e-22
1.9975200296558694e-17
9.0ms
-2.1023229234460511e+46
-8.707418549195977e+43
Results
13.0ms256×0valid
Compiler

Compiled 272 to 203 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (37.6% of total)
ival-mult: 2.0ms (37.6% of total)
ival-add: 1.0ms (18.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch57.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.1443994875456876e-91
1.2600844941215115e-90
48.0ms
-3.50088426551735e+38
-8.60743202876107e+32
Results
48.0ms240×0valid
Compiler

Compiled 196 to 146 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (39.8% of total)
ival-mult: 2.0ms (39.8% of total)
ival-add: 1.0ms (19.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
if-if-or-not
+-commutative
*-commutative
sub-neg
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046321
174321
281321
385321
487321
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 y #s(literal -115 binary64)) (*.f64 y (-.f64 z x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (-.f64 z x))))
(if (<=.f64 z #s(literal -1400000000000000029874101805689864192 binary64)) (*.f64 y (-.f64 z x)) (if (<=.f64 z #s(literal 3266710722441009/680564733841876926926749214863536422912 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 z x))))
(if (<=.f64 z #s(literal -480000000000000026496902242617961156660166656 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 1590140912926291/81129638414606681695789005144064 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y z)))
(if (<=.f64 z #s(literal -500000000000000021210318687008980992 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 5733746539975179/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) x (*.f64 y z)))
x
#s(literal 0 binary64)
Outputs
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 y #s(literal -115 binary64)) (*.f64 y (-.f64 z x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (-.f64 z x))))
(if (or (<=.f64 y #s(literal -115 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (-.f64 z x)) (+.f64 x (*.f64 y z)))
(if (<=.f64 z #s(literal -1400000000000000029874101805689864192 binary64)) (*.f64 y (-.f64 z x)) (if (<=.f64 z #s(literal 3266710722441009/680564733841876926926749214863536422912 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 z x))))
(if (or (<=.f64 z #s(literal -1400000000000000029874101805689864192 binary64)) (not (<=.f64 z #s(literal 3266710722441009/680564733841876926926749214863536422912 binary64)))) (*.f64 y (-.f64 z x)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 z #s(literal -480000000000000026496902242617961156660166656 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 1590140912926291/81129638414606681695789005144064 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y z)))
(if (or (<=.f64 z #s(literal -480000000000000026496902242617961156660166656 binary64)) (not (<=.f64 z #s(literal 1590140912926291/81129638414606681695789005144064 binary64)))) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 z #s(literal -500000000000000021210318687008980992 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 5733746539975179/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) x (*.f64 y z)))
(if (or (<=.f64 z #s(literal -500000000000000021210318687008980992 binary64)) (not (<=.f64 z #s(literal 5733746539975179/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)))) (*.f64 y z) x)
x
#s(literal 0 binary64)

soundness4.8s (54.3%)

Rules
1176×fma-neg
463×distribute-lft-neg-in
448×fma-neg
414×distribute-rgt-neg-in
382×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060012384
1137611448
2455610268
054415183
1118913693
2367213461
036377
178321
2237317
3836317
41871317
53198317
63494317
73526317
83526317
94161317
104161317
01034
19026
210842
Stop Event
done
node limit
saturated
node limit
node limit
Compiler

Compiled 440 to 190 computations (56.8% saved)

preprocess64.0ms (0.7%)

Compiler

Compiled 192 to 92 computations (52.1% saved)

end0.0ms (0%)

Profiling

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