Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

Time bar (total: 4.9s)

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 13 to 9 computations (30.8% saved)

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

sample1.1s (21.8%)

Results
753.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-mult: 210.0ms (51.6% of total)
ival-sub: 135.0ms (33.2% of total)
ival-add: 47.0ms (11.6% of total)
const: 12.0ms (3% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess202.0ms (4.1%)

Algorithm
egg-herbie
Rules
1182×fmm-def
301×fma-define
196×distribute-rgt-in
165×unsub-neg
133×distribute-lft-in
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
040399
1102387
2236379
3681351
41705339
52867337
63236337
73276337
83280337
93280317
103923317
113923317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(+.f64 y (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 x z))
(-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y (*.f64 x (neg.f64 z))))
(-.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) (*.f64 x z))
(-.f64 (*.f64 x (-.f64 z y)) y)
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 x z))
(-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 y 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)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x z))
(fma.f64 x z (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x z))
(-.f64 y (*.f64 z (-.f64 y x)))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)

explain131.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
00-0-x
00-0-(*.f64 x z)
00-0-z
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-y
Results
105.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (47.8% of total)
ival-add: 5.0ms (29.9% of total)
ival-sub: 3.0ms (17.9% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 39 to 16 computations (59% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
96.5%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize114.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 y (*.f64 x (-.f64 y z)))
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff-6144
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
accuracy100.0%
(*.f64 x (-.f64 y z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy96.9%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Rules
255×fmm-def
237×fma-define
40×sub-neg
39×distribute-rgt-in
37×associate--r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017168
137168
271168
3171156
4376156
5647156
6997156
71145156
81157156
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z
(-.f64 y (*.f64 x (-.f64 y z)))
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
z
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x (-.f64 z y) y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z
(-.f64 y (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x (-.f64 z y) y)
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
z
Results
61.0ms256×0valid
Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.2% of total)
ival-sub: 4.0ms (31.5% of total)
ival-add: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (1.1%)

Counts
7 → 153
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 x z)>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (-.f64 y z))>
#<alt (-.f64 y (*.f64 x (-.f64 y z)))>
#<alt (-.f64 y z)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y 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 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) 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) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x z)>
#<alt (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (-.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (-.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (-.f64 y z)))))>
#<alt (-.f64 y (*.f64 x y))>
#<alt (-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))>
#<alt (-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))>
#<alt (-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 x y)) z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 x y)) z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 x y)) z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
Calls

48 calls:

TimeVariablePointExpression
37.0ms
x
@inf
(* (- 1 x) y)
1.0ms
y
@inf
(- y z)
1.0ms
y
@inf
(* (- 1 x) y)
1.0ms
x
@inf
(+ (* (- 1 x) y) (* x z))
1.0ms
y
@0
(+ (* (- 1 x) y) (* x z))

rewrite332.0ms (6.8%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u
910×expm1-log1p-u
734×fma-define
303×fmm-def
123×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017141
1258141
23829141
Stop Event
node limit
Counts
7 → 337
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 x z)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 y z))
(-.f64 y (*.f64 x (-.f64 y z)))
(-.f64 y z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))))
(*.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (*.f64 x z))
(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) y) (*.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) y) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 y (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 y z))) y)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 y z) y)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y z)) y)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) y)
(+.f64 y (neg.f64 z))
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
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(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) y)
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(exp.f64 (log.f64 (-.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 z))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
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(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
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(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) y)
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(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
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(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) y)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) y)
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)

simplify211.0ms (4.3%)

Algorithm
egg-herbie
Rules
630×fmm-def
526×distribute-lft-neg-in
280×sub-neg
276×associate-*l*
274×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070915646
1166014533
2504514481
Stop Event
node limit
Counts
490 → 438
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
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(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
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(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
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(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (fma.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 x (-.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (fma.f64 (neg.f64 x) (-.f64 y z) (*.f64 x (-.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (sqrt.f64 (fma.f64 (-.f64 y z) (neg.f64 x) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y z)) (fma.f64 x (-.f64 y z) y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y z)) (fma.f64 x (-.f64 y z) y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y z)) (fma.f64 x (-.f64 y z) y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (-.f64 y z) (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y z)) (fma.f64 x (-.f64 y z) y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y z)) (fma.f64 x (-.f64 y z) y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))))
(fma.f64 (neg.f64 x) (-.f64 y z) y)
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) y)) (fma.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) y)) (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) y)) (fma.f64 (neg.f64 x) (-.f64 y z) (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))))
(fma.f64 (neg.f64 (-.f64 y z)) x y)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) y)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 y z)))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 y z))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 y z)))) y)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 y z)))) (sqrt.f64 (*.f64 x (neg.f64 (-.f64 y z)))) y)
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y z)) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 x (-.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (fma.f64 (neg.f64 x) (-.f64 y z) (*.f64 x (-.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 y z))) y)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 y z) y)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y z)) y)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) y)
(+.f64 y (neg.f64 z))
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) y)
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(exp.f64 (log.f64 (-.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) y)
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) y)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) y)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) y)
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
Outputs
y
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 z y))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
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(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 y z))) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 y z) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y z)) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (neg.f64 z))
(-.f64 y z)
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(+.f64 (neg.f64 z) y)
(-.f64 y z)
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 y z)
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(-.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(-.f64 y z)
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(-.f64 y z)
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(-.f64 y z)
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 y z)
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(-.f64 y z)
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(-.f64 y z)
(log.f64 (exp.f64 (-.f64 y z)))
(-.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(-.f64 y z)
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(-.f64 y z)
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(-.f64 y z)
(exp.f64 (log.f64 (-.f64 y z)))
(-.f64 y z)
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y)
(-.f64 y z)
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(-.f64 y z)
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 z))
(-.f64 y z)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) y)
(-.f64 y z)
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(-.f64 y z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) y)
(-.f64 y z)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) y)
(-.f64 y z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) y)
(-.f64 y z)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) y)
(-.f64 y z)
(fma.f64 #s(literal -1 binary64) z y)
(-.f64 y z)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(-.f64 y z)

eval62.0ms (1.3%)

Compiler

Compiled 6958 to 1180 computations (83% saved)

prune66.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4326438
Fresh000
Picked202
Done000
Total4346440
Accuracy
100.0%
Counts
440 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(-.f64 y (*.f64 (neg.f64 x) z))
57.0%
(-.f64 y (*.f64 y x))
57.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
68.0%
(*.f64 x (-.f64 z y))
46.5%
(*.f64 x z)
33.4%
y
Compiler

Compiled 86 to 58 computations (32.6% saved)

localize83.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 z y)
cost-diff0
(*.f64 x (-.f64 z y))
cost-diff0
(*.f64 x z)
cost-diff-6208
(-.f64 y (*.f64 (neg.f64 x) z))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(*.f64 x (-.f64 z y))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(-.f64 y (*.f64 (neg.f64 x) z))
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
Rules
230×fma-define
133×fmm-def
52×associate-*r*
51×unsub-neg
43×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019169
141169
275165
3224165
4544165
5892165
61033165
71067165
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 y (*.f64 (neg.f64 x) z))
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(*.f64 x z)
x
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(-.f64 y (*.f64 (neg.f64 x) z))
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
y
(*.f64 (neg.f64 x) z)
(*.f64 x (neg.f64 z))
(neg.f64 x)
x
z
y
(*.f64 x z)
x
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Results
37.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (50.2% of total)
ival-sub: 6.0ms (37.7% of total)
ival-neg: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
6 → 129
Calls
Call 1
Inputs
#<alt (neg.f64 x)>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (-.f64 y (*.f64 (neg.f64 x) z))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (-.f64 z y)>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
Outputs
#<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)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (-.f64 (/.f64 y x) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) z)))>
#<alt y>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) 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 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z 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) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y 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 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
Calls

39 calls:

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

rewrite147.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
725×log1p-expm1-u
725×expm1-log1p-u
575×log-prod
411×fma-define
192×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018101
125193
2368189
Stop Event
node limit
Counts
6 → 341
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 (neg.f64 x) z)
(-.f64 y (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 z y))
(-.f64 z y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) (cbrt.f64 (pow.f64 (exp.f64 z) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(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 x z) #s(literal 1 binary64))
(neg.f64 (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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 y (*.f64 x z))
(+.f64 (fma.f64 x z y) (fma.f64 x z (*.f64 x z)))
(+.f64 (fma.f64 x z y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 #s(literal 0 binary64) (fma.f64 x z y))
(+.f64 (*.f64 x z) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x z y))) (cbrt.f64 (exp.f64 (fma.f64 x z y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x z y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x z y)))))
(*.f64 (fma.f64 x z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x z y))
(*.f64 (cbrt.f64 (fma.f64 x z y)) (pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z y)))
(*.f64 (sqrt.f64 (fma.f64 x z y)) (sqrt.f64 (fma.f64 x z y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (fma.f64 x z y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x z) (fma.f64 x z y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x z y) (pow.f64 (fma.f64 x z y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (fma.f64 x z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x z y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x z) (fma.f64 x z y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64))) (neg.f64 (fma.f64 x z y)))
(pow.f64 (fma.f64 x z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 z) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z)))))
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(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) z)
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) z)
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal -1 binary64) y z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) z)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))

simplify184.0ms (3.8%)

Algorithm
egg-herbie
Rules
542×fmm-def
298×cancel-sign-sub-inv
273×distribute-lft-neg-in
250×distribute-rgt-neg-in
248×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066112186
1138710919
2433310867
Stop Event
node limit
Counts
470 → 439
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x z)
(-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 x (-.f64 (/.f64 y x) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y x) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y x) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) z)))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 z (-.f64 (/.f64 y z) (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 (/.f64 y z) (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 (/.f64 y z) (*.f64 #s(literal -1 binary64) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) y)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 #s(literal -1 binary64) y))
(+.f64 z (*.f64 #s(literal -1 binary64) y))
(+.f64 z (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 z 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) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
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(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 (neg.f64 y) x))
(+.f64 z (neg.f64 y))
(+.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 z y) (+.f64 (neg.f64 y) y))
(+.f64 #s(literal 0 binary64) (-.f64 z y))
(+.f64 (neg.f64 y) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 z y))) (cbrt.f64 (exp.f64 (-.f64 z y))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 z y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 z y)))))
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(*.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)))
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 z y)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 z (neg.f64 y)))
(pow.f64 (-.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z y))))
(log.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 z)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 z)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 z y)))
(log1p.f64 (expm1.f64 (-.f64 z y)))
(exp.f64 (log.f64 (-.f64 z y)))
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (neg.f64 y))
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 z y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 z y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 z y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) z)
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) z)
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal -1 binary64) y z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) z)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
Outputs
(*.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)
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 x z)
(-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(-.f64 y (*.f64 x (neg.f64 z)))
(fma.f64 x z y)
(-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(-.f64 y (*.f64 x (neg.f64 z)))
(fma.f64 x z y)
(-.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(-.f64 y (*.f64 x (neg.f64 z)))
(fma.f64 x z y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
y
(+.f64 y (*.f64 x z))
(-.f64 y (*.f64 x (neg.f64 z)))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
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eval59.0ms (1.2%)

Compiler

Compiled 5603 to 1116 computations (80.1% saved)

prune70.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5002502
Fresh011
Picked145
Done000
Total5017508
Accuracy
100.0%
Counts
508 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(-.f64 y (*.f64 y x))
77.9%
(+.f64 (*.f64 x z) y)
26.1%
(*.f64 (neg.f64 x) y)
57.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
68.0%
(*.f64 x (-.f64 z y))
46.5%
(*.f64 x z)
33.4%
y
Compiler

Compiled 49 to 33 computations (32.7% saved)

localize82.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 y (*.f64 y x))
cost-diff-6272
(+.f64 (*.f64 x z) y)
cost-diff0
(*.f64 x z)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 y (*.f64 y x))
accuracy100.0%
(+.f64 (*.f64 x z) y)
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(*.f64 (neg.f64 x) y)
accuracy100.0%
(neg.f64 x)
Rules
186×fma-define
172×fmm-def
42×associate-*r*
37×distribute-rgt-in
37×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016119
132119
246118
376116
4112116
5193116
6325116
7456116
8563116
9633116
10748116
11958116
12966116
13972116
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(+.f64 (*.f64 x z) y)
(*.f64 x z)
x
z
y
(-.f64 y (*.f64 y x))
y
(*.f64 y x)
x
Outputs
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(neg.f64 x)
x
y
(+.f64 (*.f64 x z) y)
(fma.f64 x z y)
(*.f64 x z)
x
z
y
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 x y))
(*.f64 y (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(*.f64 y x)
(*.f64 x y)
x
Results
30.0ms256×0valid
Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (57.2% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-neg: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
4 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 x) y)>
#<alt (+.f64 (*.f64 x z) y)>
#<alt (-.f64 y (*.f64 y x))>
#<alt (*.f64 y 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 y>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 y x)))>
#<alt (*.f64 x (+.f64 z (/.f64 y x)))>
#<alt (*.f64 x (+.f64 z (/.f64 y x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt y>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
Calls

27 calls:

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

rewrite110.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
884×log1p-expm1-u
884×expm1-log1p-u
462×log-prod
347×fma-define
177×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01674
121663
2309962
Stop Event
node limit
Counts
4 → 194
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(+.f64 (*.f64 x z) y)
(-.f64 y (*.f64 y x))
(*.f64 y x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 x z) y)))
(*.f64 (fma.f64 x z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x z y))
(*.f64 (cbrt.f64 (fma.f64 x z y)) (pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z y)))
(*.f64 (sqrt.f64 (fma.f64 x z y)) (sqrt.f64 (fma.f64 x z y)))
(*.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x z) y) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (*.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x z) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x z) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 y (*.f64 x z)))
(pow.f64 (fma.f64 x z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z y)))
(log1p.f64 (expm1.f64 (fma.f64 x z y)))
(exp.f64 (log.f64 (fma.f64 x z y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z y)) #s(literal 1 binary64)))
(fma.f64 x z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x z))
(fma.f64 z x y)
(fma.f64 (*.f64 x z) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) y)
(fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) y)
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) y)
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 x y) y)
(+.f64 (fma.f64 x y y) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x y y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y y))
(*.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)))
(*.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(/.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (fma.f64 x y y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y y)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (exp.f64 y)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(hypot.f64 y (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 x (neg.f64 y) y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (fma.f64 x y (*.f64 x y)))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (fma.f64 x y (*.f64 x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) y)
(fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (fma.f64 x y (*.f64 x y)))
(fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (fma.f64 x y (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) y)
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) y)
(fma.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x y)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x y)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 y #s(literal -1 binary64)) x y)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))

simplify164.0ms (3.4%)

Algorithm
egg-herbie
Rules
433×associate-/l*
404×distribute-lft-in
383×distribute-rgt-in
382×associate-/r*
272×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03817220
18387015
223186870
379406870
Stop Event
node limit
Counts
302 → 211
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))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 x z)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 x z) y)))
(*.f64 (fma.f64 x z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x z y))
(*.f64 (cbrt.f64 (fma.f64 x z y)) (pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z y)))
(*.f64 (sqrt.f64 (fma.f64 x z y)) (sqrt.f64 (fma.f64 x z y)))
(*.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x z) y) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (*.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x z) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x z) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 y (*.f64 x z)))
(pow.f64 (fma.f64 x z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z y)))
(log1p.f64 (expm1.f64 (fma.f64 x z y)))
(exp.f64 (log.f64 (fma.f64 x z y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z y)) #s(literal 1 binary64)))
(fma.f64 x z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x z))
(fma.f64 z x y)
(fma.f64 (*.f64 x z) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) y)
(fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) y)
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) y)
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 x y) y)
(+.f64 (fma.f64 x y y) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x y y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y y))
(*.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)))
(*.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(/.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (fma.f64 x y y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y y)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (exp.f64 y)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(hypot.f64 y (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 x (neg.f64 y) y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (fma.f64 x y (*.f64 x y)))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (fma.f64 x y (*.f64 x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) y)
(fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (fma.f64 x y (*.f64 x y)))
(fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (fma.f64 x y (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) y)
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) y)
(fma.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x y)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x y)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 y #s(literal -1 binary64)) x y)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
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(fma.f64 x y y)
(fma.f64 (neg.f64 y) x y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 x y (*.f64 x y)))
(fma.f64 x y y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (fma.f64 x y (*.f64 x y)))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) (fma.f64 x y (*.f64 x y)))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 y (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 x y y)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 x y y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 x y y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 x y y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 x y y)
(fma.f64 (*.f64 y #s(literal -1 binary64)) x y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(*.f64 x (neg.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)

eval33.0ms (0.7%)

Compiler

Compiled 2916 to 578 computations (80.2% saved)

prune40.0ms (0.8%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2720272
Fresh000
Picked033
Done044
Total2727279
Accuracy
100.0%
Counts
279 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(-.f64 y (*.f64 y x))
77.9%
(+.f64 (*.f64 x z) y)
26.1%
(*.f64 (neg.f64 x) y)
57.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
68.0%
(*.f64 x (-.f64 z y))
46.5%
(*.f64 x z)
33.4%
y
Compiler

Compiled 102 to 54 computations (47.1% saved)

regimes17.0ms (0.3%)

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

4 calls:

4.0ms
y
4.0ms
z
4.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
y
(*.f64 x z)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 z y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x z) y)
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 (neg.f64 x) z))
Outputs
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 x z) y)
(*.f64 x (-.f64 z y))
Calls

3 calls:

3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
87.5%3y
88.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

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

3 calls:

3.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
81.6%3y
82.1%3z
86.4%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

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

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
60.5%4y
60.7%3z
69.5%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
65.1%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

3 calls:

2.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
33.4%1y
33.4%1z
33.4%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
6.095142816254321e-35
4.4862933701502535e-34
11.0ms
-202.47861856536016
-0.17811841387425134
Results
17.0ms224×0valid
Compiler

Compiled 270 to 181 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47.9% of total)
ival-sub: 1.0ms (16% of total)
ival-add: 1.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
6.095142816254321e-35
4.4862933701502535e-34
16.0ms
-5.495155149200829e-58
-3.575619193833111e-64
Results
17.0ms240×0valid
Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58.1% of total)
ival-sub: 2.0ms (29.1% of total)
ival-add: 1.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch65.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
6.095142816254321e-35
4.4862933701502535e-34
13.0ms
-5.495155149200829e-58
-3.575619193833111e-64
19.0ms
-7.405820321231384e+115
-2.1809486678786436e+112
13.0ms
-1.6211308051284002e+222
-2.1312422207904467e+221
Results
34.0ms464×0valid
Compiler

Compiled 408 to 302 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54.9% of total)
ival-sub: 3.0ms (23.5% of total)
ival-add: 2.0ms (15.7% of total)
const: 1.0ms (7.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
6.095142816254321e-35
4.4862933701502535e-34
18.0ms
-5.495155149200829e-58
-3.575619193833111e-64
Results
20.0ms240×0valid
Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (62.5% of total)
ival-sub: 2.0ms (25% of total)
ival-add: 1.0ms (12.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify287.0ms (5.9%)

Algorithm
egg-herbie
Rules
55×unsub-neg
50×distribute-lft-neg-in
40×neg-mul-1
23×neg-sub0
20×distribute-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050317
181317
2102317
3118317
4140317
5165317
6188317
7228317
8275317
9294317
10325317
11345317
12366317
13380317
14390317
15404317
16412317
17414317
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 y (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 2572242881702389/5846006549323611672814739330865132078623730171904 binary64)) (+.f64 (*.f64 x z) y) (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -4052723123306067/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) y (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -240000000000000019210764138137957265112578692044296774790259862572149058402368750027243539104442893371700461935509129913536385805484687940943016970304673425874977936763042444090873986190394003950766959333469620120194121728 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal -760000000000000066506424377970098807756388739600540823190261413457744584329479494730213876319834140821746199035904 binary64)) (*.f64 (neg.f64 x) y) (if (<=.f64 x #s(literal -2431181561135057/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) y (*.f64 x z)))))
(if (<=.f64 x #s(literal -7067388259113537/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 7599808514120695/23384026197294446691258957323460528314494920687616 binary64)) y (*.f64 x z)))
y
Outputs
(-.f64 y (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 2572242881702389/5846006549323611672814739330865132078623730171904 binary64)) (+.f64 (*.f64 x z) y) (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 2572242881702389/5846006549323611672814739330865132078623730171904 binary64)))) (*.f64 x (-.f64 z y)) (+.f64 y (*.f64 x z)))
(if (<=.f64 x #s(literal -4052723123306067/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) y (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -4052723123306067/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (not (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)))) (*.f64 x (-.f64 z y)) y)
(if (<=.f64 x #s(literal -240000000000000019210764138137957265112578692044296774790259862572149058402368750027243539104442893371700461935509129913536385805484687940943016970304673425874977936763042444090873986190394003950766959333469620120194121728 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal -760000000000000066506424377970098807756388739600540823190261413457744584329479494730213876319834140821746199035904 binary64)) (*.f64 (neg.f64 x) y) (if (<=.f64 x #s(literal -2431181561135057/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) y (*.f64 x z)))))
(if (<=.f64 x #s(literal -240000000000000019210764138137957265112578692044296774790259862572149058402368750027243539104442893371700461935509129913536385805484687940943016970304673425874977936763042444090873986190394003950766959333469620120194121728 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal -760000000000000066506424377970098807756388739600540823190261413457744584329479494730213876319834140821746199035904 binary64)) (*.f64 y (neg.f64 x)) (if (or (<=.f64 x #s(literal -2431181561135057/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (not (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)))) (*.f64 x z) y)))
(if (<=.f64 x #s(literal -7067388259113537/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 7599808514120695/23384026197294446691258957323460528314494920687616 binary64)) y (*.f64 x z)))
(if (or (<=.f64 x #s(literal -7067388259113537/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (not (<=.f64 x #s(literal 7599808514120695/23384026197294446691258957323460528314494920687616 binary64)))) (*.f64 x z) y)
y

soundness1.1s (21.8%)

Rules
1182×fmm-def
725×log1p-expm1-u
725×expm1-log1p-u
630×fmm-def
575×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040399
1102387
2236379
3681351
41705339
52867337
63236337
73276337
83280337
93280317
103923317
113923317
070915646
1166014533
2504514481
066112186
1138710919
2433310867
018101
125193
2368189
Stop Event
done
node limit
node limit
node limit
saturated
Compiler

Compiled 222 to 107 computations (51.8% saved)

preprocess106.0ms (2.2%)

Compiler

Compiled 216 to 114 computations (47.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...