Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

Time bar (total: 5.7s)

analyze0.0ms (0%)

Algorithm
1×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 (19.9%)

Results
941.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 494.0ms
ival-mult: 238.0ms (48.2% of total)
ival-add: 185.0ms (37.5% of total)
ival-sub: 56.0ms (11.3% of total)
const: 12.0ms (2.4% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess208.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1071×fma-neg
570×fma-define
209×distribute-rgt-in
189×unsub-neg
126×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040399
1100391
2228381
3636353
41606329
53164329
63531329
73594329
83602329
93602329
104062329
114062329
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(+.f64 (*.f64 y x) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 x y))
(-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) x)) (*.f64 x y))
(-.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z)
(neg.f64 (fma.f64 x (+.f64 y z) z))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 (*.f64 x y) (*.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x y))
(+.f64 z (*.f64 x (+.f64 z y)))
(fma.f64 x (+.f64 y z) z)
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(fma.f64 y x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 x y (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y))
(-.f64 (*.f64 y (+.f64 x z)) z)
(fma.f64 y (+.f64 x z) (neg.f64 z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
(fma.f64 z y (*.f64 x (+.f64 z #s(literal -1 binary64))))
(fma.f64 x (+.f64 z #s(literal -1 binary64)) (*.f64 y z))
(-.f64 (*.f64 z (+.f64 y x)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) (*.f64 x z))
(-.f64 (*.f64 x (+.f64 z y)) y)
(fma.f64 x (+.f64 y z) (neg.f64 y))

explain183.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-0-(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
00-0-(*.f64 x y)
00-0-x
00-0-z
00-0-#s(literal 1 binary64)
00-0-y
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(*.f64 (-.f64 x #s(literal 1 binary64)) z)
Results
156.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (63.5% of total)
ival-sub: 3.0ms (15.9% of total)
ival-add: 3.0ms (15.9% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 33 to 15 computations (54.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
▶100.0%
(-.f64 (*.f64 x (+.f64 z y)) z)
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify46.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff6400
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
✓cost-diff-6336
(-.f64 (*.f64 x (+.f64 z y)) z)
✓cost-diff0
(+.f64 z y)
✓cost-diff0
(*.f64 x (+.f64 z y))
Rules
377×fma-define
336×fma-neg
88×cancel-sign-sub-inv
69×distribute-rgt-in
48×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017145
132145
249145
376145
4116145
5193145
6350145
7778145
81213145
91507145
101562145
111565145
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 x (+.f64 z y))
x
(+.f64 z y)
z
y
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
z
(*.f64 x y)
y
Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 x (+.f64 z y))
x
(+.f64 z y)
z
y
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
z
(*.f64 x y)
y

localize75.0ms (1.3%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.6%
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
✓accuracy100.0%
(-.f64 (*.f64 x (+.f64 z y)) z)
✓accuracy100.0%
(+.f64 z y)
✓accuracy100.0%
(*.f64 x (+.f64 z y))
Results
28.0ms256×0valid
Compiler

Compiled 40 to 11 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (31.8% of total)
ival-mult: 4.0ms (31.8% of total)
ival-fma: 3.0ms (23.9% of total)
ival-sub: 1.0ms (8% of total)
const: 1.0ms (8% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.5%)

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

42 calls:

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

rewrite279.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
777×log1p-expm1-u
777×expm1-log1p-u
578×fma-define
574×log-prod
320×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017122
1226122
23295122
Stop Event
1×node limit
Counts
6 → 312
Calls
Call 1
Inputs
(*.f64 x (+.f64 z y))
(+.f64 z y)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(+.f64 x #s(literal -1 binary64))
(*.f64 x y)
Outputs
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 z y)))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 z y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 z y))
(pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (exp.f64 (*.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 (*.f64 x z))))
(log.f64 (*.f64 (exp.f64 (*.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 z y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 x y))
(fma.f64 x y (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 x y))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.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 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (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 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y z) (pow.f64 z #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 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (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 y (-.f64 y z) (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 y y (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z y))))
(/.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 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y z) (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 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(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) (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))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(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) y)
(fma.f64 y #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(+.f64 (*.f64 x (+.f64 z y)) (neg.f64 z))
(+.f64 (*.f64 x (+.f64 z y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 x (+.f64 z y)) z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 (*.f64 x (+.f64 z y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 (*.f64 x (+.f64 z y)) z) (+.f64 (neg.f64 z) z))
(+.f64 (neg.f64 z) (*.f64 x (+.f64 z y)))
(+.f64 (*.f64 x z) (-.f64 (*.f64 x y) z))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (+.f64 z y)) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 z y)) z))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 z y)) z))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 z y)) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 z y)) z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 z y)) z)))))
(*.f64 (-.f64 (*.f64 x (+.f64 z y)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 z y)) z))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)) (sqrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) z)))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 z y) z) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (+.f64 z y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (+.f64 z y) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 x (+.f64 z y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 x (+.f64 z y)) (neg.f64 z)))
(pow.f64 (-.f64 (*.f64 x (+.f64 z y)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 z y)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 z y)) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 z y)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 z y)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (+.f64 z y)) z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (exp.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z y)))) (/.f64 #s(literal 1 binary64) (exp.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z y)))) (exp.f64 (neg.f64 z))))
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(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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)))

simplify317.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
393×distribute-lft-neg-in
340×distribute-rgt-neg-in
256×unswap-sqr
244×associate-*r*
231×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069414483
1161414041
2471714008
Stop Event
1×node limit
Counts
456 → 405
Calls
Call 1
Inputs
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x 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 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x z)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
y
(+.f64 y z)
(+.f64 y z)
(+.f64 y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
z
(+.f64 y z)
(+.f64 y z)
(+.f64 y z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(-.f64 (*.f64 x z) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(*.f64 x y)
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) y)))))
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 z y)))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 z y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 z y))
(pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (exp.f64 (*.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 (*.f64 x z))))
(log.f64 (*.f64 (exp.f64 (*.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 z y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 x y))
(fma.f64 x y (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 x y))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
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(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 z y)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (*.f64 x (+.f64 z y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (-.f64 (*.f64 x y) z))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x (+.f64 z y)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (-.f64 (*.f64 x y) z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (*.f64 x y) z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (*.f64 x y) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x (+.f64 z y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (-.f64 (*.f64 x y) z))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (-.f64 (*.f64 x y) z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z y)) (neg.f64 z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y)) (neg.f64 z))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 z y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (+.f64 z y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 z y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (+.f64 z y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (-.f64 (*.f64 x y) z))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 x y) z))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)))) (cbrt.f64 (exp.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) (sqrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 z (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 z (+.f64 x #s(literal -1 binary64)))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 x y)))
(pow.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (exp.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 x z)
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
y
(+.f64 y z)
(+.f64 y z)
(+.f64 y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(+.f64 y z)
(+.f64 y z)
(+.f64 y z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) z)
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(pow.f64 (pow.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) #s(literal 2 binary64))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(log.f64 (exp.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)))))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (exp.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))))))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))))))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(log.f64 (*.f64 (exp.f64 (*.f64 z (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (+.f64 y z)) z)))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(exp.f64 (log.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 x #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 x #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(+.f64 x #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 x #s(literal -1 binary64))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 x #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1 binary64)))))
(+.f64 x #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(+.f64 x #s(literal -1 binary64))
(expm1.f64 (log.f64 x))
(+.f64 x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 x #s(literal -1 binary64))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 x #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (*.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 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.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)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.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)

eval49.0ms (0.9%)

Compiler

Compiled 5801 to 1098 computations (81.1% saved)

prune200.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4014405
Fresh000
Picked112
Done000
Total4025407
Accuracy
100.0%
Counts
407 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.8%
(-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)
✓100.0%
(-.f64 (*.f64 x (+.f64 z y)) z)
▶64.9%
(-.f64 (*.f64 x z) z)
▶77.9%
(-.f64 (*.f64 x y) z)
▶40.7%
(neg.f64 z)
Compiler

Compiled 45 to 28 computations (37.8% saved)

simplify339.0ms (5.9%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6080
(-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)
cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x y) z)
✓cost-diff256
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(-.f64 (*.f64 x z) z)
✓cost-diff-6336
(-.f64 (*.f64 x y) z)
cost-diff0
(*.f64 x y)
✓cost-diff0
(neg.f64 z)
Rules
2823×fma-neg
515×times-frac
480×distribute-lft-neg-in
414×div-sub
338×distribute-rgt-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019269
141251
284251
3169238
4335226
5646226
61330226
73890226
85765226
96823226
107401226
117454226
127533226
137551226
147794226
157828226
167828226
177828226
Stop Event
1×node limit
Calls
Call 1
Inputs
(neg.f64 z)
z
(-.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(-.f64 (*.f64 x z) z)
(*.f64 x z)
x
z
(-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
z
(+.f64 x (/.f64 (*.f64 x y) z))
x
(/.f64 (*.f64 x y) z)
(*.f64 x y)
y
Outputs
(neg.f64 z)
z
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(*.f64 x y)
x
y
z
(-.f64 (*.f64 x z) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 x z)
(*.f64 z x)
x
z
(-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)
(fma.f64 z (+.f64 x (*.f64 x (/.f64 y z))) (neg.f64 z))
(*.f64 z (+.f64 (fma.f64 x (/.f64 y z) x) #s(literal -1 binary64)))
(fma.f64 x (+.f64 z (*.f64 y #s(literal 1 binary64))) (neg.f64 z))
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 x (+.f64 z (*.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 z y))
z
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
x
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x y)
y

localize165.0ms (2.9%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(+.f64 x (/.f64 (*.f64 x y) z))
✓accuracy91.1%
(/.f64 (*.f64 x y) z)
✓accuracy89.2%
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
✓accuracy100.0%
(*.f64 x z)
✓accuracy100.0%
(-.f64 (*.f64 x z) z)
✓accuracy100.0%
(-.f64 (*.f64 x y) z)
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(neg.f64 z)
Results
138.0ms256×0valid
Compiler

Compiled 66 to 13 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (45.1% of total)
ival-sub: 5.0ms (25.1% of total)
ival-div: 2.0ms (10% of total)
ival-add: 1.0ms (5% of total)
ival-neg: 1.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series73.0ms (1.3%)

Counts
8 → 159
Calls
Call 1
Inputs
#<alt (neg.f64 z)>
#<alt (-.f64 (*.f64 x y) z)>
#<alt (-.f64 (*.f64 x z) z)>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x 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 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 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 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 x (/.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 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.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) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) z)>
#<alt (-.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) z)>
#<alt (-.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) z)>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 z x))))>
#<alt (-.f64 (*.f64 x z) z)>
#<alt (-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 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 z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt x>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt x>
#<alt x>
Calls

60 calls:

TimeVariablePointExpression
52.0ms
y
@inf
(/ (* x y) z)
1.0ms
x
@0
(- (* x z) z)
1.0ms
x
@-inf
(* z (+ x (/ (* x y) z)))
1.0ms
x
@0
(* z (+ x (/ (* x y) z)))
1.0ms
z
@-inf
(* z (+ x (/ (* x y) z)))

rewrite168.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1023×log1p-expm1-u
771×expm1-log1p-u
144×add-cube-cbrt
141×add-exp-log
141×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019207
1303179
24991179
Stop Event
1×node limit
Counts
8 → 278
Calls
Call 1
Inputs
(neg.f64 z)
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 x z) z)
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(/.f64 (*.f64 x y) z)
(-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)
(+.f64 x (/.f64 (*.f64 x y) z))
Outputs
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(+.f64 (fma.f64 x y z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 z (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 z (*.f64 x y))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 z (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 x y)))))
(/.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (fma.f64 x y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 z (*.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y z)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(+.f64 z (*.f64 z x))
(+.f64 (*.f64 z x) z)
(+.f64 (fma.f64 z x z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 z x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 z x z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 z (+.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 z x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z x z))
(*.f64 (cbrt.f64 (fma.f64 z x z)) (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) x) (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y z)) x))
(pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (/.f64 y z))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 y z)))

simplify258.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
415×associate-*l*
399×associate-*r*
345×fma-define
255×times-frac
249×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062315166
1143514641
2635014637
Stop Event
1×node limit
Counts
437 → 419
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 x z)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x z)
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
(*.f64 x z)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) z)
(-.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) z)
(-.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) z)
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 z x))))
(-.f64 (*.f64 x z) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(*.f64 x y)
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
x
(/.f64 (*.f64 x y) z)
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(/.f64 (*.f64 x y) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
x
x
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(+.f64 (fma.f64 x y z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
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(/.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x (/.f64 y z) x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 x (/.f64 y z) x) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(fma.f64 (fma.f64 x (/.f64 y z) x) z z)
(fma.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 y z) x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) z)
(fma.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) z)
(-.f64 x (*.f64 x (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x)))
(*.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) x) (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y z)) x))
(pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (/.f64 y z))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 y z)))
Outputs
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (/.f64 z x)))
(*.f64 x (neg.f64 (-.f64 (/.f64 z x) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (/.f64 z x)))
(*.f64 x (neg.f64 (-.f64 (/.f64 z x) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (/.f64 z x)))
(*.f64 x (neg.f64 (-.f64 (/.f64 z x) y)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (/.f64 z y)))
(*.f64 y (neg.f64 (-.f64 (/.f64 z y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (/.f64 z y)))
(*.f64 y (neg.f64 (-.f64 (/.f64 z y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (/.f64 z y)))
(*.f64 y (neg.f64 (-.f64 (/.f64 z y) x)))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 x y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 x y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 x y (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) z))))
(*.f64 (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) z))))
(*.f64 (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) z))))
(*.f64 (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) z))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 z (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (*.f64 z x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
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(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x (/.f64 y z) x) z))
(*.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 x (/.f64 y z) x) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x) (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 1 binary64))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)) #s(literal 3 binary64))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)) #s(literal 2 binary64))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 2 binary64)))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(log.f64 (exp.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z))))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z) #s(literal 3 binary64)))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) x) z)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(fma.f64 (fma.f64 x (/.f64 y z) x) z z)
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(fma.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 y z) x)) z)
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) z)
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(fma.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) x))) z)
(fma.f64 z (fma.f64 x (/.f64 y z) x) z)
(-.f64 x (*.f64 x (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x)))
(*.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x)))
(/.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 y z)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 y z) x) (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x)))
(/.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x))
(/.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y z)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x (/.f64 y z) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (/.f64 y z))))
(log.f64 (exp.f64 (-.f64 x (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)

eval61.0ms (1.1%)

Compiler

Compiled 6488 to 1310 computations (79.8% saved)

prune335.0ms (5.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4583461
Fresh000
Picked044
Done011
Total4588466
Accuracy
100.0%
Counts
466 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓88.8%
(-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)
✓100.0%
(-.f64 (*.f64 x (+.f64 z y)) z)
✓64.9%
(-.f64 (*.f64 x z) z)
✓77.9%
(-.f64 (*.f64 x y) z)
▶26.9%
(*.f64 z x)
▶39.7%
(*.f64 x y)
✓40.7%
(neg.f64 z)
▶2.3%
z
Compiler

Compiled 61 to 39 computations (36.1% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 x y)
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
11346
Stop Event
1×saturated
Calls
Call 1
Inputs
z
(*.f64 x y)
x
y
(*.f64 z x)
z
x
Outputs
z
(*.f64 x y)
x
y
(*.f64 z x)
z
x

localize22.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 x y)
Results
17.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (88.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 z x)>
Outputs
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
Calls

6 calls:

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

rewrite61.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify76.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
080877
1160859
2460845
32198845
44680845
Stop Event
1×node limit
Counts
49 → 35
Calls
Call 1
Inputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z x))
(log.f64 (pow.f64 (exp.f64 z) x))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
Outputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64))
(*.f64 x z)
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 x z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 2 binary64) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(*.f64 x z)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x z)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x z #s(literal 1 binary64)) (fma.f64 x z #s(literal 1 binary64)) (+.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x z #s(literal 1 binary64)) (fma.f64 x z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 x z)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 x z)
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(*.f64 x z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 x z)
(fabs.f64 (*.f64 z x))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 x z)
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(*.f64 x z)

eval10.0ms (0.2%)

Compiler

Compiled 537 to 164 computations (69.5% saved)

prune13.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New56056
Fresh000
Picked033
Done055
Total56864
Accuracy
100.0%
Counts
64 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓88.8%
(-.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z))) z)
✓100.0%
(-.f64 (*.f64 x (+.f64 z y)) z)
✓64.9%
(-.f64 (*.f64 x z) z)
✓77.9%
(-.f64 (*.f64 x y) z)
✓26.9%
(*.f64 z x)
✓39.7%
(*.f64 x y)
✓40.7%
(neg.f64 z)
✓2.3%
z
Compiler

Compiled 118 to 62 computations (47.5% saved)

regimes18.0ms (0.3%)

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

4 calls:

6.0ms
y
4.0ms
z
4.0ms
x
4.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.3%)

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

3 calls:

8.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
86.5%5x
88.2%3y
87.9%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

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

3 calls:

3.0ms
z
3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
86.5%5x
77.9%1z
77.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes197.0ms (3.4%)

Counts
4 → 6
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
Outputs
(*.f64 x y)
(*.f64 z x)
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x y)
Calls

3 calls:

192.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
59.4%4z
61.9%4y
73.7%6x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
65.6%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
z
(neg.f64 z)
Outputs
(neg.f64 z)
Calls

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
40.7%1z
40.7%1y
40.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

3.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
2.3%1x
2.3%1y
2.3%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
356567595.85032487
162774645134.32837
10.0ms
-1.9801648975487385e-52
-2.8953481300025834e-54
Results
16.0ms240×0valid
Compiler

Compiled 288 to 193 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (67.8% of total)
ival-sub: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (1.1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.298763980455617e+242
1.3328510962038992e+256
11.0ms
5.233556626403004e+52
2.3566551923886216e+57
17.0ms
-6.826628920041648e+21
-2080557133728.7383
13.0ms
-2.2289349514685346e+155
-3.5146099163911007e+149
Results
35.0ms576×0valid
Compiler

Compiled 574 to 399 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (57.6% of total)
ival-sub: 3.0ms (19.2% of total)
ival-add: 3.0ms (19.2% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch229.0ms (4%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
167.0ms
6.298763980455617e+242
1.3328510962038992e+256
12.0ms
5.233556626403004e+52
2.3566551923886216e+57
18.0ms
1.4037947424232696e-93
2.7696307815759795e-82
10.0ms
-27.309851715115244
-0.19618696778043793
17.0ms
-2.2289349514685346e+155
-3.5146099163911007e+149
Results
198.0ms704×0valid
Compiler

Compiled 617 to 453 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-sub: 157.0ms (88.9% of total)
ival-mult: 15.0ms (8.5% of total)
ival-add: 3.0ms (1.7% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.4037947424232696e-93
2.7696307815759795e-82
12.0ms
-2.1245906073165898e-23
-5.1330807469244135e-28
Results
24.0ms288×0valid
Compiler

Compiled 252 to 193 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (61.8% of total)
ival-sub: 2.0ms (24.7% of total)
ival-add: 1.0ms (12.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×if-if-or-not
5×+-commutative
4×sub-neg
4×*-commutative
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061428
183428
288428
389428
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(if (<=.f64 y #s(literal -6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 380000000 binary64)) (-.f64 (*.f64 x z) z) (-.f64 (*.f64 x y) z)))
(if (<=.f64 x #s(literal -520000000000000014747026635718069065775031875487919940431211964648946107916579635289410895535964392111100795606372751895020591425278419793257809601101824 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 x #s(literal -380000000000000000 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1549999999999999968224822512701869397054735120527785984 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 x #s(literal 219999999999999992577419069031771769615358135422565245847133898874663388855998435427896528310329863688049826287936590011350381747358777455752299952895472520963573635439164583823542496975747517066790001416454258756528400721988711393088966021106106368 binary64)) (*.f64 z x) (*.f64 x y)))))
(if (<=.f64 x #s(literal -719999999999999977479564552607627018620760715445775118781942335063135357408766189575263296042904149498852874826483937188058004003275915640312809387982848 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -1 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1067993517960455/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 1449999999999999926367431780148398666486738347362353152 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 719999999999999954178268995192666077022650927585045296668439732081787252019794943520323863610260225614634533147877209856770847819902632173551602893478240400333083818595929176905278095493087875897475902122287746855975388997153579569364093817971530035888128 binary64)) (*.f64 z x) (*.f64 x y))))))
(if (<=.f64 x #s(literal -6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2306865998794583/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) (neg.f64 z) (*.f64 x y)))
(neg.f64 z)
z
Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(if (<=.f64 y #s(literal -6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 380000000 binary64)) (-.f64 (*.f64 x z) z) (-.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (not (<=.f64 y #s(literal 380000000 binary64)))) (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x z) z))
(if (<=.f64 x #s(literal -520000000000000014747026635718069065775031875487919940431211964648946107916579635289410895535964392111100795606372751895020591425278419793257809601101824 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 x #s(literal -380000000000000000 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1549999999999999968224822512701869397054735120527785984 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 x #s(literal 219999999999999992577419069031771769615358135422565245847133898874663388855998435427896528310329863688049826287936590011350381747358777455752299952895472520963573635439164583823542496975747517066790001416454258756528400721988711393088966021106106368 binary64)) (*.f64 z x) (*.f64 x y)))))
(if (<=.f64 x #s(literal -520000000000000014747026635718069065775031875487919940431211964648946107916579635289410895535964392111100795606372751895020591425278419793257809601101824 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 x #s(literal -380000000000000000 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1549999999999999968224822512701869397054735120527785984 binary64)) (-.f64 (*.f64 x y) z) (if (<=.f64 x #s(literal 219999999999999992577419069031771769615358135422565245847133898874663388855998435427896528310329863688049826287936590011350381747358777455752299952895472520963573635439164583823542496975747517066790001416454258756528400721988711393088966021106106368 binary64)) (*.f64 x z) (*.f64 x y)))))
(if (<=.f64 x #s(literal -719999999999999977479564552607627018620760715445775118781942335063135357408766189575263296042904149498852874826483937188058004003275915640312809387982848 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -1 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1067993517960455/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 1449999999999999926367431780148398666486738347362353152 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 719999999999999954178268995192666077022650927585045296668439732081787252019794943520323863610260225614634533147877209856770847819902632173551602893478240400333083818595929176905278095493087875897475902122287746855975388997153579569364093817971530035888128 binary64)) (*.f64 z x) (*.f64 x y))))))
(if (<=.f64 x #s(literal -719999999999999977479564552607627018620760715445775118781942335063135357408766189575263296042904149498852874826483937188058004003275915640312809387982848 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -1 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1067993517960455/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (neg.f64 z) (if (or (<=.f64 x #s(literal 1449999999999999926367431780148398666486738347362353152 binary64)) (not (<=.f64 x #s(literal 719999999999999954178268995192666077022650927585045296668439732081787252019794943520323863610260225614634533147877209856770847819902632173551602893478240400333083818595929176905278095493087875897475902122287746855975388997153579569364093817971530035888128 binary64)))) (*.f64 x y) (*.f64 x z)))))
(if (<=.f64 x #s(literal -6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2306865998794583/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) (neg.f64 z) (*.f64 x y)))
(if (or (<=.f64 x #s(literal -6620533730813779/174224571863520493293247799005065324265472 binary64)) (not (<=.f64 x #s(literal 2306865998794583/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)))) (*.f64 x y) (neg.f64 z))
(neg.f64 z)
z

soundness947.0ms (16.5%)

Rules
1071×fma-neg
1023×log1p-expm1-u
771×expm1-log1p-u
570×fma-define
415×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019207
1303179
24991179
069414483
1161414041
2471714008
062315166
1143514641
2635014637
040399
1100391
2228381
3636353
41606329
53164329
63531329
73594329
83602329
93602329
104062329
114062329
Stop Event
1×done
1×saturated
1×node limit
1×node limit
1×node limit
Compiler

Compiled 284 to 122 computations (57% saved)

preprocess51.0ms (0.9%)

Compiler

Compiled 256 to 122 computations (52.3% saved)

end0.0ms (0%)

Profiling

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