Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

Time bar (total: 3.2s)

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 11 to 8 computations (27.3% saved)

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

sample654.0ms (20.8%)

Results
431.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-mult: 148.0ms (71.9% of total)
ival-sub: 44.0ms (21.4% of total)
const: 11.0ms (5.3% of total)
backward-pass: 3.0ms (1.5% of total)
Bogosity

preprocess97.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
360×fma-define
206×fma-neg
92×cancel-sign-sub-inv
89×associate-*r*
85×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 y (*.f64 x (*.f64 #s(literal 4 binary64) z)))
(+.f64 y (*.f64 z (*.f64 x #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 z (*.f64 x (*.f64 y #s(literal 4 binary64))))
(+.f64 z (*.f64 x (*.f64 y #s(literal -4 binary64))))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Symmetry

(sort y z)

explain64.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Results
40.0ms512×0valid
Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (70.2% of total)
ival-sub: 3.0ms (26.3% of total)
const: 1.0ms (8.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
▶100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize75.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z #s(literal -4 binary64))
✓cost-diff0
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓cost-diff-6272
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
✓cost-diff0
(*.f64 y #s(literal 4 binary64))
✓cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
✓accuracy100.0%
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓accuracy100.0%
(*.f64 z #s(literal -4 binary64))
✓accuracy100.0%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
✓accuracy100.0%
(*.f64 y #s(literal 4 binary64))
✓accuracy100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Rules
282×fma-define
110×fma-neg
45×cancel-sign-sub-inv
43×distribute-lft-neg-in
27×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017121
130113
261113
3119113
4170113
5231113
6325113
7402113
8525113
9737113
10823113
11835113
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x
Results
29.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (48.6% of total)
ival-fma: 3.0ms (29.2% of total)
ival-sub: 1.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.5%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (*.f64 (*.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 z #s(literal -4 binary64))>
#<alt (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)>
Outputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(- x (* (* y 4) z))
1.0ms
y
@0
(* (* y 4) z)
1.0ms
x
@0
(- x (* (* y 4) z))
1.0ms
y
@0
(- x (* (* y 4) z))
0.0ms
y
@inf
(- x (* (* y 4) z))

rewrite408.0ms (12.9%)

Algorithm
1×batch-egg-rewrite
Rules
940×prod-diff
818×log1p-expm1-u
818×expm1-log1p-u
262×fma-define
146×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01795
118687
2251487
Stop Event
1×node limit
Counts
5 → 313
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y #s(literal 4 binary64))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 z #s(literal -4 binary64))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Outputs
(+.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
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(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 1 binary64)))

simplify249.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
452×distribute-lft-neg-in
419×fma-neg
403×distribute-rgt-neg-in
280×associate-*r*
258×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051512090
1129911838
2360011826
Stop Event
1×node limit
Counts
433 → 248
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) z)
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(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
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(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(+.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) (*.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x))
(pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(log.f64 (exp.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(exp.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)

eval28.0ms (0.9%)

Compiler

Compiled 5119 to 612 computations (88% saved)

prune90.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2453248
Fresh000
Picked112
Done000
Total2464250
Accuracy
100.0%
Counts
250 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
▶89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
▶52.6%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
▶49.2%
x
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize301.0ms (9.5%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
✓cost-diff-6144
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
✓cost-diff0
(*.f64 #s(literal 4 binary64) y)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(*.f64 #s(literal -4 binary64) z)
✓cost-diff0
(*.f64 y (*.f64 #s(literal -4 binary64) z))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) y)
✓accuracy89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
✓accuracy100.0%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) z)
Rules
1591×fma-define
693×associate-/l/
686×fma-neg
307×associate-/r*
251×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
017143
129143
249135
389135
4155132
5225126
6375126
7599126
81536126
92973126
103722126
114132126
124327126
134389126
144705126
155785126
166744126
177454126
187712126
197828126
Stop Event
1×node limit
Calls
Call 1
Inputs
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
z
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
(/.f64 x z)
x
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
Outputs
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (+.f64 (/.f64 x z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64))))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
z
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
(+.f64 (/.f64 x z) (*.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 y #s(literal -4 binary64) (/.f64 x z))
(/.f64 x z)
x
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
y
Results
28.0ms256×0valid
Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.8% of total)
ival-div: 2.0ms (17.6% of total)
ival-sub: 1.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.4%)

Counts
6 → 87
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 y (*.f64 #s(literal -4 binary64) z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))>
#<alt (/.f64 x z)>
Outputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* z (- (/ x z) (* 4 y)))
1.0ms
z
@-inf
(* z (- (/ x z) (* 4 y)))
1.0ms
z
@0
(* z (- (/ x z) (* 4 y)))
0.0ms
x
@0
(* z (- (/ x z) (* 4 y)))
0.0ms
x
@-inf
(* z (- (/ x z) (* 4 y)))

rewrite369.0ms (11.7%)

Algorithm
1×batch-egg-rewrite
Rules
659×log1p-expm1-u
659×expm1-log1p-u
600×log-prod
287×fma-define
194×pow-to-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017117
1210117
22903109
Stop Event
1×node limit
Counts
6 → 263
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) y)
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
(/.f64 x z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) z)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) z) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) z) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)))
(pow.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))) #s(literal 2 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(fma.f64 (/.f64 x z) z (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 x z) (*.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 x z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(+.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(+.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 4 binary64) (/.f64 x z))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 y #s(literal 4 binary64) (/.f64 x z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -4 binary64) y)) (*.f64 (/.f64 x z) (*.f64 #s(literal -4 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -4 binary64) y))) (-.f64 (/.f64 x z) (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (exp.f64 (*.f64 #s(literal -4 binary64) y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)) (exp.f64 (/.f64 x z))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -4 binary64) y)) (exp.f64 (/.f64 x z))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -4 binary64) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (/.f64 (exp.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)))
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(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))

simplify174.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
905×times-frac
235×cancel-sign-sub-inv
227×associate-+r+
225×distribute-lft-neg-in
222×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057310961
1119610551
2334010283
Stop Event
1×node limit
Counts
350 → 343
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
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(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
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(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(/.f64 x z)
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
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(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
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(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) z) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)))
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(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) #s(literal 2 binary64))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) (cbrt.f64 (exp.f64 (/.f64 x z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (/.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
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(/.f64 x z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) (cbrt.f64 (exp.f64 (/.f64 x z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(/.f64 x z)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(*.f64 (/.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 x z)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 x z)
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(/.f64 x z)
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(/.f64 x z)
(log.f64 (exp.f64 (/.f64 x z)))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(/.f64 x z)
(expm1.f64 (log1p.f64 (/.f64 x z)))
(/.f64 x z)
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(/.f64 x z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(/.f64 x z)

eval42.0ms (1.3%)

Compiler

Compiled 5358 to 1018 computations (81% saved)

prune47.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3430343
Fresh000
Picked033
Done011
Total3434347
Accuracy
100.0%
Counts
347 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
✓89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
✓52.6%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
✓49.2%
x
Compiler

Compiled 65 to 40 computations (38.5% saved)

regimes23.0ms (0.7%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Calls

6 calls:

7.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes17.0ms (0.5%)

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

6 calls:

6.0ms
z
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
x
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Outputs
(*.f64 y (*.f64 #s(literal -4 binary64) z))
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
72.5%3x
76.6%3y
72.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
49.2%1x
49.2%1z
49.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
4.054364268745998e-153
1.3825306508389975e-137
12.0ms
-5.119311364673889e+55
-1.0641630999760361e+54
Results
16.0ms272×0valid
Compiler

Compiled 254 to 199 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (68.5% of total)
ival-sub: 1.0ms (17.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
9×*-commutative
6×sub-neg
6×+-commutative
5×neg-sub0
5×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
143110
261110
371110
479110
582110
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 y #s(literal -2800000000000000151159839748681790065780087353327484928 binary64)) (*.f64 y (*.f64 #s(literal -4 binary64) z)) (if (<=.f64 y #s(literal 1843573590367107/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) x (*.f64 y (*.f64 #s(literal -4 binary64) z))))
x
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 z (*.f64 y #s(literal 4 binary64))))
(if (<=.f64 y #s(literal -2800000000000000151159839748681790065780087353327484928 binary64)) (*.f64 y (*.f64 #s(literal -4 binary64) z)) (if (<=.f64 y #s(literal 1843573590367107/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) x (*.f64 y (*.f64 #s(literal -4 binary64) z))))
(if (or (<=.f64 y #s(literal -2800000000000000151159839748681790065780087353327484928 binary64)) (not (<=.f64 y #s(literal 1843573590367107/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)))) (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
x

soundness408.0ms (12.9%)

Rules
452×distribute-lft-neg-in
419×fma-neg
403×distribute-rgt-neg-in
360×fma-define
280×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
051512090
1129911838
2360011826
Stop Event
1×done
1×node limit
1×saturated
Compiler

Compiled 133 to 61 computations (54.1% saved)

preprocess35.0ms (1.1%)

Remove

(sort y z)

Compiler

Compiled 156 to 98 computations (37.2% saved)

end0.0ms (0%)

Profiling

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