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

Time bar (total: 2.9s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample553.0ms (19.1%)

Memory
42.0MiB live, 820.2MiB allocated
Samples
356.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 116.0ms (68.3% of total)
ival-sub: 44.0ms (25.9% of total)
ival-true: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.8% of total)
...in/eval/compile.rkt:104:19: 2.0ms (1.2% of total)
Bogosity

preprocess196.0ms (6.8%)

Memory
-17.6MiB live, 109.0MiB allocated
Algorithm
egg-herbie
Rules
360×fma-define
206×fmm-def
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
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)
(fma.f64 z (*.f64 y #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)
(fma.f64 z (*.f64 y #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)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
Symmetry

(sort y z)

explain66.0ms (2.3%)

Memory
10.5MiB live, 130.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (72.4% of total)
ival-sub: 2.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Compiler

Compiled 29 to 14 computations (51.7% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 z (*.f64 y #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)

simplify31.0ms (1.1%)

Memory
-21.5MiB live, 17.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -4 binary64))
cost-diff0
(fma.f64 z (*.f64 y #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)
Rules
281×fma-define
110×fmm-def
45×cancel-sign-sub-inv
43×distribute-lft-neg-in
27×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017121
130113
260113
3117113
4168113
5229113
6323113
7400113
8523113
9735113
10821113
11833113
Stop Event
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 z (*.f64 y #s(literal -4 binary64)) x)
z
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
x
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
z
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
x

localize33.0ms (1.1%)

Memory
13.7MiB live, 52.5MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
accuracy100.0%
(*.f64 y #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))
Samples
23.0ms256×0valid
Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (79.7% of total)
ival-sub: 1.0ms (7.2% of total)
ival-add: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.4%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)>
#<alt (*.f64 y #s(literal -4 binary64))>
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 (*.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 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 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 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) (*.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 (*.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)>
Calls

30 calls:

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

rewrite294.0ms (10.1%)

Memory
-14.9MiB live, 346.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
687×log1p-expm1-u
687×expm1-log1p-u
398×log-prod
268×pow-prod-down
230×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01795
118687
2262087
Stop Event
node limit
Counts
5 → 248
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(*.f64 y #s(literal -4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 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 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 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 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(*.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 (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) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.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 (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 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.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 x x (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) (neg.f64 x)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) z x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 z (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64) (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))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (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))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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))))
(fma.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)) x)
(fma.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))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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))))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.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)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
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(fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 #s(literal 4 binary64) z) y x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(fma.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)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.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)))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.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)))) (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))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
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(fma.f64 (*.f64 z y) #s(literal 4 binary64) x)
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(fma.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)
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(fma.f64 (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 y (*.f64 #s(literal 4 binary64) z) 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 (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 (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) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.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 (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 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.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 x x (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) (neg.f64 x)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 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 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 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 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify187.0ms (6.5%)

Memory
14.8MiB live, 171.9MiB allocated
Algorithm
egg-herbie
Rules
591×associate-/l*
369×*-commutative
360×distribute-lft-in
335×distribute-rgt-in
269×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038610485
183510105
225139873
Stop Event
node limit
Counts
368 → 227
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))
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(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) (neg.f64 x)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 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 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 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 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.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) 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 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z 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 #s(literal -4 binary64) (*.f64 y (/.f64 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 #s(literal -4 binary64) (*.f64 y (/.f64 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 #s(literal -4 binary64) (*.f64 y (/.f64 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 y (/.f64 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 y (/.f64 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 y (/.f64 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 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(*.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 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 (fma.f64 z #s(literal -4 binary64) (/.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 (fma.f64 z #s(literal -4 binary64) (/.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 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.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 -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 y (fma.f64 z #s(literal -4 binary64) (/.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 y (fma.f64 z #s(literal -4 binary64) (/.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 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(*.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 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 (fma.f64 y #s(literal -4 binary64) (/.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 (fma.f64 y #s(literal -4 binary64) (/.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 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.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 -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 z (fma.f64 y #s(literal -4 binary64) (/.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 z (fma.f64 y #s(literal -4 binary64) (/.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 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(*.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 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 (fma.f64 y #s(literal -4 binary64) (/.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 (fma.f64 y #s(literal -4 binary64) (/.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 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.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 -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 z (fma.f64 y #s(literal -4 binary64) (/.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 z (fma.f64 y #s(literal -4 binary64) (/.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 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
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(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(pow.f64 (/.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)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y 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 3 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y 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 3 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 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 y (*.f64 #s(literal 4 binary64) z) 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 y (*.f64 #s(literal 4 binary64) z) 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 y (*.f64 #s(literal 4 binary64) z) x))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))
(log.f64 (exp.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) z x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))
(log.f64 (exp.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) z x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))
(log.f64 (exp.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) z x)))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(hypot.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 y (*.f64 #s(literal 4 binary64) z) 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 y (*.f64 #s(literal 4 binary64) z) 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)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal -4 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) y))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal -4 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) y))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) y)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64))))))
(*.f64 y #s(literal -4 binary64))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) y)

eval32.0ms (1.1%)

Memory
-23.2MiB live, 55.1MiB allocated
Compiler

Compiled 3 339 to 569 computations (83% saved)

prune33.0ms (1.1%)

Memory
-4.7MiB live, 72.3MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2243227
Fresh000
Picked022
Done000
Total2245229
Accuracy
100.0%
Counts
229 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
51.4%
(*.f64 (*.f64 y z) #s(literal -4 binary64))
88.3%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
51.4%
x
Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify273.0ms (9.4%)

Memory
6.1MiB live, 48.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(literal -4 binary64))
cost-diff-6272
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
cost-diff-6144
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
cost-diff0
(*.f64 #s(literal 4 binary64) z)
cost-diff0
(/.f64 x y)
Rules
1 591×fma-define
693×associate-/l/
686×fmm-def
307×associate-/r*
251×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
017146
129146
249138
389138
4155135
5227129
6377129
7600129
81549129
93000129
103756129
114170129
124365129
134427129
144743129
155823129
166781129
177491129
187749129
197865129
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
y
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(/.f64 x y)
x
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y z)
y
z
#s(literal -4 binary64)
Outputs
x
(*.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 z #s(literal -4 binary64))))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
y
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(+.f64 (/.f64 x y) (*.f64 #s(literal -4 binary64) z))
(+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))
(fma.f64 z #s(literal -4 binary64) (/.f64 x y))
(/.f64 x y)
x
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 y z)
y
z
#s(literal -4 binary64)

localize30.0ms (1%)

Memory
17.5MiB live, 56.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 (*.f64 y z) #s(literal -4 binary64))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
accuracy100.0%
(*.f64 #s(literal 4 binary64) z)
accuracy88.3%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
Samples
20.0ms256×0valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.6% of total)
ival-div: 2.0ms (18.7% of total)
ival-sub: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series172.0ms (5.9%)

Memory
-23.3MiB live, 15.3MiB allocated
Counts
6 → 87
Calls
Call 1
Inputs
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))>
#<alt (*.f64 (*.f64 y z) #s(literal -4 binary64))>
#<alt (*.f64 y z)>
Outputs
#<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) (*.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 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) z)>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (/.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.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) (*.f64 y z))>
Calls

39 calls:

TimeVariablePointExpression
160.0ms
z
@-inf
(- (/ x y) (* 4 z))
2.0ms
y
@inf
(* y (- (/ x y) (* 4 z)))
1.0ms
x
@inf
(/ x y)
0.0ms
y
@-inf
(* y (- (/ x y) (* 4 z)))
0.0ms
x
@-inf
(* y (- (/ x y) (* 4 z)))

rewrite157.0ms (5.4%)

Memory
-26.9MiB live, 117.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
659×log1p-expm1-u
659×expm1-log1p-u
599×log-prod
290×fma-define
194×pow-to-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017120
1210120
22902112
Stop Event
node limit
Counts
6 → 263
Calls
Call 1
Inputs
(/.f64 x y)
(*.f64 #s(literal 4 binary64) z)
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y z)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(-.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 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 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 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 x y) y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))) #s(literal 2 binary64)))
(fma.f64 y (/.f64 x y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 (/.f64 x y) y (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))
(+.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal 4 binary64) z)))
(+.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) (fma.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z)))
(+.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) z)))
(+.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 x y))
(+.f64 #s(literal 0 binary64) (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))) (cbrt.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))))
(*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 z #s(literal -4 binary64))) (*.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 z #s(literal -4 binary64)))) (-.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))
(pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 x y))) #s(literal 3 binary64))
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(log.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
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(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))

simplify152.0ms (5.2%)

Memory
24.1MiB live, 180.2MiB allocated
Algorithm
egg-herbie
Rules
928×times-frac
616×distribute-lft-in
242×cancel-sign-sub-inv
236×distribute-lft-neg-in
233×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057311050
1118910660
2335610582
Stop Event
node limit
Counts
350 → 358
Calls
Call 1
Inputs
x
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(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (fma.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) (/.f64 x y))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 x y))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
Outputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) 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 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.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 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.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)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) 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 y (*.f64 #s(literal -4 binary64) 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 y (*.f64 #s(literal -4 binary64) 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 y (*.f64 #s(literal -4 binary64) 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 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (*.f64 z (/.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (*.f64 z (/.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (*.f64 z (/.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) 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))
(*.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) z)
(/.f64 x y)
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)
(/.f64 (+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z))) y)
(/.f64 (fma.f64 y (*.f64 #s(literal -4 binary64) z) x) y)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)
(/.f64 (+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z))) y)
(/.f64 (fma.f64 y (*.f64 #s(literal -4 binary64) z) x) y)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)
(/.f64 (+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z))) y)
(/.f64 (fma.f64 y (*.f64 #s(literal -4 binary64) z) x) y)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(/.f64 x y)
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
(fma.f64 #s(literal -4 binary64) z (/.f64 x y))
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
(fma.f64 #s(literal -4 binary64) z (/.f64 x y))
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
(fma.f64 #s(literal -4 binary64) z (/.f64 x y))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 z (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 z (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 z (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 z (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 z (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 z (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 z (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 z (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 z (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 z (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 z (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
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(fabs.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 z) y))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 y z)

eval44.0ms (1.5%)

Memory
12.0MiB live, 86.3MiB allocated
Compiler

Compiled 5 635 to 1 069 computations (81% saved)

prune161.0ms (5.6%)

Memory
-23.5MiB live, 95.0MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3580358
Fresh000
Picked033
Done022
Total3585363
Accuracy
100.0%
Counts
363 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
51.4%
(*.f64 (*.f64 y z) #s(literal -4 binary64))
88.3%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
51.4%
x
Compiler

Compiled 74 to 46 computations (37.8% saved)

regimes15.0ms (0.5%)

Memory
26.4MiB live, 26.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
Outputs
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
Calls

6 calls:

2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
y
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
z
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)

regimes15.0ms (0.5%)

Memory
-15.0MiB live, 24.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Calls

6 calls:

4.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
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)

regimes5.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 (*.f64 y z) #s(literal -4 binary64))
Outputs
x
(*.f64 (*.f64 y z) #s(literal -4 binary64))
x
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
76.8%3x
73.4%3y
72.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
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
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
51.4%1z
51.4%1y
51.4%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.6%)

Memory
-24.8MiB live, 16.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
8.392944483352306e-121
1.285403967610923e-120
12.0ms
-1.6540264924478157e-16
-6.84442213191418e-18
Samples
7.0ms176×0valid
Compiler

Compiled 167 to 134 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.4% of total)
ival-sub: 1.0ms (30.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify4.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative
sub-neg
+-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028107
144107
262107
372107
480107
583107
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 x #s(literal -7463926734143815/324518553658426726783156020576256 binary64)) x (if (<=.f64 x #s(literal 7093945949125123/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (*.f64 (*.f64 y z) #s(literal -4 binary64)) x))
x
Outputs
(fma.f64 z (*.f64 y #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 x #s(literal -7463926734143815/324518553658426726783156020576256 binary64)) x (if (<=.f64 x #s(literal 7093945949125123/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (*.f64 (*.f64 y z) #s(literal -4 binary64)) x))
(if (<=.f64 x #s(literal -7463926734143815/324518553658426726783156020576256 binary64)) x (if (<=.f64 x #s(literal 7093945949125123/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z y)) x))
x

soundness341.0ms (11.8%)

Memory
-6.5MiB live, 230.1MiB allocated
Rules
591×associate-/l*
369×*-commutative
360×distribute-lft-in
360×fma-define
335×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
038610485
183510105
225139873
Stop Event
done
node limit
saturated
Compiler

Compiled 123 to 52 computations (57.7% saved)

preprocess71.0ms (2.4%)

Memory
30.9MiB live, 70.0MiB allocated
Remove

(sort y z)

Compiler

Compiled 156 to 98 computations (37.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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