Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

Time bar (total: 7.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 9 computations (30.8% saved)

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

sample1.0s (13.4%)

Results
747.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 264.0ms
ival-mult: 152.0ms (57.7% of total)
ival-sub: 52.0ms (19.7% of total)
ival-add: 46.0ms (17.5% of total)
const: 11.0ms (4.2% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess203.0ms (2.7%)

Algorithm
egg-herbie
Rules
1182×fma-neg
303×fma-define
196×distribute-rgt-in
196×unsub-neg
132×sub-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
040399
1100387
2237379
3683351
41709339
52871337
63249337
73289337
83293337
93293317
103936317
113936317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z)))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))))
(+.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z))
(fma.f64 (neg.f64 x) y (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(+.f64 z (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x (neg.f64 y)))
(neg.f64 (fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64)))))
(-.f64 z (*.f64 x (+.f64 z y)))
(-.f64 z (*.f64 x (+.f64 y z)))
(fma.f64 x (-.f64 (neg.f64 y) z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (+.f64 y z) (neg.f64 z))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z)))
(neg.f64 (fma.f64 (neg.f64 x) y (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(-.f64 (*.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 z (-.f64 #s(literal -1 binary64) x) (*.f64 x y))
(neg.f64 (fma.f64 x (-.f64 z y) z))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (+.f64 y z) (neg.f64 z))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))))
(fma.f64 x (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x (neg.f64 y)))
(neg.f64 (fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64)))))
(-.f64 z (*.f64 x (+.f64 z y)))
(-.f64 z (*.f64 x (+.f64 y z)))
(fma.f64 x (-.f64 (neg.f64 y) z) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 y x (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(-.f64 z (*.f64 y (-.f64 z x)))
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 z y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 y z))
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)

explain339.0ms (4.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
00-0-(*.f64 x y)
00-0-x
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) z)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-y
Results
183.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (55.7% of total)
ival-sub: 3.0ms (20.9% of total)
ival-add: 2.0ms (13.9% of total)
const: 1.0ms (7% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 39 to 16 computations (59% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
98.4%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize193.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff128
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
cost-diff-6272
(-.f64 z (*.f64 x (-.f64 z y)))
cost-diff0
(-.f64 z y)
cost-diff0
(*.f64 x (-.f64 z y))
cost-diff-6144
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff0
(*.f64 x y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x y)
accuracy99.6%
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
accuracy100.0%
(*.f64 x (-.f64 z y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy98.7%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Rules
346×fma-define
333×fma-define
303×fma-neg
298×fma-neg
250×fma-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01488
12788
24088
36788
413684
522882
635882
757282
897782
9116582
10122482
11123482
01278
12178
24878
314274
430374
555074
685974
7113874
8124674
9125474
01469
12569
23169
34869
49669
520963
631463
748363
881563
9109763
10129163
11132363
12132663
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
(*.f64 x y)
y
Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (-.f64 y z) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
(*.f64 x y)
y
Call 2
Inputs
(-.f64 z (*.f64 x (-.f64 z y)))
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
y
Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 y z) z)
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
y
Call 3
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (fma.f64 z #s(literal -1 binary64) y) z)
(fma.f64 x (-.f64 y z) z)
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z
Results
40.0ms256×0valid
Compiler

Compiled 64 to 13 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42.3% of total)
ival-sub: 4.0ms (28.2% of total)
ival-fma: 3.0ms (21.1% of total)
ival-add: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series105.0ms (1.4%)

Counts
8 → 189
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) z)>
#<alt (*.f64 x y)>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (-.f64 z y))>
#<alt (-.f64 z (*.f64 x (-.f64 z y)))>
#<alt (-.f64 z y)>
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))>
Outputs
#<alt z>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 x y)>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))>
#<alt (-.f64 z (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
Calls

57 calls:

TimeVariablePointExpression
6.0ms
z
@inf
(* (- 1 x) z)
1.0ms
z
@inf
(- z y)
1.0ms
x
@inf
(+ (* x y) (* (- 1 x) z))
1.0ms
y
@0
(+ (* x y) (* (- 1 x) z))
1.0ms
z
@-inf
(+ (* x y) (* (- 1 x) z))

rewrite292.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
913×log1p-expm1-u
913×expm1-log1p-u
733×fma-define
303×fma-neg
124×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019174
1279174
23852174
Stop Event
node limit
Counts
8 → 368
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(*.f64 x y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 z y))
(-.f64 z (*.f64 x (-.f64 z y)))
(-.f64 z y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(*.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) 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)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 x y))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (-.f64 #s(literal 1 binary64) x)) (*.f64 x y))
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(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) z)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z)
(fma.f64 #s(literal -1 binary64) y z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64)))

simplify224.0ms (3%)

Algorithm
egg-herbie
Rules
552×fma-neg
507×distribute-lft-neg-in
432×distribute-rgt-neg-in
269×sub-neg
267×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070818756
1165617405
2493117370
Stop Event
node limit
Counts
557 → 443
Calls
Call 1
Inputs
z
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z
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#s(literal 1 binary64)
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(*.f64 #s(literal -1 binary64) y)
z
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z
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z
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(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (*.f64 (-.f64 z y) (neg.f64 x)) #s(literal 1 binary64) (*.f64 x (-.f64 z y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (neg.f64 x) (-.f64 z y) (*.f64 x (-.f64 z y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(fma.f64 (neg.f64 (-.f64 z y)) x z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 z y))) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 z y) (neg.f64 x))) (cbrt.f64 (*.f64 (-.f64 z y) (neg.f64 x)))) (cbrt.f64 (*.f64 (-.f64 z y) (neg.f64 x))) z)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z y) (neg.f64 x))) (sqrt.f64 (*.f64 (-.f64 z y) (neg.f64 x))) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 (-.f64 z y)) x (*.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (fma.f64 (*.f64 (-.f64 z y) (neg.f64 x)) #s(literal 1 binary64) (*.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 x) (-.f64 z y) (*.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 z y))) z)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 z y) z)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z y)) z)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)) z)
(+.f64 z (neg.f64 y))
(+.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) z)
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)))
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 z (neg.f64 y)))
(pow.f64 (-.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z y))))
(cbrt.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 z y)))
(log1p.f64 (expm1.f64 (-.f64 z y)))
(exp.f64 (log.f64 (-.f64 z y)))
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 z y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) z)
(fma.f64 z #s(literal 1 binary64) (neg.f64 y))
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 z y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 z y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 z y) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) z)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) z)
(fma.f64 #s(literal -1 binary64) y z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(*.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) 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)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64)))
Outputs
z
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
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(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 3 binary64))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(expm1.f64 (log1p.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 x y))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)

eval139.0ms (1.9%)

Compiler

Compiled 7723 to 1244 computations (83.9% saved)

prune490.0ms (6.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4957502
Fresh000
Picked123
Done000
Total4969505
Accuracy
100.0%
Counts
505 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(-.f64 z (*.f64 z (-.f64 x (*.f64 x (/.f64 y z)))))
60.7%
(-.f64 z (*.f64 z x))
100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
80.7%
(-.f64 z (*.f64 x (neg.f64 y)))
98.4%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
60.7%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
61.2%
(*.f64 x (-.f64 y z))
42.4%
(*.f64 x y)
40.7%
z
Compiler

Compiled 136 to 88 computations (35.3% saved)

localize362.0ms (4.9%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 z (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff0
(-.f64 x (*.f64 x (/.f64 y z)))
cost-diff256
(*.f64 z (-.f64 x (*.f64 x (/.f64 y z))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(*.f64 x (-.f64 y z))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 z (*.f64 z (-.f64 x (*.f64 x (/.f64 y z)))))
accuracy100.0%
(-.f64 x (*.f64 x (/.f64 y z)))
accuracy95.3%
(*.f64 x (/.f64 y z))
accuracy89.7%
(*.f64 z (-.f64 x (*.f64 x (/.f64 y z))))
Rules
1417×fma-neg
1325×fma-define
399×associate-/l*
237×associate-*r/
234×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014167
129167
270167
3239161
4851134
52917124
65204124
76065124
86559124
96722124
106846124
117294124
044
0821
1921
01147
11547
22647
34647
47747
511447
618647
730847
855047
968547
1075147
1175347
01038
11938
22938
35038
410138
514438
620938
729238
844738
949138
1052038
1152438
Stop Event
saturated
saturated
saturated
saturated
node limit
Calls
Call 1
Inputs
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Call 2
Inputs
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
Outputs
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
Call 3
Inputs
(*.f64 x y)
x
y
Outputs
(*.f64 x y)
x
y
Call 4
Inputs
z
Outputs
z
Call 5
Inputs
(-.f64 z (*.f64 z (-.f64 x (*.f64 x (/.f64 y z)))))
z
(*.f64 z (-.f64 x (*.f64 x (/.f64 y z))))
(-.f64 x (*.f64 x (/.f64 y z)))
x
(*.f64 x (/.f64 y z))
(/.f64 y z)
y
Outputs
(-.f64 z (*.f64 z (-.f64 x (*.f64 x (/.f64 y z)))))
(fma.f64 z (-.f64 (/.f64 (*.f64 x y) z) x) z)
(fma.f64 x (-.f64 (*.f64 y #s(literal 1 binary64)) z) z)
(fma.f64 x (-.f64 y z) z)
z
(*.f64 z (-.f64 x (*.f64 x (/.f64 y z))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1 binary64)) (*.f64 z x))
(*.f64 x (+.f64 z (neg.f64 y)))
(*.f64 x (-.f64 z y))
(-.f64 x (*.f64 x (/.f64 y z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(/.f64 y z)
y
Results
147.0ms256×0valid
Compiler

Compiled 70 to 15 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (55% of total)
ival-sub: 5.0ms (30.6% of total)
ival-div: 2.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (0.9%)

Counts
8 → 201
Calls
Call 1
Inputs
#<alt (*.f64 z (-.f64 x (*.f64 x (/.f64 y z))))>
#<alt (*.f64 x (/.f64 y z))>
#<alt (-.f64 x (*.f64 x (/.f64 y z)))>
#<alt (-.f64 z (*.f64 z (-.f64 x (*.f64 x (/.f64 y z)))))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (-.f64 y z)>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 y z)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (-.f64 (*.f64 x z) (*.f64 x y)) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) (*.f64 x y)) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) (*.f64 x y)) z)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 x y)>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))))))>
#<alt (-.f64 z (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
Calls

63 calls:

TimeVariablePointExpression
34.0ms
y
@0
(- z (* z (- x (* x (/ y z)))))
3.0ms
z
@inf
(* x (- y z))
1.0ms
x
@inf
(* z (- x (* x (/ y z))))
1.0ms
x
@-inf
(* z (- x (* x (/ y z))))
1.0ms
z
@0
(* z (- x (* x (/ y z))))

rewrite187.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1101×log1p-expm1-u
947×expm1-log1p-u
145×add-cube-cbrt
143×add-exp-log
142×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019209
1305197
24644197
Stop Event
node limit
Counts
8 → 236
Calls
Call 1
Inputs
(*.f64 z (-.f64 x (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(-.f64 x (*.f64 x (/.f64 y z)))
(-.f64 z (*.f64 z (-.f64 x (*.f64 x (/.f64 y z)))))
(*.f64 x (-.f64 y z))
(-.f64 y z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(/.f64 y z)
Outputs
(+.f64 (*.f64 z x) (*.f64 z (*.f64 x (neg.f64 (/.f64 y z)))))
(+.f64 (*.f64 x z) (*.f64 (*.f64 x (neg.f64 (/.f64 y z))) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) z) (fma.f64 x x (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) z) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(exp.f64 (log.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (neg.f64 (/.f64 y z))))
(+.f64 x (*.f64 (*.f64 x (neg.f64 (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 (/.f64 y z)) x (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 x) (/.f64 y z) (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (*.f64 x (neg.f64 (/.f64 y z))) #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) (sqrt.f64 (*.f64 x (/.f64 y z))) (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (neg.f64 (/.f64 y z))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 (/.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 y z))) (*.f64 x (neg.f64 (/.f64 y z)))) (*.f64 x (*.f64 x (neg.f64 (/.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (/.f64 y z))) (*.f64 x (neg.f64 (/.f64 y z))))) (-.f64 x (*.f64 x (neg.f64 (/.f64 y z)))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 (/.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 (/.f64 y z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 (/.f64 y z))))
(+.f64 z (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)))
(+.f64 z (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (fma.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) z (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (fma.f64 (neg.f64 z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)) #s(literal 1 binary64) (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 2 binary64)) (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (sqrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)) z)
(*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z))) (*.f64 z (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)))) (-.f64 z (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z))))
(pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(exp.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 z)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) x))
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 z y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 y y (*.f64 z (+.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y z))) #s(literal 1 binary64)))
(+.f64 y (neg.f64 z))
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) y)
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 z y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 z y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 z y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(exp.f64 (log.f64 (-.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(+.f64 z (*.f64 z (neg.f64 x)))
(+.f64 z (*.f64 (neg.f64 x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))

simplify643.0ms (8.6%)

Algorithm
egg-herbie
Rules
792×fma-neg
330×cube-prod
307×associate-*l*
304×associate-*r*
293×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061215877
1150614824
2530814801
Stop Event
node limit
Counts
437 → 388
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
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(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(exp.f64 (log.f64 (-.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(+.f64 z (*.f64 z (neg.f64 x)))
(+.f64 z (*.f64 (neg.f64 x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(*.f64 x z)
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 y (-.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (-.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (-.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) (neg.f64 x))
(/.f64 (-.f64 (*.f64 x z) (*.f64 x y)) z)
(/.f64 (*.f64 x (-.f64 z y)) z)
(*.f64 x (/.f64 (-.f64 z y) z))
(/.f64 (-.f64 (*.f64 x z) (*.f64 x y)) z)
(/.f64 (*.f64 x (-.f64 z y)) z)
(*.f64 x (/.f64 (-.f64 z y) z))
(/.f64 (-.f64 (*.f64 x z) (*.f64 x y)) z)
(/.f64 (*.f64 x (-.f64 z y)) z)
(*.f64 x (/.f64 (-.f64 z y) z))
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(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z y))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 y z)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(-.f64 y z)
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 y z)
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(-.f64 y z)
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(-.f64 y z)
(log.f64 (exp.f64 (-.f64 y z)))
(-.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(-.f64 y z)
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(-.f64 y z)
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(-.f64 y z)
(exp.f64 (log.f64 (-.f64 y z)))
(-.f64 y z)
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(-.f64 y z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(-.f64 y z)
(+.f64 z (*.f64 z (neg.f64 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 z (*.f64 (neg.f64 x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (+.f64 x #s(literal 1 binary64))))
(*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (+.f64 x #s(literal 1 binary64))))
(*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 #s(literal 1 binary64) x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(/.f64 y z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(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)
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 y (neg.f64 z)))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(/.f64 y z)
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 y z)
(log.f64 (exp.f64 (/.f64 y z)))
(/.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(/.f64 y z)
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 y z)

eval55.0ms (0.7%)

Compiler

Compiled 6466 to 1422 computations (78% saved)

prune86.0ms (1.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4452447
Fresh022
Picked145
Done022
Total44610456
Accuracy
100.0%
Counts
456 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(-.f64 z (*.f64 z x))
100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
80.7%
(-.f64 z (*.f64 x (neg.f64 y)))
98.4%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
60.7%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
22.6%
(*.f64 z (neg.f64 x))
57.7%
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
61.2%
(*.f64 x (-.f64 y z))
42.4%
(*.f64 x y)
40.7%
z
Compiler

Compiled 84 to 55 computations (34.5% saved)

localize351.0ms (4.7%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 z (*.f64 z x))
cost-diff-6208
(-.f64 z (*.f64 x (neg.f64 y)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 x (/.f64 z y))
cost-diff0
(-.f64 x (*.f64 x (/.f64 z y)))
cost-diff256
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 z (*.f64 z x))
accuracy100.0%
(*.f64 x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(-.f64 z (*.f64 x (neg.f64 y)))
accuracy100.0%
(*.f64 z (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(-.f64 x (*.f64 x (/.f64 z y)))
accuracy94.4%
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
accuracy90.9%
(*.f64 x (/.f64 z y))
Rules
795×fma-define
779×fma-neg
474×times-frac
442×unsub-neg
318×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013118
123118
249118
3119116
4318101
575397
6183397
7392097
8697197
01033
11733
22833
33933
45033
56733
69033
710733
811333
912533
01363
12559
24955
312355
419555
525755
629355
732555
834555
934755
0943
11643
22843
34942
47840
514240
623640
734040
843740
951340
Stop Event
saturated
saturated
saturated
node limit
Calls
Call 1
Inputs
(-.f64 z (*.f64 z x))
z
(*.f64 z x)
x
Outputs
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(*.f64 z x)
x
Call 2
Inputs
(-.f64 z (*.f64 x (neg.f64 y)))
z
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
Outputs
(-.f64 z (*.f64 x (neg.f64 y)))
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
Call 3
Inputs
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
Outputs
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
Call 4
Inputs
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
y
(-.f64 x (*.f64 x (/.f64 z y)))
x
(*.f64 x (/.f64 z y))
(/.f64 z y)
z
Outputs
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (neg.f64 z)))
(*.f64 x (-.f64 y z))
y
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 z y)
z
Results
173.0ms256×0valid
Compiler

Compiled 64 to 15 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-div: 78.0ms (83.7% of total)
ival-mult: 9.0ms (9.7% of total)
ival-sub: 4.0ms (4.3% of total)
ival-neg: 2.0ms (2.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.4%)

Counts
11 → 264
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 z y))>
#<alt (*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))>
#<alt (-.f64 x (*.f64 x (/.f64 z y)))>
#<alt (/.f64 z y)>
#<alt (neg.f64 x)>
#<alt (*.f64 z (neg.f64 x))>
#<alt (-.f64 z (*.f64 x (neg.f64 y)))>
#<alt (neg.f64 y)>
#<alt (*.f64 x (neg.f64 y))>
#<alt (-.f64 z (*.f64 z x))>
#<alt (*.f64 z x)>
Outputs
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.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 -1 binary64) (/.f64 z x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 z x) z))>
#<alt (*.f64 x (-.f64 (/.f64 z x) z))>
#<alt (*.f64 x (-.f64 (/.f64 z x) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
Calls

72 calls:

TimeVariablePointExpression
7.0ms
z
@inf
(/ z y)
2.0ms
z
@-inf
(/ z y)
1.0ms
x
@-inf
(* y (- x (* x (/ z y))))
1.0ms
y
@0
(* x (/ z y))
1.0ms
z
@0
(* x (/ z y))

rewrite224.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
949×log1p-expm1-u
751×expm1-log1p-u
175×associate-*r*
157×add-cube-cbrt
155×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021221
1338188
25379188
Stop Event
node limit
Counts
11 → 300
Calls
Call 1
Inputs
(*.f64 x (/.f64 z y))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(-.f64 x (*.f64 x (/.f64 z y)))
(/.f64 z y)
(neg.f64 x)
(*.f64 z (neg.f64 x))
(-.f64 z (*.f64 x (neg.f64 y)))
(neg.f64 y)
(*.f64 x (neg.f64 y))
(-.f64 z (*.f64 z x))
(*.f64 z x)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (/.f64 z y)) x)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x (/.f64 z y)) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z y))))
(/.f64 (*.f64 y (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64))) y) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z y))))
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(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 z (*.f64 x z))
(+.f64 (*.f64 x z) z)
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 x z (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x z))))
(*.f64 (+.f64 x #s(literal 1 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(neg.f64 (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))

simplify196.0ms (2.6%)

Algorithm
egg-herbie
Rules
460×associate-*l*
429×times-frac
390×associate-*r*
329×prod-exp
327×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061614209
1134313514
2635213514
Stop Event
node limit
Counts
564 → 406
Calls
Call 1
Inputs
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
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x
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(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
x
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(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
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(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
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z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
z
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(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
z
(+.f64 z (*.f64 x y))
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(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
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(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x y) (+.f64 z (*.f64 x y))))))
(*.f64 (pow.f64 (+.f64 z (*.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 x y) (+.f64 z (*.f64 x y)))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 x y)) (pow.f64 (+.f64 z (*.f64 x y)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 x y) (+.f64 z (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z y) x))))
(/.f64 (pow.f64 (+.f64 z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 z (*.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 x y) (+.f64 z (*.f64 x y))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 z (*.f64 x y)) #s(literal 2 binary64))) (neg.f64 (+.f64 z (*.f64 x y))))
(pow.f64 (+.f64 z (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z (*.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 x y))))
(exp.f64 (log.f64 (+.f64 z (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 z (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.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 x y) #s(literal 1 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 z (*.f64 x z))
(+.f64 (*.f64 x z) z)
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 x z (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x z))))
(*.f64 (+.f64 x #s(literal 1 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(neg.f64 (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (*.f64 x (/.f64 y z))))
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y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 z (*.f64 x z))
(fma.f64 x z z)
(+.f64 (*.f64 x z) z)
(fma.f64 x z z)
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 (neg.f64 z) z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 x z (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (fma.f64 x z (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (fma.f64 x z (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 (neg.f64 z) z)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 (neg.f64 z) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) x))
(fma.f64 x z z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x z z)
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x z z)
(*.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x z z)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x z z)
(*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x z z)
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 x z z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z z)))
(/.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (fma.f64 x z z))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x z))))
(*.f64 (+.f64 x #s(literal 1 binary64)) z)
(fma.f64 x z z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 x z z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z z)))
(/.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (fma.f64 x z z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 x z z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (fma.f64 z z (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z z)))
(/.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (fma.f64 x z z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (pow.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x z z)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x z z) #s(literal 2 binary64)) (fma.f64 x z z)))
(pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x z z)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(fma.f64 x z z)
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x z z)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(fma.f64 x z z)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 x z z)
(log.f64 (exp.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x z z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 x z z)
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(fma.f64 x z z)
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(expm1.f64 (log1p.f64 (fma.f64 x z z)))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x z z)
(exp.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x z z)
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 x z z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x z))
(fma.f64 x z z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x z))
(fma.f64 x z z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x z))
(fma.f64 x z z)
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 x z)
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 x) z))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(*.f64 x z)

eval182.0ms (2.4%)

Compiler

Compiled 4940 to 1117 computations (77.4% saved)

prune183.0ms (2.5%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New4051406
Fresh000
Picked134
Done066
Total40610416
Accuracy
100.0%
Counts
416 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(-.f64 z (*.f64 z x))
100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
98.4%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
80.7%
(+.f64 (*.f64 x y) z)
60.7%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
22.6%
(*.f64 z (neg.f64 x))
57.7%
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
61.2%
(*.f64 x (-.f64 y z))
42.4%
(*.f64 x y)
40.7%
z
Compiler

Compiled 83 to 54 computations (34.9% saved)

localize37.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 x y) z)
cost-diff0
(*.f64 x y)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 (*.f64 x y) z)
Rules
fma-define
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
11543
21643
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
Outputs
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 x y)
x
y
z
Results
26.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 11.0ms (85.8% of total)
ival-add: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

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

9 calls:

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

rewrite80.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
811×prod-diff
560×log1p-expm1-u
560×expm1-log1p-u
502×unpow-prod-down
282×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
111818
2152618
Stop Event
node limit
Counts
1 → 72
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x y z))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x y (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 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)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)

simplify135.0ms (1.8%)

Algorithm
egg-herbie
Rules
627×fma-neg
543×distribute-lft-in
464×distribute-lft-neg-in
392×distribute-rgt-neg-in
291×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02112602
14842560
212352535
341012508
Stop Event
node limit
Counts
108 → 89
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x y z))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x y (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 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)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
Outputs
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(*.f64 x y)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 x y z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 x y z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 x y z)
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(fma.f64 x y z)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))))
(fma.f64 x y z)
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y z)
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 x y z)
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
(fma.f64 x y z)
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) #s(literal 1 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y z))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x y z))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x y z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x y z)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y z)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x y (neg.f64 z)))
(fma.f64 x y z)
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(fma.f64 x y z)
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 z (*.f64 x y)))
(fma.f64 x y z)
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 x y z)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(fma.f64 x y z)
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x y z)
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y z)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(fma.f64 x y z)
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 x y z)
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(fma.f64 x y z)
(log.f64 (exp.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(fma.f64 x y z)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 x y z)
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 x y z)
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(fma.f64 x y z)
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(exp.f64 (log.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 x y z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 x y z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 x y z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 x y z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 x y z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 x y z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 x y z)

eval150.0ms (2%)

Compiler

Compiled 1188 to 261 computations (78% saved)

prune378.0ms (5.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done099
Total10210112
Accuracy
100.0%
Counts
112 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(-.f64 z (*.f64 z x))
100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
98.4%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
80.7%
(+.f64 (*.f64 x y) z)
60.7%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
22.6%
(*.f64 z (neg.f64 x))
57.7%
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
61.2%
(*.f64 x (-.f64 y z))
42.4%
(*.f64 x y)
40.7%
z
Compiler

Compiled 164 to 86 computations (47.6% saved)

regimes33.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))
(-.f64 z (*.f64 x (neg.f64 y)))
(-.f64 z (*.f64 x (-.f64 z y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(-.f64 z (*.f64 z (-.f64 x (*.f64 x (/.f64 y z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
Calls

4 calls:

18.0ms
y
4.0ms
z
4.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

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

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
86.8%3y
88.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
89.4%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
Outputs
(*.f64 x (-.f64 y z))
z
(*.f64 x (-.f64 y z))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
89.4%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

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

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
58.3%3y
61.8%3z
70.6%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
40.7%1y
40.7%1z
40.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.200278899298792e-16
0.3105812502964912
7.0ms
-27594688.24635249
-12845199.326184923
Results
13.0ms240×0valid
Compiler

Compiled 288 to 193 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (63.9% of total)
ival-sub: 1.0ms (16% of total)
ival-add: 1.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch125.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.200278899298792e-16
0.3105812502964912
109.0ms
-4.6393077915070586e-66
-1.8537628952532374e-66
Results
116.0ms240×0valid
Compiler

Compiled 288 to 208 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (60.1% of total)
ival-sub: 1.0ms (15% of total)
ival-add: 1.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.200278899298792e-16
0.3105812502964912
10.0ms
-4.6393077915070586e-66
-1.8537628952532374e-66
Results
15.0ms240×0valid
Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (57.8% of total)
ival-sub: 1.0ms (14.5% of total)
ival-add: 1.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.200278899298792e-16
0.3105812502964912
8.0ms
-4.6393077915070586e-66
-1.8537628952532374e-66
Results
14.0ms240×0valid
Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (61.9% of total)
ival-sub: 1.0ms (15.5% of total)
ival-add: 1.0ms (15.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify73.0ms (1%)

Algorithm
egg-herbie
Rules
90×unsub-neg
53×neg-mul-1
50×distribute-lft-neg-in
30×neg-sub0
24×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046287
181287
299287
3112287
4132287
5157287
6179287
7230287
8324287
9377287
10392287
11414287
12439287
13472287
14509287
15516287
16517287
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -13000000 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5404319552844595/18014398509481984 binary64)) (+.f64 (*.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5077488442381443/4835703278458516698824704 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -8157691637276011/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 4835703278458517/604462909807314587353088 binary64)) z (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 7910139745424151/10141204801825835211973625643008 binary64)) z (*.f64 x y)))
z
Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -13000000 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5404319552844595/18014398509481984 binary64)) (+.f64 (*.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -13000000 binary64)) (not (<=.f64 x #s(literal 5404319552844595/18014398509481984 binary64)))) (*.f64 x (-.f64 y z)) (+.f64 z (*.f64 x y)))
(if (<=.f64 x #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5077488442381443/4835703278458516698824704 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -8726832914295267/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (not (<=.f64 x #s(literal 5077488442381443/4835703278458516698824704 binary64)))) (*.f64 x (-.f64 y z)) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -8157691637276011/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 4835703278458517/604462909807314587353088 binary64)) z (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -8157691637276011/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (not (<=.f64 x #s(literal 4835703278458517/604462909807314587353088 binary64)))) (*.f64 x (-.f64 y z)) z)
(if (<=.f64 x #s(literal -3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 7910139745424151/10141204801825835211973625643008 binary64)) z (*.f64 x y)))
(if (or (<=.f64 x #s(literal -3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (not (<=.f64 x #s(literal 7910139745424151/10141204801825835211973625643008 binary64)))) (*.f64 x y) z)
z

soundness744.0ms (10%)

Rules
1182×fma-neg
949×log1p-expm1-u
751×expm1-log1p-u
552×fma-neg
507×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040399
1100387
2237379
3683351
41709339
52871337
63249337
73289337
83293337
93293317
103936317
113936317
070818756
1165617405
2493117370
021221
1338188
25379188
Stop Event
done
node limit
node limit
saturated
Compiler

Compiled 288 to 115 computations (60.1% saved)

preprocess41.0ms (0.5%)

Compiler

Compiled 178 to 94 computations (47.2% saved)

end0.0ms (0%)

Profiling

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