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

Time bar (total: 8.1s)

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)

sample897.0ms (11.1%)

Results
500.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-mult: 151.0ms (59.5% of total)
ival-sub: 46.0ms (18.1% of total)
ival-add: 42.0ms (16.6% of total)
const: 11.0ms (4.3% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess197.0ms (2.4%)

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)

explain76.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(+.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
50.0ms512×0valid
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 (55.6% of total)
ival-sub: 3.0ms (20.8% of total)
ival-add: 2.0ms (13.9% of total)
const: 1.0ms (6.9% 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
100.0%
(fma.f64 x (-.f64 y z) z)
100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
96.5%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Compiler

Compiled 31 to 19 computations (38.7% saved)

localize178.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(fma.f64 x (-.f64 y z) z)
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 y z)
accuracy100.0%
(fma.f64 x (-.f64 y z) z)
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)
accuracy97.0%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Rules
346×fma-define
298×fma-neg
271×fma-define
251×fma-neg
250×fma-neg
Iterations

Useful iterations: 0 (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
01252
11752
23052
35952
410752
518152
629352
748952
887652
9111252
10121252
11121952
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 y z) z)
x
(-.f64 y z)
y
z
Outputs
(fma.f64 x (-.f64 y z) z)
x
(-.f64 y z)
y
z
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 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 7.0ms (39.4% of total)
ival-mult: 6.0ms (33.8% of total)
ival-fma: 3.0ms (16.9% of total)
ival-add: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series75.0ms (0.9%)

Counts
9 → 210
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 x (-.f64 y z) z)>
#<alt (-.f64 y z)>
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))>
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#<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 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 x (-.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (*.f64 x y) (*.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 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
Calls

63 calls:

TimeVariablePointExpression
52.0ms
z
@inf
(- z y)
1.0ms
x
@inf
(+ (* x y) (* (- 1 x) z))
1.0ms
z
@inf
(* (- 1 x) z)
1.0ms
y
@0
(+ (* x y) (* (- 1 x) z))
1.0ms
x
@0
(+ (* x y) (* (- 1 x) z))

rewrite396.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
1107×log1p-expm1-u
887×expm1-log1p-u
149×add-cube-cbrt
146×add-exp-log
145×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020181
1308181
24683181
Stop Event
node limit
Counts
9 → 256
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 x (-.f64 y z) z)
(-.f64 y z)
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) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.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 (-.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 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)))) (+.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))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)))))
(/.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 x (*.f64 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 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))))))
(/.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 #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 (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 (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 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
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(*.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 y z)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 (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 y z))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.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 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.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))

simplify451.0ms (5.6%)

Algorithm
egg-herbie
Rules
354×fma-define
337×sub-neg
285×associate-*l*
279×associate-*r*
249×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068014460
1168413796
2592313736
Stop Event
node limit
Counts
466 → 379
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
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(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.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)))))
(*.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)))))
(*.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)))))
z
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
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(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
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(*.f64 x z)
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
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(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
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(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x y)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
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(*.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)))))
(*.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)))))
z
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))
(-.f64 z (*.f64 x z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))
(*.f64 x y)
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))
(*.f64 #s(literal -1 binary64) y)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 #s(literal -1 binary64) y))
(+.f64 z (*.f64 #s(literal -1 binary64) y))
(+.f64 z (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
z
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(*.f64 x y)
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(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
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(pow.f64 (pow.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z (*.f64 x (-.f64 z y))))))
(cbrt.f64 (pow.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(log1p.f64 (expm1.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(exp.f64 (log.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (neg.f64 (-.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (neg.f64 (-.f64 z y))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (neg.f64 (-.f64 z y))))
(+.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 z z (*.f64 y (+.f64 y z)))))
(*.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 z z (*.f64 y (+.f64 y z))) (-.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 z z (*.f64 y (+.f64 y z))))
(/.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 z z (*.f64 y (+.f64 y z)))))
(/.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))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.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 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 (*.f64 x (-.f64 y z)) z)
(+.f64 (*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z))
(*.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) z))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 y z)) z))
(pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 y z) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 y z) 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 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 (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 y z))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.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 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.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))
Outputs
z
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 z y))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.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)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.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)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y z)) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y z)) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y z)) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.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)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y z)) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
(*.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)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y z)) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
(*.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)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y z)) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
z
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
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(-.f64 z y)
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 z y)
(pow.f64 (sqrt.f64 (-.f64 z y)) #s(literal 2 binary64))
(-.f64 z y)
(sqrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(-.f64 z y)
(log.f64 (exp.f64 (-.f64 z y)))
(-.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z y))))
(-.f64 z y)
(cbrt.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)))
(-.f64 z y)
(expm1.f64 (log1p.f64 (-.f64 z y)))
(log1p.f64 (expm1.f64 (-.f64 z y)))
(-.f64 z y)
(exp.f64 (log.f64 (-.f64 z y)))
(-.f64 z y)
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1 binary64)))
(-.f64 z y)
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(-.f64 z y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(-.f64 z y)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(-.f64 z y)
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x (-.f64 y z)) z)
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) z)
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z))) #s(literal 1 binary64))
(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)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) z)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z z (*.f64 x (*.f64 (-.f64 z y) (+.f64 z (*.f64 x (-.f64 z y)))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 x (-.f64 z y)) (fma.f64 x (-.f64 z y) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 y z)) z))
(*.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) (+.f64 z (*.f64 x (-.f64 z y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 z y) z))
(/.f64 (pow.f64 (fma.f64 x (-.f64 z y) z) #s(literal 2 binary64)) (fma.f64 x (-.f64 z y) z))
(pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 3 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 2 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 y z) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) 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 z y) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 y (neg.f64 z))
(-.f64 z y)
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 z y)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 z y)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 z y)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 z y)
(+.f64 (neg.f64 z) y)
(-.f64 z y)
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 z y)
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 z y)
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(-.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(-.f64 z y)
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(-.f64 z y)
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y 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 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.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 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.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 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(/.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 #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 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 y 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 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.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 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.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 #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 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 z y)
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(-.f64 z y)
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 z y)
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(-.f64 z y)
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(-.f64 z y)
(log.f64 (exp.f64 (-.f64 y z)))
(-.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(-.f64 z y)
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(-.f64 z y)
(expm1.f64 (log1p.f64 (-.f64 y z)))
(expm1.f64 (log1p.f64 (-.f64 z y)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(-.f64 z y)
(exp.f64 (log.f64 (-.f64 y z)))
(-.f64 z y)
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(-.f64 z y)
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(-.f64 z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(-.f64 z y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(-.f64 z y)

eval50.0ms (0.6%)

Compiler

Compiled 5168 to 1102 computations (78.7% saved)

prune162.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3718379
Fresh000
Picked303
Done000
Total3748382
Accuracy
100.0%
Counts
382 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(-.f64 z (*.f64 z x))
72.0%
(-.f64 z (*.f64 y (neg.f64 x)))
62.1%
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
64.5%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
88.7%
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
65.6%
(*.f64 x (-.f64 y z))
38.7%
(*.f64 x y)
35.9%
z
Compiler

Compiled 132 to 86 computations (34.8% saved)

localize330.0ms (4.1%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(*.f64 x y)
cost-diff192
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 z (*.f64 z x))
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff-6400
(-.f64 (+.f64 y (/.f64 z x)) z)
cost-diff-6144
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
cost-diff0
(/.f64 z x)
cost-diff0
(+.f64 y (/.f64 z x))
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(neg.f64 x)
accuracy97.0%
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 z (*.f64 z x))
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(*.f64 x (-.f64 y z))
accuracy100.0%
(/.f64 z x)
accuracy100.0%
(-.f64 (+.f64 y (/.f64 z x)) z)
accuracy100.0%
(+.f64 y (/.f64 z x))
accuracy88.7%
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
Rules
1758×fma-neg
647×fma-define
543×times-frac
435×distribute-lft-in
413×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013118
120118
243118
395118
4173118
5274111
6500105
71045105
81887104
94310104
105487104
116055104
126260104
136309104
146345104
044
01147
11547
22647
34647
47747
511447
618647
730847
855047
968547
1075147
1175347
0943
11643
22843
34942
47840
514240
623640
734040
843740
951340
01481
12581
23972
37072
410472
515072
627972
747972
858772
966672
1068072
Stop Event
saturated
saturated
saturated
saturated
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
(*.f64 x y)
x
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z
Outputs
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
(fma.f64 x y (*.f64 (neg.f64 x) z))
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (-.f64 y z))
(*.f64 x y)
x
y
(*.f64 (neg.f64 x) z)
(*.f64 x (neg.f64 z))
(neg.f64 x)
z
Call 2
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 3
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 4
Inputs
z
Outputs
z
Call 5
Inputs
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
x
(-.f64 (+.f64 y (/.f64 z x)) z)
(+.f64 y (/.f64 z x))
y
(/.f64 z x)
z
Outputs
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
x
(-.f64 (+.f64 y (/.f64 z x)) z)
(+.f64 y (-.f64 (/.f64 z x) z))
(fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y)
(+.f64 y (/.f64 z x))
y
(/.f64 z x)
z
Results
63.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 29.0ms (74% of total)
ival-sub: 4.0ms (10.2% of total)
ival-div: 3.0ms (7.7% of total)
ival-add: 2.0ms (5.1% of total)
ival-neg: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.6%)

Counts
10 → 228
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (+.f64 y (/.f64 z x))>
#<alt (-.f64 (+.f64 y (/.f64 z x)) z)>
#<alt (/.f64 z x)>
#<alt (*.f64 x (-.f64 y z))>
#<alt (-.f64 z (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))>
#<alt (neg.f64 x)>
#<alt (*.f64 (neg.f64 x) z)>
Outputs
#<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))>
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#<alt (/.f64 z x)>
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#<alt y>
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#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))>
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#<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)>
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#<alt (*.f64 x z)>
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#<alt (*.f64 x z)>
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#<alt (*.f64 x z)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) 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 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) 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))>
Calls

72 calls:

TimeVariablePointExpression
16.0ms
y
@0
(* x (- y z))
3.0ms
y
@0
(+ (* x y) (* (neg x) z))
1.0ms
x
@-inf
(* x (- (+ y (/ z x)) z))
1.0ms
z
@inf
(* x (- (+ y (/ z x)) z))
1.0ms
y
@0
(* x (- (+ y (/ z x)) z))

rewrite193.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1161×log1p-expm1-u
177×expm1-log1p-u
174×add-cube-cbrt
172×add-exp-log
172×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022206
1370199
26034199
Stop Event
node limit
Counts
10 → 350
Calls
Call 1
Inputs
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(+.f64 y (/.f64 z x))
(-.f64 (+.f64 y (/.f64 z x)) z)
(/.f64 z x)
(*.f64 x (-.f64 y z))
(-.f64 z (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
(neg.f64 x)
(*.f64 (neg.f64 x) z)
Outputs
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 (*.f64 x y) (*.f64 (-.f64 (/.f64 z x) z) x))
(+.f64 (*.f64 x (+.f64 y (/.f64 z x))) (*.f64 x z))
(+.f64 (*.f64 (+.f64 y (/.f64 z x)) x) (*.f64 x z))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y z)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 z) x)))
(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)))
(fma.f64 x y (*.f64 x z))
(fma.f64 x z (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x z))
(+.f64 z (*.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 (neg.f64 z) x (*.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 (*.f64 x z) 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 (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 (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 (+.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 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.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 (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 (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 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (*.f64 x y) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y z)) x))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)))
(*.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 y z)) (*.f64 (sqrt.f64 (-.f64 y z)) x))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y z)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
(*.f64 (*.f64 (-.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z)))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y z)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 y z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 x y)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 y z))
(/.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 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 y 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)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 z) x)))
(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)))
(fma.f64 x y (*.f64 x z))
(fma.f64 x z (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x z))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.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 z) x))
(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)))

simplify364.0ms (4.5%)

Algorithm
egg-herbie
Rules
481×fma-define
470×associate-*l*
394×associate-*r*
342×exp-prod
263×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069218796
1160117869
2726517869
Stop Event
node limit
Counts
578 → 469
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (-.f64 (/.f64 z x) z))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
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(/.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 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (*.f64 x y) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y z)) x))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)))
(*.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 y z)) (*.f64 (sqrt.f64 (-.f64 y z)) x))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y z)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
(*.f64 (*.f64 (-.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z)))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y z)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 y z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 x y)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 y z))
(/.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 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 y 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)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 z) x)))
(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)))
(fma.f64 x y (*.f64 x z))
(fma.f64 x z (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x z))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.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 z) x))
(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
z
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (-.f64 (/.f64 z x) z))))
(*.f64 x (neg.f64 (-.f64 (-.f64 z y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (-.f64 (/.f64 z x) z))))
(*.f64 x (neg.f64 (-.f64 (-.f64 z y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (-.f64 (/.f64 z x) z))))
(*.f64 x (neg.f64 (-.f64 (-.f64 z y) (/.f64 z x))))
(*.f64 x (-.f64 (/.f64 z x) z))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x)) (neg.f64 y))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 x) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 z y)))
(/.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 y z))))
(*.f64 x (/.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 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 y z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (+.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 y z))))
(*.f64 x (/.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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 y z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (+.f64 z y)))
(pow.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(*.f64 x (-.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 3 binary64))
(*.f64 x (-.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (-.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))
(*.f64 x (-.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (-.f64 y z)))
(log.f64 (pow.f64 (exp.f64 (-.f64 y z)) x))
(*.f64 x (-.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y z)))))
(*.f64 x (-.f64 y z))
(log.f64 (/.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 z) x)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(*.f64 x (-.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (-.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y z))) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(fma.f64 x y (*.f64 x z))
(*.f64 x (+.f64 z y))
(fma.f64 x z (*.f64 x y))
(*.f64 x (+.f64 z y))
(fma.f64 y x (*.f64 x z))
(*.f64 x (+.f64 z y))
(fma.f64 z x (*.f64 x y))
(*.f64 x (+.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x y))
(*.f64 x (+.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
(*.f64 x (+.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x z))
(*.f64 x (+.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
(*.f64 x (+.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 #s(literal 0 binary64) x)
x
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x))
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 z x)
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z x))
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 x z)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(*.f64 z x)

eval234.0ms (2.9%)

Compiler

Compiled 7217 to 1534 computations (78.7% saved)

prune216.0ms (2.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5322534
Fresh033
Picked145
Done000
Total5339542
Accuracy
100.0%
Counts
542 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(-.f64 (*.f64 x y) (*.f64 x z))
64.5%
(-.f64 z (*.f64 z x))
72.0%
(-.f64 z (*.f64 y (neg.f64 x)))
64.5%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
30.5%
(*.f64 z (neg.f64 x))
88.7%
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
65.6%
(*.f64 x (-.f64 y z))
38.7%
(*.f64 x y)
35.9%
z
Compiler

Compiled 112 to 74 computations (33.9% saved)

localize315.0ms (3.9%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 x y)
cost-diff128
(-.f64 (*.f64 x y) (*.f64 x z))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 z (-.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff0
(*.f64 x y)
cost-diff-6208
(-.f64 z (*.f64 y (neg.f64 x)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 y (neg.f64 x))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(*.f64 x y)
accuracy97.0%
(-.f64 (*.f64 x y) (*.f64 x z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 z (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 y (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(-.f64 z (*.f64 y (neg.f64 x)))
Rules
192×fma-define
146×fma-define
134×fma-neg
63×fma-define
61×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01363
12559
24955
312355
419555
525755
629355
732555
834555
934755
0821
1921
01033
11733
22833
33933
45033
56733
69033
710733
811333
912533
01038
11938
22938
35038
410138
514438
620938
729238
844738
949138
1052038
1152438
01260
12460
24160
36060
49660
514860
625960
742660
861860
969760
1071160
Stop Event
saturated
saturated
saturated
saturated
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
x
y
(*.f64 x z)
z
Outputs
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (-.f64 y z))
(*.f64 x y)
x
y
(*.f64 x z)
z
Call 2
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 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 x y)
x
y
Outputs
(*.f64 x y)
x
y
Call 5
Inputs
(-.f64 z (*.f64 y (neg.f64 x)))
z
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
Outputs
(-.f64 z (*.f64 y (neg.f64 x)))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
z
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
Results
207.0ms256×0valid
Compiler

Compiled 59 to 14 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (60.4% of total)
ival-sub: 4.0ms (26.8% of total)
ival-neg: 1.0ms (6.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

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

42 calls:

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

rewrite159.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
767×log1p-expm1-u
767×expm1-log1p-u
588×fma-define
300×fma-neg
194×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020118
1305102
2447798
Stop Event
node limit
Counts
6 → 351
Calls
Call 1
Inputs
(-.f64 z (*.f64 y (neg.f64 x)))
(*.f64 y (neg.f64 x))
(*.f64 z (neg.f64 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x z)
Outputs
(+.f64 z (*.f64 y x))
(+.f64 (fma.f64 y x z) (fma.f64 x y (*.f64 y x)))
(+.f64 (fma.f64 y x z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(+.f64 (*.f64 y x) z)
(*.f64 (fma.f64 y x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y x z)))
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x z) (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (fma.f64 y x z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x z)))
(pow.f64 (fma.f64 y x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(hypot.f64 z (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(exp.f64 (log.f64 (fma.f64 y x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 x (neg.f64 y) z)
(fma.f64 (fma.f64 y x z) #s(literal 1 binary64) (fma.f64 x y (*.f64 y x)))
(fma.f64 (fma.f64 y x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x z) (fma.f64 x y (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) z)
(fma.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (fma.f64 x y (*.f64 y x)))
(fma.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y x z)) (fma.f64 x y (*.f64 y x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y x))) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)) (fma.f64 x y (*.f64 y x)))
(fma.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 x y (*.f64 y x)))
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) z)
(fma.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (fma.f64 x y (*.f64 y x)))
(fma.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 (neg.f64 y) x z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))) (fma.f64 x y (*.f64 y x)))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) 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)
(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 #s(literal -1 binary64)) x z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x z)
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 z (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 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) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 z)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) z (*.f64 z x))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(+.f64 (*.f64 x (-.f64 y z)) (fma.f64 z x (*.f64 z x)))
(+.f64 (*.f64 x (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(+.f64 (*.f64 x (-.f64 y z)) (*.f64 (fma.f64 z x (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 y z)) (+.f64 (fma.f64 z x (*.f64 z x)) (fma.f64 z x (*.f64 z x))))
(+.f64 (fma.f64 z x (*.f64 z x)) (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))
(*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)))
(*.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)))
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(fma.f64 (-.f64 y z) x (+.f64 (fma.f64 z x (*.f64 z x)) (fma.f64 z x (*.f64 z x))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 z x))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 z x (*.f64 z x))) (cbrt.f64 (fma.f64 z x (*.f64 z x)))) (cbrt.f64 (fma.f64 z x (*.f64 z x))) (*.f64 x (-.f64 y z)))
(fma.f64 (sqrt.f64 (fma.f64 z x (*.f64 z x))) (sqrt.f64 (fma.f64 z x (*.f64 z x))) (*.f64 x (-.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (fma.f64 z x (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (*.f64 (fma.f64 z x (*.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (+.f64 (fma.f64 z x (*.f64 z x)) (fma.f64 z x (*.f64 z x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z x)) (*.f64 y x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) (*.f64 z x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 z x))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x (*.f64 z x))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z x))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x (*.f64 z x))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))

simplify236.0ms (2.9%)

Algorithm
egg-herbie
Rules
546×fma-neg
448×distribute-lft-in
427×distribute-rgt-in
341×distribute-lft-neg-in
325×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057515947
1129913985
2343913845
Stop Event
node limit
Counts
480 → 445
Calls
Call 1
Inputs
(*.f64 x y)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.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))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.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)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x 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 (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
z
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x 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 (*.f64 x z) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x 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 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(+.f64 z (*.f64 y x))
(+.f64 (fma.f64 y x z) (fma.f64 x y (*.f64 y x)))
(+.f64 (fma.f64 y x z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(+.f64 (*.f64 y x) z)
(*.f64 (fma.f64 y x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y x z)))
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x z) (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (fma.f64 y x z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x z)))
(pow.f64 (fma.f64 y x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(hypot.f64 z (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
Outputs
(*.f64 x y)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 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 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 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 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
z
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (neg.f64 y)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (neg.f64 y)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (neg.f64 y)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 x (-.f64 (/.f64 z x) (neg.f64 y)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 x (-.f64 (/.f64 z x) (neg.f64 y)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 x (-.f64 (/.f64 z x) (neg.f64 y)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
z
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 z (neg.f64 x)))
(-.f64 z (*.f64 x z))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 z (neg.f64 x)))
(-.f64 z (*.f64 x z))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 z (neg.f64 x)))
(-.f64 z (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.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 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.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 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.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 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.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 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(+.f64 z (*.f64 y x))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(+.f64 (fma.f64 y x z) (fma.f64 x y (*.f64 y x)))
(+.f64 (fma.f64 x y z) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y z) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (fma.f64 y x z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (fma.f64 x y z) (+.f64 (*.f64 x y) (*.f64 x (neg.f64 y))))
(+.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) (*.f64 x y)))
(+.f64 (*.f64 y x) z)
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(*.f64 (fma.f64 y x z) #s(literal 1 binary64))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(-.f64 z (*.f64 y (neg.f64 x)))
(fma.f64 x y z)
(*.f64 (cbrt.f64 (fma.f64 y x z)) (cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))))
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(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x y (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(fma.f64 x (+.f64 y z) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x y (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(fma.f64 x (+.f64 y z) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x y (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(fma.f64 x (+.f64 y z) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 z x))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x (neg.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(+.f64 (*.f64 x (fma.f64 y #s(literal -1 binary64) z)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 z y)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x (*.f64 z x))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x (neg.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(+.f64 (*.f64 x (fma.f64 y #s(literal -1 binary64) z)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 z y)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z x))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x (neg.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(+.f64 (*.f64 x (fma.f64 y #s(literal -1 binary64) z)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 z y)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z x))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x (neg.f64 y) (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(+.f64 (*.f64 x (fma.f64 y #s(literal -1 binary64) z)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 z y)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(fma.f64 x (neg.f64 y) (*.f64 x z))
(*.f64 x (fma.f64 y #s(literal -1 binary64) z))
(*.f64 x (-.f64 z y))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x (*.f64 z x))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x (fma.f64 z x (fma.f64 z x (*.f64 z x))))
(fma.f64 x y (fma.f64 z x (fma.f64 z x (*.f64 x z))))
(fma.f64 x (+.f64 y z) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x (neg.f64 (-.f64 (*.f64 z x) (fma.f64 z x (*.f64 z x)))))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(*.f64 x (+.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(*.f64 x (+.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 x z)
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 x z)

eval327.0ms (4%)

Compiler

Compiled 7430 to 1059 computations (85.7% saved)

prune98.0ms (1.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New5792581
Fresh000
Picked145
Done134
Total5819590
Accuracy
100.0%
Counts
590 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(-.f64 (*.f64 x y) (*.f64 x z))
64.5%
(-.f64 z (*.f64 z x))
72.0%
(+.f64 (*.f64 y x) z)
64.5%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
30.5%
(*.f64 z (neg.f64 x))
70.2%
(*.f64 y (+.f64 x (/.f64 z y)))
65.6%
(*.f64 x (-.f64 y z))
38.7%
(*.f64 x y)
35.9%
z
Compiler

Compiled 69 to 45 computations (34.8% saved)

localize543.0ms (6.7%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 y x) z)
cost-diff0
(*.f64 y x)
cost-diff-6144
(*.f64 y (+.f64 x (/.f64 z y)))
cost-diff0
(/.f64 z y)
cost-diff0
(+.f64 x (/.f64 z y))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 (*.f64 y x) z)
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(+.f64 x (/.f64 z y))
accuracy88.6%
(*.f64 y (+.f64 x (/.f64 z y)))
Rules
1744×cube-prod
807×swap-sqr
794×cube-div
517×pow-sqr
389×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01278
12078
23078
33471
43765
54865
67365
715065
864665
9175365
10257865
11304365
12370065
13463365
14496165
15505165
16512165
17519965
18536965
19646465
20697365
21707665
22715465
23722765
24730065
25737565
26746265
27754965
28763665
29772365
01143
11543
21643
Stop Event
saturated
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
Outputs
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
y
x
z
Call 2
Inputs
(*.f64 y (+.f64 x (/.f64 z y)))
y
(+.f64 x (/.f64 z y))
x
(/.f64 z y)
z
Outputs
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 y x (*.f64 z #s(literal 1 binary64)))
(fma.f64 y x z)
y
(+.f64 x (/.f64 z y))
x
(/.f64 z y)
z
Results
57.0ms256×0valid
Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-add: 29.0ms (82.5% of total)
ival-mult: 4.0ms (11.4% of total)
ival-div: 2.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
5 → 117
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (+.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (+.f64 (*.f64 y x) z)>
#<alt (*.f64 y x)>
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 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 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 (*.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))))>
#<alt (/.f64 z y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt x>
#<alt (/.f64 z y)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))>
#<alt (/.f64 z y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 z y)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) y)>
#<alt x>
#<alt 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 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 (*.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))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
Calls

39 calls:

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

rewrite363.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1116×log1p-expm1-u
1116×expm1-log1p-u
470×fma-define
250×fma-neg
178×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01497
119997
2303397
Stop Event
node limit
Counts
5 → 221
Calls
Call 1
Inputs
(*.f64 y (+.f64 x (/.f64 z y)))
(+.f64 x (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
Outputs
(+.f64 (*.f64 y x) (*.f64 y (/.f64 z y)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 z y)) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (/.f64 z y)) (*.f64 y (/.f64 z y))) (*.f64 (*.f64 y x) (*.f64 y (/.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 z y)) (*.f64 y (/.f64 z y)))) (-.f64 (*.f64 y x) (*.f64 y (/.f64 z y))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (-.f64 x (/.f64 z y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) y) (-.f64 x (/.f64 z y)))
(pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x (/.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y (/.f64 z y)))
(fma.f64 y x (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z y) (*.f64 y x))
(fma.f64 x y (*.f64 y (/.f64 z y)))
(fma.f64 x y (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y x))
(fma.f64 (/.f64 z y) y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z y)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z y)) y) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y (/.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 z y)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 (/.f64 z y)) y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y (/.f64 z y)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z y)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y (/.f64 z y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y (/.f64 z y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) (cbrt.f64 (*.f64 y (/.f64 z y)))) (cbrt.f64 (*.f64 y (/.f64 z y))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 z y))) (sqrt.f64 (*.f64 y (/.f64 z y))) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 z y))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 z y))) (*.f64 y x))
(fma.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 (/.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (/.f64 z y))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 x (/.f64 z y))))
(*.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 z y))) (sqrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 z y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (-.f64 x (/.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 z y) x))
(pow.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (+.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 z y))
(fma.f64 z (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 z y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 z y))
(fma.f64 #s(literal 1 binary64) (/.f64 z y) x)
(fma.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 z y))
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) x)
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 z y))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) z x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y) x)
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.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))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(*.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x z)))
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 z (*.f64 y x)))
(pow.f64 (fma.f64 y x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(exp.f64 (log.f64 (fma.f64 y x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 z #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 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)
(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)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))

simplify291.0ms (3.6%)

Algorithm
egg-herbie
Rules
444×cancel-sign-sub-inv
350×distribute-lft-in
340×distribute-rgt-in
324×distribute-lft-neg-in
321×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04529094
110178384
230718088
Stop Event
node limit
Counts
338 → 254
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 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)))))
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)))))
(*.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 z y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
x
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(/.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 z y)
(/.f64 (+.f64 z (*.f64 x y)) y)
(/.f64 (+.f64 z (*.f64 x y)) y)
(/.f64 (+.f64 z (*.f64 x y)) y)
x
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)))))
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)))))
(*.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 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 y (/.f64 z y)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 z y)) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (/.f64 z y)) (*.f64 y (/.f64 z y))) (*.f64 (*.f64 y x) (*.f64 y (/.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 z y)) (*.f64 y (/.f64 z y)))) (-.f64 (*.f64 y x) (*.f64 y (/.f64 z y))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (-.f64 x (/.f64 z y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) y) (-.f64 x (/.f64 z y)))
(pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x (/.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y (/.f64 z y)))
(fma.f64 y x (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z y) (*.f64 y x))
(fma.f64 x y (*.f64 y (/.f64 z y)))
(fma.f64 x y (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y x))
(fma.f64 (/.f64 z y) y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z y)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z y)) y) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y (/.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 z y)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 (/.f64 z y)) y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y (/.f64 z y)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z y)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y (/.f64 z y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y (/.f64 z y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) (cbrt.f64 (*.f64 y (/.f64 z y)))) (cbrt.f64 (*.f64 y (/.f64 z y))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 z y))) (sqrt.f64 (*.f64 y (/.f64 z y))) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 z y))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 z y))) (*.f64 y x))
(fma.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 (/.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (/.f64 z y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (/.f64 z y))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 x (/.f64 z y))))
(*.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 z y))) (sqrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 z y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (-.f64 x (/.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 z y) x))
(pow.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (+.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 z y))
(fma.f64 z (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 z y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 z y))
(fma.f64 #s(literal 1 binary64) (/.f64 z y) x)
(fma.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 z y))
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) x)
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 z y))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) z x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y) x)
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.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))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(*.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x z)))
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 z (*.f64 y x)))
(pow.f64 (fma.f64 y x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(exp.f64 (log.f64 (fma.f64 y x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 z #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 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)
(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)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
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 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)
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)))
(*.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 x (+.f64 y (/.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 x (+.f64 y (/.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 x (+.f64 y (/.f64 z x)))
(*.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)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 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 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 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 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(/.f64 z y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
x
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(/.f64 z y)
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(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 z y)) (-.f64 (*.f64 y (/.f64 z y)) (*.f64 x y)))))
(/.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 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (*.f64 y (-.f64 x (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x y) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 z y)) (-.f64 (*.f64 y (/.f64 z y)) (*.f64 x y)))))
(/.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 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (*.f64 y (-.f64 x (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x y) z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (*.f64 y (-.f64 x (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x y) z))
(pow.f64 (fma.f64 y x z) #s(literal 1 binary64))
(fma.f64 x y z)
(pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 3 binary64))
(fma.f64 x y z)
(pow.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y z)
(pow.f64 (sqrt.f64 (fma.f64 y x z)) #s(literal 2 binary64))
(fma.f64 x y z)
(sqrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)))
(fma.f64 x y z)
(log.f64 (exp.f64 (fma.f64 y x z)))
(fma.f64 x y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(fma.f64 x y z)
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(fma.f64 x y z)
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(fma.f64 x y z)
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(fma.f64 x y z)
(exp.f64 (log.f64 (fma.f64 y x z)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 x y z)
(fma.f64 z #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y z)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) z)
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 x y z)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 x y z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(fma.f64 x y z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 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)
(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)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 y x) #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 y x))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x y)

eval32.0ms (0.4%)

Compiler

Compiled 3133 to 626 computations (80% saved)

prune93.0ms (1.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2540254
Fresh000
Picked022
Done077
Total2549263
Accuracy
100.0%
Counts
263 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(-.f64 (*.f64 x y) (*.f64 x z))
64.5%
(-.f64 z (*.f64 z x))
72.0%
(+.f64 (*.f64 y x) z)
64.5%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
30.5%
(*.f64 z (neg.f64 x))
70.2%
(*.f64 y (+.f64 x (/.f64 z y)))
65.6%
(*.f64 x (-.f64 y z))
38.7%
(*.f64 x y)
35.9%
z
Compiler

Compiled 159 to 79 computations (50.3% saved)

regimes20.0ms (0.2%)

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

4 calls:

6.0ms
z
5.0ms
y
4.0ms
x
4.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
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)

regimes87.0ms (1.1%)

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

4 calls:

73.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
5.0ms
y
4.0ms
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)

regimes112.0ms (1.4%)

Counts
9 → 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 y x) z)
(-.f64 z (*.f64 z x))
(-.f64 z (*.f64 y (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
Outputs
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) z)
(*.f64 x (-.f64 y z))
Calls

3 calls:

90.0ms
y
13.0ms
z
8.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
89.0%4y
87.9%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (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:

6.0ms
x
Results
AccuracySegmentsBranch
88.2%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

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:

5.0ms
x
Results
AccuracySegmentsBranch
87.9%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

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

3 calls:

7.0ms
z
6.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
60.3%6z
59.1%5y
68.5%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
61.0%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
x
0.0ms
y
0.0ms
z
Results
AccuracySegmentsBranch
35.9%1z
35.9%1y
35.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.2806530143015416
1.8748040683608986
17.0ms
-343.5984573198975
-3.6791773551361197e-19
Results
17.0ms272×0valid
Compiler

Compiled 324 to 217 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.4% of total)
ival-sub: 1.0ms (13.6% of total)
ival-add: 1.0ms (13.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.2806530143015416
1.8748040683608986
6.0ms
-3.490067360124463e-47
-2.0660883187876782e-47
Results
9.0ms160×0valid
Compiler

Compiled 198 to 143 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (69.2% of total)
ival-sub: 1.0ms (23.1% of total)
ival-add: 1.0ms (23.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.2806530143015416
1.8748040683608986
6.0ms
-3.490067360124463e-47
-2.0660883187876782e-47
Results
9.0ms160×0valid
Compiler

Compiled 158 to 113 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (45.7% of total)
ival-sub: 1.0ms (22.8% of total)
ival-add: 1.0ms (22.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch148.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
67.0ms
2.4269362739803254e+207
1.8434110096228167e+209
9.0ms
0.2806530143015416
1.8748040683608986
59.0ms
-3.490067360124463e-47
-2.0660883187876782e-47
10.0ms
-9.750621734106377e+105
-2.2625654362501993e+104
Results
132.0ms384×0valid
Compiler

Compiled 348 to 257 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (55.9% of total)
ival-sub: 2.0ms (18.6% of total)
ival-add: 2.0ms (18.6% of total)
const: 1.0ms (9.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
0.2806530143015416
1.8748040683608986
6.0ms
-3.490067360124463e-47
-2.0660883187876782e-47
Results
37.0ms160×0valid
Compiler

Compiled 138 to 103 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (67.9% of total)
ival-sub: 1.0ms (22.6% of total)
ival-add: 1.0ms (22.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify41.0ms (0.5%)

Algorithm
egg-herbie
Rules
65×unsub-neg
63×distribute-lft-neg-in
47×neg-mul-1
30×neg-sub0
25×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055426
193426
2115426
3130426
4151426
5176426
6198426
7238426
8287426
9308426
10339426
11359426
12384426
13406426
14431426
15464426
16503426
17510426
18511426
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 y z) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 y x) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) z (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -4799999999999999499936246327904888366725162508528381390666358453592958097144033690018608555685089007108096 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -6787706298949975/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) z (if (<=.f64 x #s(literal 4500000000000000032444829679204147358346563540149986697130216338828610412422554169986249477083328234119915360369498355028320503338599461815408803981974664870553890140498569076630656937586237889779682322153472 binary64)) (*.f64 x y) (*.f64 z (neg.f64 x))))))
(if (<=.f64 x #s(literal -6787706298949975/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) z (*.f64 x y)))
z
Outputs
(fma.f64 x (-.f64 y z) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 y x) z) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (-.f64 y z)) (+.f64 z (*.f64 x y)))
(if (<=.f64 x #s(literal -3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (not (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)))) (*.f64 x (-.f64 y z)) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) z (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -3496697184307563/102844034832575377634685573909834406561420991602098741459288064 binary64)) (not (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)))) (*.f64 x (-.f64 y z)) z)
(if (<=.f64 x #s(literal -4799999999999999499936246327904888366725162508528381390666358453592958097144033690018608555685089007108096 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -6787706298949975/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) z (if (<=.f64 x #s(literal 4500000000000000032444829679204147358346563540149986697130216338828610412422554169986249477083328234119915360369498355028320503338599461815408803981974664870553890140498569076630656937586237889779682322153472 binary64)) (*.f64 x y) (*.f64 z (neg.f64 x))))))
(if (<=.f64 x #s(literal -4799999999999999499936246327904888366725162508528381390666358453592958097144033690018608555685089007108096 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal -6787706298949975/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) z (if (<=.f64 x #s(literal 4500000000000000032444829679204147358346563540149986697130216338828610412422554169986249477083328234119915360369498355028320503338599461815408803981974664870553890140498569076630656937586237889779682322153472 binary64)) (*.f64 x y) (*.f64 x (neg.f64 z))))))
(if (<=.f64 x #s(literal -6787706298949975/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) z (*.f64 x y)))
(if (or (<=.f64 x #s(literal -6787706298949975/205688069665150755269371147819668813122841983204197482918576128 binary64)) (not (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)))) (*.f64 x y) z)
z

soundness1.1s (13.9%)

Rules
1182×fma-neg
767×log1p-expm1-u
767×expm1-log1p-u
588×fma-define
481×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020118
1305102
2447798
069218796
1160117869
2726517869
040399
1100387
2237379
3683351
41709339
52871337
63249337
73289337
83293337
93293317
103936317
113936317
068014460
1168413796
2592313736
Stop Event
done
node limit
saturated
node limit
node limit
Compiler

Compiled 465 to 170 computations (63.4% saved)

preprocess44.0ms (0.5%)

Compiler

Compiled 252 to 104 computations (58.7% saved)

end0.0ms (0%)

Profiling

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