Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

Time bar (total: 6.5s)

analyze150.0ms (2.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
56.3%56.2%43.7%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
76.6%76.5%23.4%0.1%0%0%0%11
76.6%76.5%23.4%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 10.0ms (40.1% of total)
ival-sub: 7.0ms (28% of total)
ival-add: 7.0ms (28% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (15.5%)

Results
794.0ms8255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 436.0ms
ival-div: 261.0ms (59.8% of total)
ival-add: 107.0ms (24.5% of total)
ival-sub: 55.0ms (12.6% of total)
const: 11.0ms (2.5% of total)
backward-pass: 2.0ms (0.5% of total)
Bogosity

preprocess247.0ms (3.8%)

Algorithm
egg-herbie
Rules
1115×fmm-def
368×times-frac
295×fma-define
257×div-sub
206×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042443
194411
2174407
3390407
41214407
52651407
63866407
74844407
85002407
95084407
105144407
115212407
125212407
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))))
(neg.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 y (neg.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (neg.f64 (+.f64 y (neg.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 y x) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))))
(/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))))
(/.f64 (+.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))))
(/.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 z y)))

explain75.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-0-(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
00-0-x
00-0-(/.f64 y z)
00-0-z
00-0-(+.f64 x y)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (/.f64 y z))
Results
50.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 11.0ms (42.7% of total)
ival-add: 11.0ms (42.7% of total)
ival-sub: 3.0ms (11.6% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
91.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify60.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Rules
244×fmm-def
209×fma-define
93×div-sub
60×times-frac
50×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01495
12395
23195
34295
45995
57795
610595
713695
817695
925895
1038695
1155495
1283995
13110795
14125495
15133195
16133595
17134795
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z

localize29.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy100.0%
(+.f64 x y)
accuracy91.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
21.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 6.0ms (65.9% of total)
ival-add: 2.0ms (22% of total)
ival-sub: 1.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series72.0ms (1.1%)

Counts
4 → 78
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (+.f64 x y)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (/.f64 y z)>
Outputs
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))) y)) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) z)) (*.f64 y (+.f64 x y))) z))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) z) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)))) z)) (*.f64 y (+.f64 x y))) z))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (/.f64 (-.f64 z y) z)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
Calls

27 calls:

TimeVariablePointExpression
60.0ms
z
@0
(/ (+ x y) (- 1 (/ y z)))
1.0ms
y
@inf
(/ (+ x y) (- 1 (/ y z)))
1.0ms
x
@0
(/ (+ x y) (- 1 (/ y z)))
1.0ms
z
@inf
(/ (+ x y) (- 1 (/ y z)))
1.0ms
x
@inf
(/ (+ x y) (- 1 (/ y z)))

rewrite281.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
1040×log1p-expm1-u
1040×expm1-log1p-u
836×prod-diff
85×add-cube-cbrt
84×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01482
118582
2273182
Stop Event
node limit
Counts
4 → 137
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 y z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 y z))) (neg.f64 (/.f64 y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 y z)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 y z))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (neg.f64 (/.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(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)))

simplify225.0ms (3.5%)

Algorithm
egg-herbie
Rules
511×fmm-def
457×distribute-lft-neg-in
427×distribute-rgt-neg-in
266×sub-neg
214×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04708901
112287507
246797245
Stop Event
node limit
Counts
215 → 257
Calls
Call 1
Inputs
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 y z))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (neg.f64 (/.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
Outputs
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) z)) (neg.f64 (/.f64 x z))))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (/.f64 x z))) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) z)))) (neg.f64 (/.f64 x z))))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) (/.f64 x z))) x)
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) (/.f64 x z))) x)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) (*.f64 z (/.f64 (-.f64 (neg.f64 (*.f64 z x)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (-.f64 (-.f64 (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (/.f64 x y))) z) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 z x)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (-.f64 (neg.f64 (*.f64 z x)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (/.f64 x y))) z) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y))) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(-.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (-.f64 (fma.f64 x z (*.f64 z (/.f64 (-.f64 (*.f64 z x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y)))
(-.f64 (neg.f64 z) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (+.f64 x (/.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) y)))) y))
(-.f64 (/.f64 (fma.f64 z (+.f64 x (/.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))) y)) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y))) (*.f64 z (-.f64 (*.f64 z x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) y) (*.f64 z x)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y)))
(-.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) (*.f64 z (fma.f64 z x (pow.f64 z #s(literal 2 binary64))))) y) (fma.f64 z x (pow.f64 z #s(literal 2 binary64)))) y))
(-.f64 (/.f64 (+.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 z (fma.f64 z x (pow.f64 z #s(literal 2 binary64))))) y)) (neg.f64 y)) z)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(neg.f64 (*.f64 z (/.f64 (+.f64 y x) y)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))
(*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 y x) y))))
(*.f64 (neg.f64 z) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 y x) y)))
(*.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 y x) (neg.f64 y))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) y) (*.f64 z (-.f64 (*.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (-.f64 (*.f64 z (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 y x) y)))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 y z)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 y z)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 y z))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(neg.f64 (neg.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(log.f64 (exp.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(log1p.f64 (expm1.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)

eval86.0ms (1.3%)

Compiler

Compiled 4581 to 923 computations (79.9% saved)

prune175.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New24710257
Fresh000
Picked101
Done000
Total24810258
Accuracy
100.0%
Counts
258 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -1 binary64))))
91.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
38.8%
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
70.0%
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
41.3%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
51.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
51.5%
(+.f64 y x)
47.6%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
31.8%
(neg.f64 z)
35.8%
x
Compiler

Compiled 210 to 140 computations (33.3% saved)

simplify233.0ms (3.6%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(-.f64 (neg.f64 x) y)
cost-diff0
(*.f64 (-.f64 (neg.f64 x) y) z)
cost-diff64
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
cost-diff-128
(/.f64 y z)
cost-diff-128
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 x y)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
cost-diff128
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
Rules
1067×fmm-def
696×fma-define
596×div-sub
592×associate-/r*
354×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024327
147297
289297
3215294
4505290
51259290
62655290
74764290
85556290
95951290
106032290
116065290
126483290
137247290
147821290
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal 1 binary64) z)
z
x
(+.f64 y x)
y
x
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(*.f64 (-.f64 (neg.f64 x) y) z)
(-.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(/.f64 #s(literal 1 binary64) z)
z
x
(+.f64 y x)
(+.f64 x y)
y
x
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) z)))
#s(literal 1 binary64)
(/.f64 y z)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
z
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y))
(*.f64 z (/.f64 (-.f64 (neg.f64 x) y) y))
(*.f64 z (+.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (-.f64 (neg.f64 x) y) z)
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 (+.f64 x y) (neg.f64 z))
(-.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z

localize81.0ms (1.2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (neg.f64 x) y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 (-.f64 (neg.f64 x) y) z)
accuracy82.6%
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy91.5%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
accuracy100.0%
(+.f64 x y)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy91.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
Results
59.0ms256×0valid
Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 11.0ms (47.7% of total)
ival-sub: 4.0ms (17.3% of total)
ival-mult: 4.0ms (17.3% of total)
ival-add: 3.0ms (13% of total)
ival-neg: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.3%)

Counts
9 → 240
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) y)>
#<alt (+.f64 y x)>
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)>
#<alt (*.f64 (-.f64 (neg.f64 x) y) z)>
#<alt (-.f64 (neg.f64 x) y)>
#<alt (neg.f64 x)>
Outputs
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt x>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) y)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) y)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) y)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y 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 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) y) x)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) y) x)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) y) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x 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 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
Calls

60 calls:

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

rewrite180.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1147×log1p-expm1-u
359×expm1-log1p-u
162×add-cube-cbrt
160×add-exp-log
159×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024196
1420180
25710180
Stop Event
node limit
Counts
9 → 329
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(+.f64 y x)
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(*.f64 (-.f64 (neg.f64 x) y) z)
(-.f64 (neg.f64 x) y)
(neg.f64 x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z)) (/.f64 (neg.f64 y) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z))) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) z)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(/.f64 y z)
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 y #s(literal 1 binary64)) z)
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(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)))
(-.f64 y x)
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
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(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 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)))

simplify172.0ms (2.6%)

Algorithm
egg-herbie
Rules
727×times-frac
573×associate-*r*
416×fma-define
300×distribute-rgt-in
298×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092119101
1232917307
Stop Event
node limit
Counts
569 → 575
Calls
Call 1
Inputs
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
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x
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(*.f64 #s(literal -1 binary64) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 #s(literal -1 binary64) z)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(+.f64 x y)
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(+.f64 x y)
(+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))
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(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
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(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))
(/.f64 y z)
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(/.f64 y z)
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(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
x
(+.f64 x y)
(+.f64 x y)
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y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
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(*.f64 #s(literal -1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
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y
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y
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(*.f64 #s(literal -1 binary64) z)
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(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (-.f64 x y) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (-.f64 x y) y)))
(*.f64 z (/.f64 (-.f64 x y) y))
(*.f64 z (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 x y) (/.f64 z y))
(*.f64 (*.f64 z (-.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z (/.f64 (-.f64 x y) y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))) (sqrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) (/.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) y))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 z (neg.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 z y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z (-.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 z (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) (cbrt.f64 y)))
(pow.f64 (*.f64 z (/.f64 (-.f64 x y) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 x y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (-.f64 x y) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y z) (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z (-.f64 x y)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 z (neg.f64 (-.f64 x y))) y))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 x y) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 (-.f64 x y) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 x y) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (-.f64 x y) y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (-.f64 x y) y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (-.f64 x y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (-.f64 x y) y))) #s(literal 1 binary64)))
(+.f64 (*.f64 z x) (*.f64 z (neg.f64 y)))
(+.f64 (*.f64 x z) (*.f64 (neg.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (+.f64 x y))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(pow.f64 (*.f64 z (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 x y))) #s(literal 1 binary64)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) x)
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(neg.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal -1 binary64) x (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(+.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 #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 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.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 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 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)))
Outputs
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
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x
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(-.f64 x y)
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(-.f64 x y)
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 x y)
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(-.f64 x y)
(neg.f64 (+.f64 x y))
(-.f64 (neg.f64 x) y)
(-.f64 (neg.f64 y) x)
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (-.f64 x y))
(log.f64 (exp.f64 (-.f64 x y)))
(-.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(-.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x y))))
(-.f64 (neg.f64 x) y)
(-.f64 (neg.f64 y) x)
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(-.f64 x y)
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (log.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(-.f64 x y)
(fma.f64 #s(literal -1 binary64) x (neg.f64 y))
(-.f64 (neg.f64 x) y)
(-.f64 (neg.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(-.f64 x 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 #s(literal -1 binary64) x)
(neg.f64 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 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.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 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 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

eval108.0ms (1.7%)

Compiler

Compiled 10110 to 2029 computations (79.9% saved)

prune106.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New7027709
Fresh145
Picked235
Done000
Total70514719
Accuracy
100.0%
Counts
719 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
24.3%
(/.f64 (*.f64 (neg.f64 y) z) y)
17.5%
(/.f64 (*.f64 (neg.f64 x) z) y)
24.8%
(/.f64 y (/.f64 (neg.f64 y) z))
41.3%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
41.2%
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
51.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
18.3%
(-.f64 y x)
51.5%
(+.f64 y x)
18.3%
(*.f64 (neg.f64 x) (/.f64 z y))
47.6%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
31.8%
(neg.f64 z)
18.8%
y
35.8%
x
Compiler

Compiled 228 to 152 computations (33.3% saved)

simplify65.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff256
(/.f64 (*.f64 (neg.f64 y) z) y)
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff256
(/.f64 y (/.f64 (neg.f64 y) z))
cost-diff0
(-.f64 y x)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff0
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
Rules
758×distribute-lft-neg-out
696×fmm-def
661×distribute-rgt-neg-out
458×div-sub
370×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025350
157350
2138314
3359314
4995314
52883314
63930314
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y x)
y
x
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
#s(literal 2 binary64)
y
(-.f64 y x)
y
x
(/.f64 y (/.f64 (neg.f64 y) z))
y
(/.f64 (neg.f64 y) z)
(neg.f64 y)
z
(/.f64 (*.f64 (neg.f64 y) z) y)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
Outputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y x)
y
x
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
#s(literal 2 binary64)
y
(-.f64 y x)
y
x
(/.f64 y (/.f64 (neg.f64 y) z))
(neg.f64 z)
y
(/.f64 (neg.f64 y) z)
(/.f64 y (neg.f64 z))
(neg.f64 y)
z
(/.f64 (*.f64 (neg.f64 y) z) y)
(/.f64 y (/.f64 (neg.f64 y) z))
(neg.f64 z)
(*.f64 (neg.f64 y) z)
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 y)
y
z

localize76.0ms (1.2%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
accuracy75.6%
(/.f64 (*.f64 (neg.f64 y) z) y)
accuracy100.0%
(/.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
accuracy76.5%
(/.f64 y (/.f64 (neg.f64 y) z))
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy99.9%
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy99.7%
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
accuracy70.3%
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
Results
50.0ms256×0valid
Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 9.0ms (34.7% of total)
ival-add: 6.0ms (23.2% of total)
ival-mult: 4.0ms (15.4% of total)
ival-sub: 3.0ms (11.6% of total)
ival-pow: 3.0ms (11.6% of total)
ival-neg: 1.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.4%)

Counts
10 → 240
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))>
#<alt (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (-.f64 y x)>
#<alt (/.f64 y (/.f64 (neg.f64 y) z))>
#<alt (/.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
#<alt (/.f64 (*.f64 (neg.f64 y) z) y)>
#<alt (*.f64 (neg.f64 y) z)>
#<alt (pow.f64 (/.f64 y z) #s(literal 2 binary64))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
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#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
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#<alt (/.f64 (+.f64 y z) z)>
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#<alt #s(literal 1 binary64)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
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#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
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#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
1.0ms
x
@-inf
(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
1.0ms
x
@inf
(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
1.0ms
y
@inf
(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
1.0ms
y
@0
(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))

rewrite214.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
778×log1p-expm1-u
189×add-cube-cbrt
188×expm1-log1p-u
186×add-exp-log
185×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025249
1409205
26890205
Stop Event
node limit
Counts
10 → 446
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 y x)
(/.f64 y (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
(/.f64 (*.f64 (neg.f64 y) z) y)
(*.f64 (neg.f64 y) z)
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 y x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 (+.f64 y x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 1 binary64)))
(+.f64 y (+.f64 x (*.f64 (+.f64 y x) (/.f64 y z))))
(+.f64 x (+.f64 y (*.f64 (+.f64 y x) (/.f64 y z))))
(+.f64 (+.f64 y x) (*.f64 (+.f64 y x) (/.f64 y z)))
(+.f64 (+.f64 y x) (*.f64 (*.f64 (+.f64 y x) (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 y x) (/.f64 y z)) (+.f64 y x))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) y))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (*.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z))) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z))) (-.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 y x) (/.f64 y z)) (*.f64 (+.f64 y x) (/.f64 y z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (/.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y x) (/.f64 y z)) (*.f64 (+.f64 y x) (/.f64 y z)))) (-.f64 (+.f64 y x) (*.f64 (+.f64 y x) (/.f64 y z))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z))))
(pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 (+.f64 y x) #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (+.f64 y x) (/.f64 y z)))
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(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
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(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
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(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)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
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(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y z)) (*.f64 y (/.f64 z y)))
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(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z y)))
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(*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y z)) y))
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(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 z y))) (sqrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 (sqrt.f64 (*.f64 y z)) y))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 y z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z y)))
(*.f64 (/.f64 z y) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z y)))
(*.f64 (/.f64 y y) z)
(*.f64 (/.f64 y y) (neg.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (/.f64 y (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y z)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (*.f64 (/.f64 y y) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 y y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 y y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 y z)) #s(literal -1 binary64))
(neg.f64 (*.f64 y (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #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 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 y z) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(/.f64 y (*.f64 (/.f64 z y) z))
(/.f64 y (*.f64 (/.f64 z y) (neg.f64 z)))
(/.f64 y (*.f64 z (/.f64 z y)))
(/.f64 y (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 y z) y) z)
(/.f64 (*.f64 (/.f64 y z) y) (neg.f64 z))
(/.f64 (*.f64 y (/.f64 y z)) z)
(/.f64 (*.f64 y (/.f64 y z)) (neg.f64 z))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))) #s(literal 1 binary64)))

simplify206.0ms (3.2%)

Algorithm
egg-herbie
Rules
732×times-frac
584×fma-define
461×distribute-lft-in
456×distribute-rgt-in
432×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098922142
1261319344
Stop Event
node limit
Counts
686 → 604
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) z)
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(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y z))
(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)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y z)) (*.f64 y (/.f64 z y)))
(*.f64 y (/.f64 z y))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z y)))
(*.f64 z (/.f64 y y))
(*.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y z)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 z y))) (sqrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 (sqrt.f64 (*.f64 y z)) y))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 y z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z y)))
(*.f64 (/.f64 z y) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z y)))
(*.f64 (/.f64 y y) z)
(*.f64 (/.f64 y y) (neg.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (/.f64 y (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y z)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (*.f64 (/.f64 y y) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 y y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 y y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 y (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 y z)) #s(literal -1 binary64))
(neg.f64 (*.f64 y (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #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 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 y z) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(/.f64 y (*.f64 (/.f64 z y) z))
(/.f64 y (*.f64 (/.f64 z y) (neg.f64 z)))
(/.f64 y (*.f64 z (/.f64 z y)))
(/.f64 y (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 y z) y) z)
(/.f64 (*.f64 (/.f64 y z) y) (neg.f64 z))
(/.f64 (*.f64 y (/.f64 y z)) z)
(/.f64 (*.f64 y (/.f64 y z)) (neg.f64 z))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z))) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (/.f64 x z))) x)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))
(fma.f64 #s(literal -1 binary64) z (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))))
(-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)))) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 y #s(literal 3 binary64)))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 y #s(literal 3 binary64))))) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))
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eval85.0ms (1.3%)

Compiler

Compiled 12800 to 2178 computations (83% saved)

prune116.0ms (1.8%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New7003703
Fresh066
Picked235
Done033
Total70215717
Accuracy
100.0%
Counts
717 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
24.3%
(/.f64 (*.f64 (neg.f64 y) z) y)
17.5%
(/.f64 (*.f64 (neg.f64 x) z) y)
24.8%
(/.f64 y (/.f64 (neg.f64 y) z))
41.3%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
41.2%
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
51.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
51.5%
(+.f64 y x)
18.3%
(*.f64 (neg.f64 x) (/.f64 z y))
47.6%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
31.8%
(neg.f64 z)
3.0%
(neg.f64 x)
3.2%
z
18.8%
y
35.8%
x
Compiler

Compiled 216 to 143 computations (33.8% saved)

simplify96.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(+.f64 y x)
cost-diff64
(/.f64 (+.f64 y x) (neg.f64 y))
cost-diff64
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(/.f64 (*.f64 (neg.f64 x) z) y)
cost-diff0
(neg.f64 z)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff512
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
Rules
589×fma-define
532×fmm-def
424×associate-/r*
339×sub-neg
330×div-sub
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
026428
164428
2172428
3451428
41167428
52927414
64262378
77684378
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y x)
y
x
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 z y)
z
(neg.f64 z)
z
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
z
(/.f64 (+.f64 y x) (neg.f64 y))
(+.f64 y x)
y
x
(neg.f64 y)
Outputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(*.f64 (+.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z y) z)))))
(*.f64 (+.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 y z))))
(*.f64 (+.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 y z)))))
(*.f64 (+.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 z z))))))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y x)
y
x
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z y) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 z z))))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 y (*.f64 (/.f64 z y) z))
(*.f64 (/.f64 y z) (/.f64 y z))
(*.f64 y (/.f64 y (*.f64 z z)))
(/.f64 z y)
z
(neg.f64 z)
z
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
x
z
y
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(*.f64 (+.f64 y x) (/.f64 z (neg.f64 y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
z
(/.f64 (+.f64 y x) (neg.f64 y))
(/.f64 (-.f64 (neg.f64 x) y) y)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 y x)
y
x
(neg.f64 y)

localize74.0ms (1.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(/.f64 (+.f64 y x) (neg.f64 y))
accuracy96.2%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy90.5%
(/.f64 (*.f64 (neg.f64 x) z) y)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy99.9%
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy99.8%
(/.f64 (/.f64 y z) (/.f64 z y))
accuracy70.3%
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
Results
52.0ms256×0valid
Compiler

Compiled 107 to 20 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 12.0ms (45.6% of total)
ival-mult: 5.0ms (19% of total)
ival-add: 3.0ms (11.4% of total)
ival-neg: 3.0ms (11.4% of total)
ival-sub: 2.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.4%)

Counts
7 → 192
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))>
#<alt (neg.f64 z)>
#<alt (/.f64 (*.f64 (neg.f64 x) z) y)>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))>
#<alt (/.f64 (+.f64 y x) (neg.f64 y))>
#<alt (/.f64 (/.f64 y z) (/.f64 z y))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (+.f64 x (+.f64 y (+.f64 (/.f64 (*.f64 y (+.f64 x y)) z) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 x (+.f64 y (+.f64 (/.f64 (*.f64 y (+.f64 x y)) z) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) z))) z))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x y))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) z) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)))) z))) z))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
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#<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 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) y)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
Calls

48 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* z (/ (+ y x) (neg y)))
3.0ms
y
@-inf
(* z (/ (+ y x) (neg y)))
1.0ms
z
@0
(/ (* (neg x) z) y)
1.0ms
y
@-inf
(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (/ (/ y z) (/ z y))))
1.0ms
y
@0
(/ (* (neg x) z) y)

rewrite181.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
345×log1p-expm1-u
205×add-cube-cbrt
205×expm1-log1p-u
203×add-exp-log
202×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026222
1450154
27893154
Stop Event
node limit
Counts
7 → 267
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(neg.f64 z)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (+.f64 y x) (neg.f64 y))
(/.f64 (/.f64 y z) (/.f64 z y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (/.f64 y z) (cbrt.f64 (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (/.f64 y z) (sqrt.f64 (/.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) (/.f64 z y)))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (*.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y z)) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) z) (/.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 z y)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 z y)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify234.0ms (3.6%)

Algorithm
egg-herbie
Rules
877×fmm-def
460×associate-*r*
437×associate-*l*
365×associate-*r/
339×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074416337
1192614395
2767914391
Stop Event
node limit
Counts
459 → 438
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
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(*.f64 #s(literal -1 binary64) z)
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(+.f64 x y)
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(pow.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z))) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64))) (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64))))) (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (/.f64 x z))) x)
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (/.f64 x z))) x)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))
(*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))))
(-.f64 (neg.f64 z) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (neg.f64 (fma.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 y #s(literal 3 binary64)))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (-.f64 (neg.f64 (fma.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))
(fma.f64 #s(literal -1 binary64) z (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) y)))
(-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (neg.f64 x) z)) y))) y) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(fma.f64 #s(literal -1 binary64) z (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) y))) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (neg.f64 x) z))) y))) y) z)
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 y (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 y (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 y (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))

eval259.0ms (4%)

Compiler

Compiled 14810 to 2479 computations (83.3% saved)

prune182.0ms (2.8%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New7823785
Fresh044
Picked235
Done066
Total78416800
Accuracy
100.0%
Counts
800 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(/.f64 (*.f64 (neg.f64 y) z) y)
17.5%
(/.f64 (*.f64 (neg.f64 x) z) y)
45.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
24.8%
(/.f64 y (/.f64 (neg.f64 y) z))
41.3%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
41.2%
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
51.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
51.5%
(+.f64 y x)
18.3%
(*.f64 (neg.f64 x) (/.f64 z y))
17.8%
(*.f64 z (/.f64 x (neg.f64 y)))
47.6%
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
31.8%
(neg.f64 z)
3.0%
(neg.f64 x)
3.2%
z
18.8%
y
35.8%
x
Compiler

Compiled 311 to 144 computations (53.7% saved)

regimes39.0ms (0.6%)

Counts
24 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 x)
(neg.f64 z)
(+.f64 y x)
(-.f64 y x)
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(/.f64 y (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 (neg.f64 x) z) y)
(/.f64 (*.f64 (neg.f64 y) z) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

4 calls:

12.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
11.0ms
y
7.0ms
z
7.0ms
x
Results
AccuracySegmentsBranch
91.3%1x
96.2%3y
91.3%1z
99.8%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.3%)

Counts
18 → 4
Calls
Call 1
Inputs
x
y
z
(neg.f64 x)
(neg.f64 z)
(+.f64 y x)
(-.f64 y x)
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(/.f64 y (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 (neg.f64 x) z) y)
(/.f64 (*.f64 (neg.f64 y) z) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
Outputs
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 y x)
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
Calls

3 calls:

9.0ms
x
6.0ms
y
6.0ms
z
Results
AccuracySegmentsBranch
76.1%3z
72.1%4x
78.3%4y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 x)
(neg.f64 z)
(+.f64 y x)
(-.f64 y x)
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(/.f64 y (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 (neg.f64 x) z) y)
(/.f64 (*.f64 (neg.f64 y) z) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
Outputs
(+.f64 y x)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 y x)
Calls

2 calls:

7.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
76.1%3z
75.4%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.4%)

Counts
12 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 x)
(neg.f64 z)
(+.f64 y x)
(-.f64 y x)
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(/.f64 y (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 (neg.f64 x) z) y)
(/.f64 (*.f64 (neg.f64 y) z) y)
Outputs
(neg.f64 z)
(+.f64 y x)
(neg.f64 z)
Calls

3 calls:

15.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
51.5%1x
68.7%3y
67.0%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
49.0%3z
58.3%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

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

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
35.8%1z
44.0%3x
41.6%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes59.0ms (0.9%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

56.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
35.8%1z
35.8%1y
35.8%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
9.460132314120485e-306
0.0ms
-6.337159358974636e-255
-6.535620317059386e-276
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch38.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.494870162700137e-53
2.9963199149165214e-50
13.0ms
-3.883577739869937e-133
-3.0202217969209473e-136
12.0ms
-3.2264283580770556e-39
-1.3969511226895108e-42
Results
23.0ms384×0valid
Compiler

Compiled 482 to 349 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 6.0ms (51.1% of total)
ival-add: 3.0ms (25.5% of total)
ival-sub: 2.0ms (17% of total)
const: 1.0ms (8.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch97.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.404484969292375e+89
9.910436420057631e+97
82.0ms
-1.839473444360487e-70
-3.8053384338993356e-73
Results
86.0ms272×0valid
Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (53.4% of total)
ival-add: 2.0ms (26.7% of total)
ival-sub: 1.0ms (13.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
8.804153786979058e+76
1.209909767511367e+87
16.0ms
-3.7770326496504256e+145
-5.37874354679417e+130
Results
20.0ms320×0valid
Compiler

Compiled 278 to 213 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (57.3% of total)
ival-sub: 2.0ms (22.9% of total)
ival-add: 2.0ms (22.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.494870162700137e-53
2.9963199149165214e-50
11.0ms
-3.2264283580770556e-39
-1.3969511226895108e-42
Results
17.0ms256×0valid
Compiler

Compiled 194 to 157 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (50.7% of total)
ival-div: 4.0ms (40.6% of total)
ival-sub: 1.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch79.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
9.469807053566518e-159
2.404506339843888e-154
10.0ms
-4.262275117726644e-215
-7.693789178498196e-217
Results
13.0ms240×0valid
Compiler

Compiled 168 to 133 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (47.3% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×if-if-or-not
+-commutative
sub-neg
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064502
193502
2107502
3116502
4122502
5124502
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/264147265567832623176169892458258303259423663018060761063980354513336951278362429737208627943828593947337197496628564339441173779751342768625269489231469788454193341999502542084365758838213220526512116454105594202074014146375780869419198449383518238244769290448868999168 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -4290987514424489/12259964326927110866866776217202473468949912977468817408 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -4173573025067581/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (+.f64 y x) (if (<=.f64 y #s(literal 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 z #s(literal -1398721602402525/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 850000000000000045012333702925103153016584209632516935956053517738551449980590319856517120 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 y x)))
(if (<=.f64 y #s(literal -480000000000000010728562732548892768084723646446740458902984148587212713291632492606857768568468828560487323400205997777740090157563904 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 235999999999999987320011988816327182180188317063511598885284923323793369270870605824 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -1777694827404431/6129982163463555433433388108601236734474956488734408704 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 6108112916776317/210624583337114373395836055367340864637790190801098222508621955072 binary64)) x (neg.f64 z)))
(if (<=.f64 x #s(literal -4075359992289361/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616 binary64)) x (if (<=.f64 x #s(literal 1358626472935755/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) y x))
x
Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/264147265567832623176169892458258303259423663018060761063980354513336951278362429737208627943828593947337197496628564339441173779751342768625269489231469788454193341999502542084365758838213220526512116454105594202074014146375780869419198449383518238244769290448868999168 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/264147265567832623176169892458258303259423663018060761063980354513336951278362429737208627943828593947337197496628564339441173779751342768625269489231469788454193341999502542084365758838213220526512116454105594202074014146375780869419198449383518238244769290448868999168 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
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x

soundness847.0ms (13%)

Rules
1040×log1p-expm1-u
1040×expm1-log1p-u
877×fmm-def
836×prod-diff
778×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04708901
112287507
246797245
01482
118582
2273182
074416337
1192614395
2767914391
025249
1409205
26890205
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 514 to 182 computations (64.6% saved)

preprocess65.0ms (1%)

Compiler

Compiled 370 to 166 computations (55.1% saved)

end0.0ms (0%)

Profiling

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