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

Time bar (total: 6.8s)

analyze662.0ms (9.7%)

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
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
0%0%99.9%0.1%0%0%0%10
0%0%99.9%0.1%0%0%0%11
0%0%99.9%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (16.3%)

Samples
798.0ms8 254×0valid
0.0ms3valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 297.0ms
ival-div: 173.0ms (58.2% of total)
ival-sub: 59.0ms (19.8% of total)
ival-add: 51.0ms (17.1% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 5.0ms (1.7% of total)
...in/eval/compile.rkt:76:19: 3.0ms (1% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess244.0ms (3.6%)

Algorithm
egg-herbie
Rules
1 115×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)))

explain160.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-0-(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
00-0-(-.f64 #s(literal 1 binary64) (/.f64 y z))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
00-0-(/.f64 y z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))n/o300
(/.f64 y z)overflow30
(-.f64 #s(literal 1 binary64) (/.f64 y z))overflow30
Confusion
Predicted +Predicted -
+300
-0226
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3000
-00226
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
107.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (56.8% of total)
ival-sub: 3.0ms (21.3% of total)
ival-add: 3.0ms (21.3% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 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
88.9%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify57.0ms (0.8%)

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

localize25.0ms (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)
accuracy88.9%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Samples
17.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (55.3% of total)
ival-add: 3.0ms (33.2% of total)
ival-sub: 1.0ms (11.1% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

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
2.0ms
x
@inf
(/ (+ 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
@0
(/ (+ x y) (- 1 (/ y z)))
1.0ms
z
@inf
(/ (+ x y) (- 1 (/ y z)))

rewrite287.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
1 040×log1p-expm1-u
1 040×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)))

simplify312.0ms (4.6%)

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)))))
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(/.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)))
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))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))
(/.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 #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)))
(/.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) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))
(/.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)

eval82.0ms (1.2%)

Compiler

Compiled 4 581 to 923 computations (79.9% saved)

prune44.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New24413257
Fresh000
Picked101
Done000
Total24513258
Accuracy
100.0%
Counts
258 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal -1 binary64))
88.9%
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
44.1%
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
71.1%
(/.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))))
39.0%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
51.8%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
45.6%
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
50.4%
(+.f64 y x)
88.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
49.9%
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
48.8%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
32.7%
(neg.f64 z)
35.2%
x
Compiler

Compiled 284 to 186 computations (34.5% saved)

simplify176.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
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-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 (-.f64 z y) z)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
Rules
1 465×fma-define
885×fmm-def
549×div-sub
322×associate-/r/
291×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024404
154389
2106389
3245383
4596379
51692379
64109379
75356379
86360379
97002379
107256379
117332379
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(+.f64 x y)
x
y
(/.f64 (-.f64 z y) z)
(-.f64 z y)
z
x
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
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)
x
y
z
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
y
z
(+.f64 x y)
x
Outputs
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 (+.f64 x y) (-.f64 z y)) z)
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(/.f64 (-.f64 z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 z y)
z
x
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (-.f64 z y) z)
#s(literal 1 binary64)
(/.f64 y z)
y
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
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 z y)) z)
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 z (-.f64 z y))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (-.f64 z y) z)
(/.f64 y z)
y
z
(+.f64 x y)
x

localize69.0ms (1%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy100.0%
(+.f64 x y)
accuracy98.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy90.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
accuracy100.0%
(-.f64 (neg.f64 x) y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 (-.f64 (neg.f64 x) y) z)
accuracy89.7%
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy97.0%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 (-.f64 z y) z)
accuracy88.9%
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
Samples
42.0ms256×0valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 14.0ms (54.5% of total)
ival-sub: 5.0ms (19.5% of total)
ival-mult: 3.0ms (11.7% of total)
ival-add: 2.0ms (7.8% of total)
ival-neg: 1.0ms (3.9% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.6%)

Counts
10 → 273
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (-.f64 z y)>
#<alt (/.f64 x (-.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)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
Outputs
#<alt (/.f64 (*.f64 y z) (-.f64 z y))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
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#<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)))>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<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)>
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#<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)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt x>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
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#<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))))))))>
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#<alt (+.f64 x y)>
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#<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)>
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#<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 (/.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)))>
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#<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)))>
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#<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 #s(literal 1 binary64)>
#<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 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.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))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) y)) (pow.f64 z #s(literal 2 binary64))) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (-.f64 (+.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 y z)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) y) z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) z)) y) z)))>
Calls

72 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(/ (* (- (neg x) y) z) y)
3.0ms
x
@-inf
(/ (+ x y) (/ (- z y) z))
2.0ms
z
@inf
(/ (+ x y) (/ (- z y) z))
1.0ms
z
@0
(/ (* (- (neg x) y) z) y)
1.0ms
y
@inf
(/ x (- 1 (/ y z)))

rewrite218.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
692×log1p-expm1-u
194×expm1-log1p-u
192×add-cube-cbrt
190×add-exp-log
190×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024254
1413226
27035226
Stop Event
node limit
Counts
10 → 441
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(/.f64 (-.f64 z y) z)
(-.f64 z y)
(/.f64 x (-.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)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(+.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 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.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 z (-.f64 z y)))
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(*.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 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 z (-.f64 z y))) (+.f64 x y)))
(*.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))))
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y (-.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 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 (/.f64 y (-.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 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (/.f64 z (-.f64 z y)) (+.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 (/.f64 z (-.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (-.f64 z y))) (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))) (/.f64 z (-.f64 z y))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 (+.f64 x y) (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))))
(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 z (-.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (-.f64 z y)) #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 (-.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)))
(fma.f64 x (/.f64 z (-.f64 z y)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 (/.f64 z (-.f64 z y)) x (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 z y)))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 z y))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 z (-.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (-.f64 z y)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (-.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (-.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (-.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 z y))) (/.f64 z (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (-.f64 z y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (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 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y))) (neg.f64 z))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 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)))
(log.f64 (exp.f64 (/.f64 z (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (-.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 z y))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y (neg.f64 z)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y (neg.f64 z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (neg.f64 z)))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (-.f64 z y))))

simplify259.0ms (3.8%)

Algorithm
egg-herbie
Rules
746×times-frac
601×fma-define
425×distribute-lft-in
416×distribute-rgt-in
318×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123729150
1326926340
Stop Event
node limit
Counts
714 → 745
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) (-.f64 z y))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
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))
(-.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 #s(literal -1 binary64) 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) 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 (*.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 (*.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)
(+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))
(-.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)))
(-.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))))))
(+.f64 x y)
(+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))
(+.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))))
(+.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))))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) y)) z)
(/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) y)) z)
(/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) 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)))
(+.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)))
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(+.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 (+.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 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 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.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 (neg.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 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (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)))
(+.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 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.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 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (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 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y (-.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 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 (/.f64 y (-.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 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (/.f64 z (-.f64 z y)) (+.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 (/.f64 z (-.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (-.f64 z y))) (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))) (/.f64 z (-.f64 z y))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 (+.f64 x y) (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))))
(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 z (-.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (-.f64 z y)) #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 (-.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)))
(fma.f64 x (/.f64 z (-.f64 z y)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 (/.f64 z (-.f64 z y)) x (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 z y)))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 z y))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 z (-.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (-.f64 z y)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (-.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (-.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (-.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 z y))) (/.f64 z (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (-.f64 z y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (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 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y))) (neg.f64 z))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 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)))
(log.f64 (exp.f64 (/.f64 z (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (-.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 z y))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y (neg.f64 z)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y (neg.f64 z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (neg.f64 z)))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (-.f64 z y))))
Outputs
(/.f64 (*.f64 y z) (-.f64 z y))
(*.f64 y (/.f64 z (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
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(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 z y))) (/.f64 z (sqrt.f64 (-.f64 z y))))
(/.f64 z (-.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 z y))))
(/.f64 z (-.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (-.f64 z y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 z y))))
(/.f64 z (-.f64 z y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 z y))))
(/.f64 z (-.f64 z y))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z y))))
(/.f64 z (-.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)
(/.f64 z (-.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (+.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 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(*.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y z))
(*.f64 (+.f64 y z) (/.f64 z (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 z (+.f64 y z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 z) (+.f64 y (neg.f64 z)))
(pow.f64 (-.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)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 z (-.f64 z y)) #s(literal 1 binary64))
(/.f64 z (-.f64 z y))
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 z y))) #s(literal 3 binary64))
(/.f64 z (-.f64 z y))
(pow.f64 (pow.f64 (/.f64 z (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 z (-.f64 z y))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1/2 binary64)) #s(literal 2 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)))
(neg.f64 (/.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)))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 z (-.f64 z y))))
(/.f64 z (-.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (-.f64 z y)))))
(/.f64 z (-.f64 z y))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 z y)) #s(literal 3 binary64)))
(/.f64 z (-.f64 z y))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))))
(/.f64 z (-.f64 z y))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 z y))))
(/.f64 z (-.f64 z y))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y (neg.f64 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)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y (neg.f64 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)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (neg.f64 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)))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (-.f64 z y))))
(/.f64 z (-.f64 z y))

eval136.0ms (2%)

Compiler

Compiled 15 899 to 3 000 computations (81.1% saved)

prune153.0ms (2.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 00671 013
Fresh448
Picked325
Done000
Total1 013131 026
Accuracy
100.0%
Counts
1 026 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(/.f64 (*.f64 (neg.f64 x) z) y)
28.1%
(/.f64 (*.f64 z (neg.f64 y)) y)
19.4%
(/.f64 x (/.f64 (neg.f64 y) z))
51.8%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
3.1%
(/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
45.6%
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
50.4%
(+.f64 y x)
51.8%
(*.f64 (/.f64 z (-.f64 z y)) x)
48.8%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
40.0%
(*.f64 y (/.f64 z (-.f64 z y)))
19.4%
(*.f64 x (/.f64 (neg.f64 z) y))
32.7%
(neg.f64 z)
35.2%
x
Compiler

Compiled 216 to 142 computations (34.3% saved)

simplify76.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
cost-diff0
(*.f64 y (/.f64 z (-.f64 z y)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 z (neg.f64 y))
cost-diff256
(/.f64 (*.f64 z (neg.f64 y)) y)
cost-diff0
(neg.f64 z)
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
(*.f64 x (/.f64 (neg.f64 z) y))
cost-diff0
(neg.f64 z)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
cost-diff0
(*.f64 (/.f64 z (-.f64 z y)) x)
Rules
770×fma-define
633×fmm-def
481×div-sub
395×neg-mul-1
359×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
020268
143268
283268
3159268
4351268
51174265
63843265
76538265
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
x
(neg.f64 z)
z
(*.f64 x (/.f64 (neg.f64 z) y))
x
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(/.f64 (*.f64 z (neg.f64 y)) y)
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(*.f64 y (/.f64 z (-.f64 z y)))
y
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
Outputs
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 (*.f64 z x) (-.f64 z y))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
x
(neg.f64 z)
z
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x (neg.f64 y)))
x
(/.f64 (neg.f64 z) y)
(neg.f64 (/.f64 z y))
(/.f64 z (neg.f64 y))
(neg.f64 z)
z
y
(/.f64 (*.f64 z (neg.f64 y)) y)
(neg.f64 z)
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 y (-.f64 z y)))
(/.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y)))
y
(/.f64 z (-.f64 z y))
z
(-.f64 z y)

localize53.0ms (0.8%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(/.f64 z (-.f64 z y))
accuracy90.2%
(*.f64 y (/.f64 z (-.f64 z y)))
accuracy100.0%
(*.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy79.3%
(/.f64 (*.f64 z (neg.f64 y)) y)
accuracy100.0%
(/.f64 (neg.f64 z) y)
accuracy100.0%
(neg.f64 z)
accuracy92.7%
(*.f64 x (/.f64 (neg.f64 z) y))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(/.f64 z (-.f64 z y))
accuracy97.3%
(*.f64 (/.f64 z (-.f64 z y)) x)
Samples
31.0ms256×0valid
Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (37.3% of total)
ival-mult: 6.0ms (37.3% of total)
ival-sub: 2.0ms (12.4% of total)
ival-neg: 2.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
9 → 216
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 z (-.f64 z y)) x)>
#<alt (/.f64 z (-.f64 z y))>
#<alt (neg.f64 z)>
#<alt (*.f64 x (/.f64 (neg.f64 z) y))>
#<alt (/.f64 (neg.f64 z) y)>
#<alt (/.f64 (*.f64 z (neg.f64 y)) y)>
#<alt (*.f64 z (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (*.f64 y (/.f64 z (-.f64 z y)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 x y)) z)))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<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 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (-.f64 (+.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 y z)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) y) z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) z)) y) z)))>
#<alt #s(literal 1 binary64)>
#<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 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.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))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) y)) (pow.f64 z #s(literal 2 binary64))) y))) y))>
#<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))>
#<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))>
#<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))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<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) 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 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.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)))))))>
#<alt (*.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)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 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 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (pow.f64 z #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) y)) (pow.f64 z #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))>
#<alt y>
#<alt (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) z))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt y>
#<alt (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (pow.f64 y #s(literal 2 binary64))) z)))>
Calls

54 calls:

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

rewrite154.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
880×log1p-expm1-u
684×prod-diff
364×expm1-log1p-u
149×associate-*r*
136×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020186
1305162
24888162
Stop Event
node limit
Counts
9 → 263
Calls
Call 1
Inputs
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 z (-.f64 z y))
(neg.f64 z)
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(/.f64 (*.f64 z (neg.f64 y)) y)
(*.f64 z (neg.f64 y))
(neg.f64 y)
(*.f64 y (/.f64 z (-.f64 z y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x (+.f64 z y))))) #s(literal 1 binary64))
(/.f64 x (/.f64 (+.f64 z y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 z x)))
(/.f64 (*.f64 z x) (+.f64 z y))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) (+.f64 z y))
(/.f64 (/.f64 (*.f64 z x) (cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 z y)))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y)))
(pow.f64 (*.f64 z (/.f64 x (+.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x (+.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 x (+.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x (+.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x (+.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z (+.f64 z y))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 x (+.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x (+.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x (+.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x (+.f64 z y)))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x (+.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (+.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (+.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 z y)) (/.f64 z (+.f64 z y)))
(*.f64 z (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (/.f64 z (+.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (+.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 z (+.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 z (+.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z (+.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (+.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 z (+.f64 z y))) (sqrt.f64 (/.f64 z (+.f64 z y))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (+.f64 z y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) z)
(*.f64 #s(literal -1 binary64) (/.f64 z (+.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (+.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (+.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (/.f64 z (cbrt.f64 (+.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 z y))) (/.f64 z (sqrt.f64 (+.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 z (+.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (+.f64 z y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (+.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 z) (cbrt.f64 (+.f64 z y))))
(*.f64 (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 (/.f64 z (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (+.f64 z y))
(pow.f64 (/.f64 z (+.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (+.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 z y) z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (+.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z (+.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (+.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 z y))))
(exp.f64 (log.f64 (/.f64 z (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)))
(/.f64 (*.f64 z x) y)
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y y)))) #s(literal 1 binary64))
(*.f64 z (/.f64 y y))
(*.f64 y (/.f64 z y))
(*.f64 (*.f64 z (/.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y y)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 y y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 y y))) (sqrt.f64 (*.f64 z (/.f64 y y))))
(*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 (sqrt.f64 (*.f64 z y)) y))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y y)))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z y))
(*.f64 (/.f64 y y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 z y) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 y y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z y)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 y)))
(pow.f64 (*.f64 z (/.f64 y y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 y y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 z y)) #s(literal -1 binary64))
(neg.f64 (*.f64 z (/.f64 y y)))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 y y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (/.f64 y y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 y y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 y y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 y y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 y y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(neg.f64 (*.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(+.f64 #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 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
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 (+.f64 z y))))) #s(literal 1 binary64))
(/.f64 y (/.f64 (+.f64 z y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 z y)))
(/.f64 (*.f64 z y) (+.f64 z y))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (+.f64 z y))
(pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z (+.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z (+.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z (+.f64 z y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 z (+.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z (+.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z (+.f64 z y)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z (+.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z (+.f64 z y)))) #s(literal 1 binary64)))

simplify187.0ms (2.7%)

Algorithm
egg-herbie
Rules
472×associate-/l*
454×fma-define
278×*-commutative
270×associate-*r/
259×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076111096
1179510702
2638710699
Stop Event
node limit
Counts
479 → 456
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))
(-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 x y)) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 x y)) z)))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
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(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 z) (cbrt.f64 (+.f64 z y))))
(*.f64 (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 (/.f64 z (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (+.f64 z y))
(pow.f64 (/.f64 z (+.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (+.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 z y) z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (+.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z (+.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (+.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 z y))))
(exp.f64 (log.f64 (/.f64 z (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)))
(/.f64 (*.f64 z x) y)
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y y)))) #s(literal 1 binary64))
(*.f64 z (/.f64 y y))
(*.f64 y (/.f64 z y))
(*.f64 (*.f64 z (/.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y y)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 y y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 y y))) (sqrt.f64 (*.f64 z (/.f64 y y))))
(*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 (sqrt.f64 (*.f64 z y)) y))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y y)))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z y))
(*.f64 (/.f64 y y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 z y) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 y y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z y)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 y)))
(pow.f64 (*.f64 z (/.f64 y y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 y y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 z y)) #s(literal -1 binary64))
(neg.f64 (*.f64 z (/.f64 y y)))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 y y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (/.f64 y y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 y y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 y y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 y y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 y y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(neg.f64 (*.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(+.f64 #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 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z (+.f64 z y))))) #s(literal 1 binary64))
(/.f64 y (/.f64 (+.f64 z y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 z y)))
(/.f64 (*.f64 z y) (+.f64 z y))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (+.f64 z y))
(pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z (+.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z (+.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z (+.f64 z y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 z (+.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z (+.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z (+.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z (+.f64 z y)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z (+.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z (+.f64 z y)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 (neg.f64 (*.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 z (-.f64 (*.f64 (neg.f64 x) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))
(*.f64 z (-.f64 (/.f64 x (neg.f64 y)) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 z (-.f64 (/.f64 (neg.f64 (*.f64 x z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 (neg.f64 x) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 x y)))
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eval92.0ms (1.3%)

Compiler

Compiled 9 051 to 1 786 computations (80.3% saved)

prune105.0ms (1.5%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New6927699
Fresh156
Picked055
Done022
Total69319712
Accuracy
100.0%
Counts
712 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(/.f64 (*.f64 (neg.f64 x) z) y)
28.1%
(/.f64 (*.f64 z (neg.f64 y)) y)
3.2%
(/.f64 (*.f64 z y) y)
19.4%
(/.f64 x (/.f64 (neg.f64 y) z))
3.5%
(/.f64 x (/.f64 y z))
51.8%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
45.6%
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
50.4%
(+.f64 y x)
51.8%
(*.f64 (/.f64 z (-.f64 z y)) x)
48.8%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
46.7%
(*.f64 z (/.f64 x (-.f64 z y)))
40.0%
(*.f64 y (/.f64 z (-.f64 z y)))
23.9%
(*.f64 y (/.f64 z (neg.f64 y)))
3.4%
(*.f64 y (/.f64 z y))
19.4%
(*.f64 x (/.f64 (neg.f64 z) y))
32.7%
(neg.f64 z)
3.3%
z
18.2%
y
35.2%
x
Compiler

Compiled 255 to 166 computations (34.9% saved)

simplify61.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff0
(/.f64 x (/.f64 (neg.f64 y) z))
cost-diff0
(*.f64 z y)
cost-diff256
(/.f64 (*.f64 z y) y)
cost-diff0
(/.f64 z y)
cost-diff256
(*.f64 y (/.f64 z y))
cost-diff0
(+.f64 y x)
Rules
870×fmm-def
643×div-sub
528×distribute-rgt-neg-out
524×distribute-lft-neg-out
401×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018228
132168
251138
394138
4306138
51207138
63075138
74580138
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 y x)
y
x
y
(*.f64 y (/.f64 z y))
y
(/.f64 z y)
z
(/.f64 (*.f64 z y) y)
(*.f64 z y)
z
y
(/.f64 x (/.f64 (neg.f64 y) z))
x
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
Outputs
(+.f64 y x)
y
x
y
(*.f64 y (/.f64 z y))
(*.f64 z (/.f64 y y))
(*.f64 z #s(literal 1 binary64))
z
y
(/.f64 z y)
z
(*.f64 z (/.f64 y y))
(*.f64 z #s(literal 1 binary64))
(/.f64 (*.f64 z y) y)
(*.f64 z (/.f64 y y))
(*.f64 z #s(literal 1 binary64))
z
(*.f64 z y)
(*.f64 y z)
z
(*.f64 z (/.f64 y y))
(*.f64 z #s(literal 1 binary64))
y
(/.f64 x (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 x (neg.f64 y)) z)
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 x (/.f64 (neg.f64 z) y))
x
(/.f64 (neg.f64 y) z)
(/.f64 y (neg.f64 z))
(neg.f64 y)
y
z
(*.f64 z (/.f64 y y))
(*.f64 z #s(literal 1 binary64))

localize38.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
accuracy93.4%
(/.f64 x (/.f64 (neg.f64 y) z))
accuracy100.0%
(*.f64 z y)
accuracy79.3%
(/.f64 (*.f64 z y) y)
accuracy100.0%
(/.f64 z y)
accuracy80.3%
(*.f64 y (/.f64 z y))
accuracy100.0%
(+.f64 y x)
Samples
24.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (50.9% of total)
ival-mult: 3.0ms (21.8% of total)
ival-add: 2.0ms (14.5% of total)
ival-neg: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (+.f64 y x)>
#<alt (*.f64 y (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (/.f64 (*.f64 z y) y)>
#<alt (*.f64 z y)>
#<alt (/.f64 x (/.f64 (neg.f64 y) z))>
#<alt (/.f64 (neg.f64 y) z)>
Outputs
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<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 y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x 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 z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y 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))>
#<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))>
#<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))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
Calls

45 calls:

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

rewrite135.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1 089×log1p-expm1-u
632×prod-diff
528×expm1-log1p-u
112×add-exp-log
112×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018126
126782
2405282
Stop Event
node limit
Counts
7 → 267
Calls
Call 1
Inputs
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 z y)
(/.f64 (*.f64 z y) y)
(*.f64 z y)
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.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 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y x)
(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 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 y z) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) y)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(neg.f64 z)
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(neg.f64 (/.f64 z y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 y (/.f64 z y))
(*.f64 z #s(literal 1 binary64))
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 z y) y)
(*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z y)) 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 z y)))
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 (/.f64 z y)) 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 z y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 y)))
(*.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 (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 z))
(*.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 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(neg.f64 z)
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #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 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.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 (exp.f64 (log1p.f64 (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 (*.f64 x z) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x z) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (/.f64 x (sqrt.f64 (/.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x z) y)) (sqrt.f64 (/.f64 (*.f64 x z) y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x z) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(pow.f64 (/.f64 (*.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x z) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x z) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x z) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x z) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 x z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 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))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (neg.f64 (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 (/.f64 y z)) (neg.f64 (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 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 #s(literal -1 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 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.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)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(pow.f64 (/.f64 z y) #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 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))

simplify133.0ms (2%)

Algorithm
egg-herbie
Rules
655×associate-*r*
635×fma-define
547×exp-prod
490×associate-*l*
486×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05016438
110196371
251556350
Stop Event
node limit
Counts
423 → 297
Calls
Call 1
Inputs
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
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))))
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
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(neg.f64 (/.f64 (*.f64 x z) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x z) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x z) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x z) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 x z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 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))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (neg.f64 (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 (/.f64 y z)) (neg.f64 (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 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 #s(literal -1 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 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.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)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(pow.f64 (/.f64 z y) #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 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
Outputs
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 x y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 x y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 x y) y)
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #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)))
(fma.f64 x (/.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(+.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(neg.f64 (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 y) z))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) z)))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(+.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z #s(literal 1 binary64)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (*.f64 x z) y) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 2 binary64)))
(*.f64 x (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(*.f64 (sqrt.f64 (/.f64 z y)) (/.f64 x (sqrt.f64 (/.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x z) y)) (sqrt.f64 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 z y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 z y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(*.f64 (neg.f64 x) (/.f64 z y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 y z))))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x z) y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))
(*.f64 x (/.f64 z y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) z)
(*.f64 x (/.f64 z y))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 x (/.f64 z y))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(*.f64 x (/.f64 z y))
(pow.f64 (/.f64 (*.f64 x z) y) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 3 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x z) y)) #s(literal 2 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x (/.f64 z y))
(neg.f64 (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))
(*.f64 x (/.f64 z y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x z) y))))
(*.f64 x (/.f64 z y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) #s(literal 3 binary64)))
(*.f64 x (/.f64 z y))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(*.f64 x (/.f64 z y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x z) y)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 z y))
(exp.f64 (log.f64 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 z y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 z y))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y z))))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 y z)
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(/.f64 y z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(/.f64 y z)
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(/.f64 y z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 y z)
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(/.f64 y z)
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y z)
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(/.f64 y z)
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 y z)
(log.f64 (exp.f64 (/.f64 y z)))
(/.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(/.f64 y z)
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 y z)

eval40.0ms (0.6%)

Compiler

Compiled 3 014 to 786 computations (73.9% saved)

prune56.0ms (0.8%)

Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New3273330
Fresh167
Picked145
Done077
Total32920349
Accuracy
100.0%
Counts
349 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(/.f64 (*.f64 (neg.f64 x) z) y)
28.1%
(/.f64 (*.f64 z (neg.f64 y)) y)
3.2%
(/.f64 (*.f64 z y) y)
3.4%
(/.f64 y (/.f64 y z))
3.5%
(/.f64 x (/.f64 y z))
51.8%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
3.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
45.6%
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
50.4%
(+.f64 y x)
51.8%
(*.f64 (/.f64 z (-.f64 z y)) x)
18.1%
(*.f64 (/.f64 x y) (neg.f64 z))
48.8%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
40.0%
(*.f64 y (/.f64 z (-.f64 z y)))
23.9%
(*.f64 y (/.f64 z (neg.f64 y)))
3.4%
(*.f64 y (/.f64 z y))
19.4%
(*.f64 x (/.f64 (neg.f64 z) y))
32.7%
(neg.f64 z)
3.3%
z
18.2%
y
35.2%
x
Compiler

Compiled 368 to 171 computations (53.5% saved)

regimes41.0ms (0.6%)

Counts
31 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.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 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x 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 (-.f64 z y) z))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

4 calls:

11.0ms
z
9.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
88.9%1x
95.5%3y
95.4%3z
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.2%)

Counts
26 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.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 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

1 calls:

10.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes26.0ms (0.4%)

Counts
25 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.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 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

3 calls:

9.0ms
x
8.0ms
y
8.0ms
z
Results
AccuracySegmentsBranch
74.7%3x
77.6%3z
77.2%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
77.5%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.3%)

Counts
23 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.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)))
Outputs
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(+.f64 y x)
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
Calls

2 calls:

8.0ms
y
7.0ms
z
Results
AccuracySegmentsBranch
77.0%3y
76.8%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes23.0ms (0.3%)

Counts
22 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
Calls

3 calls:

8.0ms
x
7.0ms
y
7.0ms
z
Results
AccuracySegmentsBranch
74.7%3x
69.5%5z
72.1%4y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) x)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
74.6%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
18 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
Outputs
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 y (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 x (-.f64 z y)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
70.7%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 x (/.f64 y z))
(/.f64 y (/.f64 y z))
(/.f64 (*.f64 z y) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 y (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 z (neg.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 y (/.f64 z (-.f64 z y)))
Outputs
(neg.f64 z)
(+.f64 y x)
(neg.f64 z)
Calls

2 calls:

9.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
68.8%3y
60.3%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

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

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
48.7%3x
51.8%4z
57.3%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
y
z
Outputs
x
y
x
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
44.3%3x
37.4%2z
35.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
35.2%1z
35.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.1127269585287321e-257
0.0ms
-7.85859113267408e-247
-2.4256978610535054e-287
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.1127269585287321e-257
0.0ms
-7.85859113267408e-247
-2.4256978610535054e-287
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.676499586816073e-22
1.1753340018294982e-12
6.0ms
-7.8905601452773075e-25
-4.636967319848728e-25
Samples
11.0ms208×0valid
Compiler

Compiled 340 to 235 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (47.8% of total)
ival-sub: 2.0ms (31.8% of total)
ival-add: 1.0ms (15.9% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.676499586816073e-22
1.1753340018294982e-12
5.0ms
-7.8905601452773075e-25
-4.636967319848728e-25
Samples
12.0ms208×0valid
Compiler

Compiled 262 to 183 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.8% of total)
ival-add: 3.0ms (44.8% of total)
ival-sub: 1.0ms (14.9% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.972520144930739e-29
3.3205500671109593e-25
9.0ms
-1.2418078286376722e-79
-1.5941258675876424e-81
Samples
16.0ms240×0valid
Compiler

Compiled 300 to 209 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 7.0ms (72.1% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.1458224347809987e-124
3.580006054139466e-123
12.0ms
-3.7948710077570063e-63
-1.2268677736563914e-72
Samples
13.0ms256×0valid
Compiler

Compiled 367 to 247 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (46.3% of total)
ival-sub: 1.0ms (15.4% of total)
ival-add: 1.0ms (15.4% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.1458224347809987e-124
3.580006054139466e-123
12.0ms
-3.7948710077570063e-63
-1.2268677736563914e-72
Samples
13.0ms256×0valid
Compiler

Compiled 367 to 238 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (60% of total)
ival-sub: 1.0ms (15% of total)
ival-add: 1.0ms (15% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
2.6853785465909765e-92
9.904679917207057e-92
12.0ms
-3.7948710077570063e-63
-1.2268677736563914e-72
Samples
11.0ms224×0valid
Compiler

Compiled 323 to 210 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (52.1% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
2257966374114372000.0
3169448917676953600.0
11.0ms
-8.393069881759955e+68
-5.614108026553539e+67
Samples
7.0ms144×0valid
Compiler

Compiled 132 to 104 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.5% of total)
ival-sub: 1.0ms (26.7% of total)
ival-add: 1.0ms (26.7% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch83.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
68.0ms
7.178553905799871e-38
2.6343120263229856e-35
13.0ms
-5.54607612319786e-40
-4.0399408878065736e-51
Samples
72.0ms288×0valid
Compiler

Compiled 213 to 176 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 61.0ms (93.8% of total)
ival-add: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.5% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.148594461524114e-127
1.1458224347809987e-124
8.0ms
-2.98089929784068e-74
-6.445764826928183e-75
Samples
10.0ms208×0valid
Compiler

Compiled 145 to 118 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (55.6% of total)
ival-sub: 1.0ms (18.5% of total)
ival-add: 1.0ms (18.5% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify28.0ms (0.4%)

Algorithm
egg-herbie
Rules
18×if-if-or-not
17×*-commutative
14×+-commutative
12×sub-neg
11×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0991067
11541067
21751067
31951067
42111067
52181067
62211067
72221067
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (/.f64 (+.f64 y x) (neg.f64 y))) (/.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 -7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 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 (+.f64 y x) (neg.f64 y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 z #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 z #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y) (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 z #s(literal -3157820365026309/5444517870735015415413993718908291383296 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 1784852045121347/81129638414606681695789005144064 binary64)) (/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y) (+.f64 y x)))
(if (<=.f64 y #s(literal -8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (*.f64 z (/.f64 (+.f64 y x) (neg.f64 y))) (if (<=.f64 y #s(literal 5444517870735015/21778071482940061661655974875633165533184 binary64)) (+.f64 y x) (*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))))
(if (<=.f64 x #s(literal -7040159025628825/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 x #s(literal 4614553692807949/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 y (/.f64 z (-.f64 z y))) (*.f64 (/.f64 z (-.f64 z y)) x)))
(if (<=.f64 x #s(literal -2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (/.f64 z (-.f64 z y)) x) (if (<=.f64 x #s(literal 2604989987875455/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (*.f64 y (/.f64 z (-.f64 z y))) (*.f64 (/.f64 z (-.f64 z y)) x)))
(if (<=.f64 x #s(literal -7232837062119719/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 z (/.f64 x (-.f64 z y))) (if (<=.f64 x #s(literal 224762864367027/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (*.f64 y (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 x (-.f64 z y)))))
(if (<=.f64 y #s(literal -68000000000000003016518247861626915630835675918077013451814387843072 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 2900000000000000000 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -8741742960768907/6427752177035961102167848369364650410088811975131171341205504 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 6285626241832747/1496577676626844588240573268701473812127674924007424 binary64)) x (neg.f64 z)))
(if (<=.f64 x #s(literal -2291665473376297/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) x (if (<=.f64 x #s(literal 6706881651069515/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) y x))
x
Outputs
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(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (/.f64 (+.f64 x y) (neg.f64 y))) (/.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 -7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (/.f64 (-.f64 (neg.f64 x) y) y)) (/.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 -7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 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 (+.f64 y x) (neg.f64 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 -7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 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 (+.f64 x y) (neg.f64 y))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 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 (-.f64 (neg.f64 x) y) y)))
(if (<=.f64 z #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 z #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y) (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (or (<=.f64 z #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (not (<=.f64 z #s(literal 3565267313141895/79228162514264337593543950336 binary64)))) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 z (-.f64 (neg.f64 x) y)) y))
(if (<=.f64 z #s(literal -3157820365026309/5444517870735015415413993718908291383296 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 1784852045121347/81129638414606681695789005144064 binary64)) (/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y) (+.f64 y x)))
(if (or (<=.f64 z #s(literal -3157820365026309/5444517870735015415413993718908291383296 binary64)) (not (<=.f64 z #s(literal 1784852045121347/81129638414606681695789005144064 binary64)))) (+.f64 x y) (/.f64 (*.f64 z (-.f64 (neg.f64 x) y)) y))
(if (<=.f64 y #s(literal -8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (*.f64 z (/.f64 (+.f64 y x) (neg.f64 y))) (if (<=.f64 y #s(literal 5444517870735015/21778071482940061661655974875633165533184 binary64)) (+.f64 y x) (*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (not (<=.f64 y #s(literal 5444517870735015/21778071482940061661655974875633165533184 binary64)))) (*.f64 z (/.f64 (+.f64 x y) (neg.f64 y))) (+.f64 x y))
(if (or (<=.f64 y #s(literal -8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (not (<=.f64 y #s(literal 5444517870735015/21778071482940061661655974875633165533184 binary64)))) (*.f64 z (/.f64 (-.f64 (neg.f64 x) y) y)) (+.f64 x y))
(if (<=.f64 x #s(literal -7040159025628825/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 x #s(literal 4614553692807949/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 y (/.f64 z (-.f64 z y))) (*.f64 (/.f64 z (-.f64 z y)) x)))
(if (<=.f64 x #s(literal -7040159025628825/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 x #s(literal 4614553692807949/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 y (/.f64 z (-.f64 z y))) (*.f64 x (/.f64 z (-.f64 z y)))))
(if (<=.f64 x #s(literal -2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (/.f64 z (-.f64 z y)) x) (if (<=.f64 x #s(literal 2604989987875455/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (*.f64 y (/.f64 z (-.f64 z y))) (*.f64 (/.f64 z (-.f64 z y)) x)))
(if (or (<=.f64 x #s(literal -2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (not (<=.f64 x #s(literal 2604989987875455/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)))) (*.f64 x (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 z (-.f64 z y))))
(if (<=.f64 x #s(literal -7232837062119719/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 z (/.f64 x (-.f64 z y))) (if (<=.f64 x #s(literal 224762864367027/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (*.f64 y (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 x (-.f64 z y)))))
(if (or (<=.f64 x #s(literal -7232837062119719/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (not (<=.f64 x #s(literal 224762864367027/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)))) (*.f64 z (/.f64 x (-.f64 z y))) (*.f64 y (/.f64 z (-.f64 z y))))
(if (<=.f64 y #s(literal -68000000000000003016518247861626915630835675918077013451814387843072 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 2900000000000000000 binary64)) (+.f64 y x) (neg.f64 z)))
(if (or (<=.f64 y #s(literal -68000000000000003016518247861626915630835675918077013451814387843072 binary64)) (not (<=.f64 y #s(literal 2900000000000000000 binary64)))) (neg.f64 z) (+.f64 x y))
(if (<=.f64 y #s(literal -8741742960768907/6427752177035961102167848369364650410088811975131171341205504 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 6285626241832747/1496577676626844588240573268701473812127674924007424 binary64)) x (neg.f64 z)))
(if (or (<=.f64 y #s(literal -8741742960768907/6427752177035961102167848369364650410088811975131171341205504 binary64)) (not (<=.f64 y #s(literal 6285626241832747/1496577676626844588240573268701473812127674924007424 binary64)))) (neg.f64 z) x)
(if (<=.f64 x #s(literal -2291665473376297/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) x (if (<=.f64 x #s(literal 6706881651069515/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) y x))
x

soundness971.0ms (14.3%)

Rules
746×times-frac
692×log1p-expm1-u
601×fma-define
511×fmm-def
472×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076111096
1179510702
2638710699
024254
1413226
27035226
0123729150
1326926340
04708901
112287507
246797245
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 585 to 214 computations (63.4% saved)

preprocess157.0ms (2.3%)

Compiler

Compiled 644 to 244 computations (62.1% saved)

end0.0ms (0%)

Profiling

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