Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

Time bar (total: 10.6s)

analyze117.0ms (1.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.3s (12.2%)

Results
995.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 609.0ms
ival-div: 174.0ms (28.6% of total)
...in/eval/compile.rkt:71:19: 142.0ms (23.3% of total)
ival-mult: 117.0ms (19.2% of total)
ival-sub: 68.0ms (11.2% of total)
ival-exp: 58.0ms (9.5% of total)
ival-add: 39.0ms (6.4% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 5.0ms (0.8% of total)
Bogosity

preprocess195.0ms (1.9%)

Algorithm
egg-herbie
Rules
739×fma-define
734×fmm-def
137×distribute-lft-neg-in
122×cancel-sign-sub-inv
117×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
052578
1129538
2246538
3552526
41099510
52065506
63053506
73762506
83940506
94007506
104029506
114029506
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y))))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y)))))
(neg.f64 (+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(neg.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y)))))
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 y)) (*.f64 x z))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(neg.f64 (+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(neg.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y)))))
(-.f64 (neg.f64 x) (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (+.f64 (*.f64 x y) (neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(-.f64 (/.f64 y (fma.f64 x y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 y (/.f64 x (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 z y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 y z))))
(+.f64 z (/.f64 (neg.f64 y) (fma.f64 y z (*.f64 (exp.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 z (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 y)) (*.f64 x z))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)))))

explain312.0ms (3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-1(3.965090343114894e-246 2.3170149636677226e-71 -1.4691523271156764e+76)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
10-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-y
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u90
(exp.f64 z)underflow61
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow61
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow9
(*.f64 x y)underflow27
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue10
(exp.f64 z)overflow59
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow59
(*.f64 x y)overflow29
Confusion
Predicted +Predicted -
+101
-0245
Precision
1.0
Recall
0.9090909090909091
Confusion?
Predicted +Predicted MaybePredicted -
+1001
-00245
Precision?
1.0
Recall?
0.9090909090909091
Freqs
test
numberfreq
0246
110
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
57.0ms512×0valid
Compiler

Compiled 120 to 44 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
...in/eval/compile.rkt:71:19: 8.0ms (26.7% of total)
ival-mult: 8.0ms (26.7% of total)
ival-div: 4.0ms (13.3% of total)
ival-exp: 4.0ms (13.3% of total)
ival-sub: 2.0ms (6.7% of total)
ival-add: 2.0ms (6.7% of total)
ival-true: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune55.0ms (0.5%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
96.0%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify50.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff6272
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff-6272
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
cost-diff0
(*.f64 x y)
cost-diff0
(exp.f64 z)
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Rules
243×fma-define
182×fmm-def
42×cancel-sign-sub-inv
38×associate-*l*
35×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023321
136321
259321
390313
4146313
5252313
6399313
7578313
8809313
91020313
101035313
111108313
121113313
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
y
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y))))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y)))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
x
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
y
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)

localize75.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy100.0%
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy100.0%
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
accuracy87.2%
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
accuracy100.0%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy99.7%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy87.2%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Results
49.0ms256×0valid
Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
...in/eval/compile.rkt:71:19: 8.0ms (28.7% of total)
ival-div: 7.0ms (25.1% of total)
ival-mult: 5.0ms (17.9% of total)
ival-fma: 3.0ms (10.8% of total)
ival-exp: 2.0ms (7.2% of total)
ival-sub: 2.0ms (7.2% of total)
ival-add: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series453.0ms (4.3%)

Counts
10 → 212
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))>
#<alt (exp.f64 z)>
#<alt (*.f64 x y)>
#<alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))>
#<alt (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))>
#<alt (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))>
#<alt (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))>
#<alt (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))>
Outputs
#<alt #s(literal 5641895835477563/5000000000000000 binary64)>
#<alt (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))>
#<alt (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))>
#<alt (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))>
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Calls

69 calls:

TimeVariablePointExpression
405.0ms
y
@0
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
11.0ms
x
@-inf
(- x (/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))))
1.0ms
z
@0
(- x (/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))))
1.0ms
z
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
x
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

rewrite512.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
1106×log1p-expm1-u
867×expm1-log1p-u
147×add-exp-log
147×add-log-exp
147×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023283
1318283
24831283
Stop Event
node limit
Counts
10 → 278
Calls
Call 1
Inputs
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(exp.f64 z)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(exp.f64 (+.f64 z (log.f64 #s(literal -5641895835477563/5000000000000000 binary64))))
(exp.f64 (*.f64 (+.f64 z (log.f64 #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 z))) #s(literal 1 binary64))
(*.f64 (exp.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 z))
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(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 z)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(*.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))))
(*.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))
(pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(exp.f64 (log.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y)))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))

simplify588.0ms (5.6%)

Algorithm
egg-herbie
Rules
598×fma-define
457×times-frac
391×associate-*r*
319×associate-*l*
279×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105227383
1284026477
Stop Event
node limit
Counts
490 → 658
Calls
Call 1
Inputs
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
x
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(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y)))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))
Outputs
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z))))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(fma.f64 x (fma.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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eval229.0ms (2.2%)

Compiler

Compiled 16274 to 2722 computations (83.3% saved)

prune101.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6827689
Fresh000
Picked202
Done000
Total6847691
Accuracy
100.0%
Counts
691 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
77.3%
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
65.2%
(-.f64 x (/.f64 y (*.f64 y x)))
96.5%
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
68.7%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
13.3%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
68.4%
x
Compiler

Compiled 152 to 104 computations (31.6% saved)

simplify174.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff-6272
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff-6272
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 y x)
cost-diff128
(/.f64 y (*.f64 y x))
cost-diff128
(-.f64 x (/.f64 y (*.f64 y x)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff-6144
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
cost-diff0
(exp.f64 z)
cost-diff0
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)
Rules
1637×fma-define
631×fmm-def
485×distribute-lft-neg-in
353×distribute-rgt-neg-in
333×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029422
161406
2115406
3205379
4406379
51029379
63130379
75540379
86979379
97611379
107783379
117958379
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
x
(/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))
y
(*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))
(+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)
x
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 x (/.f64 y (*.f64 y x)))
x
(/.f64 y (*.f64 y x))
y
(*.f64 y x)
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 x y)
#s(literal 5641895835477563/5000000000000000 binary64)
Outputs
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))))
(-.f64 x (/.f64 y (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))
(/.f64 y (*.f64 x (+.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 y (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
y
(*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))
(*.f64 x (+.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))
(+.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)
(*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)
x
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 x (/.f64 y (*.f64 y x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 y (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
y
(*.f64 y x)
(*.f64 x y)
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 x y)
#s(literal 5641895835477563/5000000000000000 binary64)

localize921.0ms (8.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy100.0%
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy89.1%
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 x (/.f64 y (*.f64 y x)))
accuracy79.1%
(/.f64 y (*.f64 y x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))
accuracy99.9%
(*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))
accuracy99.8%
(/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)
accuracy87.2%
(/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))
Results
893.0ms256×0valid
Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 304.0ms
...in/eval/compile.rkt:71:19: 278.0ms (91.4% of total)
ival-div: 9.0ms (3% of total)
ival-mult: 7.0ms (2.3% of total)
ival-sub: 6.0ms (2% of total)
ival-exp: 2.0ms (0.7% of total)
ival-add: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series40.0ms (0.4%)

Counts
13 → 318
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)>
#<alt (-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 x (/.f64 y (*.f64 y x)))>
#<alt (/.f64 y (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))>
#<alt (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))>
Outputs
#<alt (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 x y) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z))))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z))))))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
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#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))>
#<alt (*.f64 x y)>
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#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))>
#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))>
#<alt (*.f64 x y)>
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#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))))>
#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)))))>
#<alt (*.f64 x (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (*.f64 x (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 z (-.f64 (*.f64 #s(literal -5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))>
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#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y))) #s(literal 1 binary64))))>
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#<alt (-.f64 (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
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#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) x)>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
#<alt (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)))>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
x
@0
(- x (/ y (* x (+ y (/ (* (exp z) -5641895835477563/5000000000000000) x)))))
2.0ms
z
@-inf
(- x (/ y (* x (+ y (/ (* (exp z) -5641895835477563/5000000000000000) x)))))
2.0ms
z
@0
(- x (/ y (* x (+ y (/ (* (exp z) -5641895835477563/5000000000000000) x)))))
2.0ms
y
@0
(* x (+ y (/ (* (exp z) -5641895835477563/5000000000000000) x)))
1.0ms
y
@0
(- x (/ y (* x (+ y (/ (* (exp z) -5641895835477563/5000000000000000) x)))))

rewrite331.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
402×log1p-expm1-u
228×expm1-log1p-u
224×add-cube-cbrt
223×add-exp-log
223×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029348
1498305
27948305
Stop Event
node limit
Counts
13 → 477
Calls
Call 1
Inputs
(/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (*.f64 y x))
(*.f64 y x)
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))
(+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))) #s(literal 1 binary64))
(*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (exp.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 z)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (exp.f64 z))
(*.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(*.f64 (/.f64 (exp.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 (exp.f64 z) (sqrt.f64 x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (sqrt.f64 x)) (/.f64 (exp.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 z)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(exp.f64 (+.f64 z (log.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(exp.f64 (*.f64 (+.f64 z (log.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 1 binary64)))
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(exp.f64 (log.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (-.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64))) x) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(*.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(*.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (exp.f64 z)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64))) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))
(pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))))
(cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))

simplify693.0ms (6.6%)

Algorithm
egg-herbie
Rules
695×fma-define
394×times-frac
340×*-commutative
308×distribute-rgt-in
294×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0135432603
1361831655
Stop Event
node limit
Counts
795 → 812
Calls
Call 1
Inputs
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)
(-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(pow.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (-.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64))) x) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(*.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(*.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (exp.f64 z)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64))) (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y))
(pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))))
(cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
Outputs
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)
(-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 z (-.f64 (*.f64 (/.f64 z x) #s(literal -5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(fma.f64 z (fma.f64 (/.f64 z x) #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 z x)) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 z x) (neg.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x))) (neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(fma.f64 z (fma.f64 z (fma.f64 (/.f64 z x) #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -5641895835477563/10000000000000000 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (exp.f64 z))
(*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (exp.f64 z))
(*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (exp.f64 z))
(*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (exp.f64 z))
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(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
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(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
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(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
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(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) y)
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
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(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) y)
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (sqrt.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) y)
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
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eval204.0ms (1.9%)

Compiler

Compiled 17671 to 3580 computations (79.7% saved)

prune128.0ms (1.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New8636869
Fresh112
Picked145
Done000
Total86511876
Accuracy
100.0%
Counts
876 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(/.f64 #s(literal -1 binary64) x)
69.6%
(-.f64 x (/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
78.1%
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
77.3%
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
65.2%
(-.f64 x (/.f64 y (*.f64 y x)))
77.2%
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
54.0%
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
68.7%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
53.9%
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
13.2%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
68.4%
x
Compiler

Compiled 178 to 125 computations (29.8% saved)

simplify79.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff-6272
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
cost-diff0
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff-12544
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff-6272
(+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
Rules
419×fma-define
400×fmm-def
86×sub-neg
81×cancel-sign-sub-inv
54×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026284
147272
282264
3139264
4238264
5443264
6827264
71221264
81576264
91753264
101876264
111968264
121986264
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)
z
(*.f64 x y)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
x
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
y
#s(literal -5000000000000000/5641895835477563 binary64)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
x
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)
Outputs
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y (fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
y
(-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)
z
(*.f64 x y)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
x
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
y
#s(literal -5000000000000000/5641895835477563 binary64)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
x
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)

localize93.0ms (0.9%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy99.6%
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
accuracy100.0%
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
accuracy99.5%
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy99.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy100.0%
(+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y))
accuracy100.0%
(-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy99.6%
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
accuracy89.1%
(/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))
Results
65.0ms256×0valid
Compiler

Compiled 85 to 22 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
...in/eval/compile.rkt:71:19: 18.0ms (48.1% of total)
ival-mult: 7.0ms (18.7% of total)
ival-div: 6.0ms (16% of total)
ival-sub: 5.0ms (13.4% of total)
ival-add: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.4%)

Counts
11 → 198
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y))>
#<alt (-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))>
#<alt (-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))>
#<alt (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))>
#<alt (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))>
#<alt (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)))) (*.f64 x y))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))))>
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Calls

63 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(/ y (- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000))
9.0ms
y
@-inf
(- x (/ y (- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)))
3.0ms
z
@inf
(/ y (- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000))
1.0ms
y
@inf
(- x (/ y (- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)))
1.0ms
x
@0
(- x (/ y (- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)))

rewrite218.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1175×log1p-expm1-u
524×expm1-log1p-u
158×add-cube-cbrt
157×add-exp-log
157×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026229
1389217
25299217
Stop Event
node limit
Counts
11 → 367
Calls
Call 1
Inputs
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y))
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
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(pow.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 1 binary64))
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(+.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64))
(+.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (sqrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))

simplify714.0ms (6.8%)

Algorithm
egg-herbie
Rules
556×fma-define
406×associate-*r*
332×times-frac
254×distribute-rgt-in
240×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099722472
1277621524
Stop Event
node limit
Counts
565 → 569
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y)))) (*.f64 x y))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
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(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 2 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (sqrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
Outputs
(*.f64 x y)
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (*.f64 x (/.f64 y z))))))
(*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (/.f64 y z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (*.f64 x (/.f64 y z))))))
(*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (/.f64 y z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (*.f64 x (/.f64 y z))))))
(*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (/.f64 y z))) (neg.f64 z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z x) y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 z y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y))))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z y)) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
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(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)))))
(/.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (+.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(log.f64 (exp.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)) #s(literal -5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) (sqrt.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (sqrt.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (*.f64 x y)))
(fma.f64 x y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))

eval80.0ms (0.8%)

Compiler

Compiled 12354 to 2346 computations (81% saved)

prune134.0ms (1.3%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New5832585
Fresh112
Picked145
Done044
Total58511596
Accuracy
100.0%
Counts
596 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.1%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
13.2%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
21.5%
(/.f64 #s(literal -1 binary64) x)
78.1%
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
77.3%
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
65.2%
(-.f64 x (/.f64 y (*.f64 y x)))
77.2%
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
68.7%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
53.9%
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
13.2%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
68.4%
x
Compiler

Compiled 100 to 71 computations (29% saved)

simplify141.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff-6272
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff-6144
(/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
cost-diff-6144
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
cost-diff0
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
cost-diff0
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
Rules
958×fma-define
656×fmm-def
329×times-frac
161×div-sub
142×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019224
132216
272216
3143216
4290177
5646177
61102177
71868177
82621177
93063177
104135177
114274177
124324177
134422177
144422177
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
x
(/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
y
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
y
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
z
Outputs
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(-.f64 x (/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
z

localize69.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy99.7%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy99.6%
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy99.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
accuracy100.0%
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
accuracy99.9%
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
accuracy99.6%
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
accuracy89.1%
(/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
Results
52.0ms256×0valid
Compiler

Compiled 63 to 15 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 8.0ms (31.5% of total)
ival-div: 7.0ms (27.5% of total)
...in/eval/compile.rkt:71:19: 4.0ms (15.7% of total)
ival-mult: 3.0ms (11.8% of total)
ival-sub: 2.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts
9 → 156
Calls
Call 1
Inputs
#<alt (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))>
#<alt (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)>
#<alt (-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))>
#<alt (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))>
#<alt (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))>
Outputs
#<alt (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)>
#<alt y>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
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#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x))))))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
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#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y)) #s(literal 5000000000000000/5641895835477563 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x))) #s(literal 5000000000000000/5641895835477563 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x))) #s(literal 5000000000000000/5641895835477563 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
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#<alt (/.f64 #s(literal 1 binary64) x)>
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#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
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#<alt (+.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<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 5641895835477563/5000000000000000 binary64) z)>
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#<alt (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))>
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#<alt (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))>
#<alt (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
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#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))>
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#<alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)>
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#<alt (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt #s(literal -5641895835477563/5000000000000000 binary64)>
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#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(- x (/ y (* x (- y (/ 5641895835477563/5000000000000000 x)))))
1.0ms
y
@inf
(/ y (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)))
1.0ms
y
@0
(/ y (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)))
1.0ms
y
@-inf
(/ y (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)))
0.0ms
y
@inf
(- x (/ y (* x (- y (/ 5641895835477563/5000000000000000 x)))))

rewrite197.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1180×log1p-expm1-u
776×expm1-log1p-u
143×add-cube-cbrt
142×add-exp-log
142×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019201
1309193
24790193
Stop Event
node limit
Counts
9 → 280
Calls
Call 1
Inputs
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
Outputs
(+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(+.f64 y (*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) #s(literal 1 binary64)))
(+.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(+.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(+.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(+.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(*.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 (cbrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (sqrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (*.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))) (-.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(log1p.f64 (expm1.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(exp.f64 (log.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5641895835477563/5000000000000000 binary64))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
(sqrt.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(cbrt.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 1 binary64)))
(+.f64 x (/.f64 (neg.f64 y) (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(+.f64 x (*.f64 (/.f64 (neg.f64 y) (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 1 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 1 binary64)))

simplify521.0ms (4.9%)

Algorithm
egg-herbie
Rules
912×fmm-def
424×fma-define
307×associate-*r*
306×*-commutative
304×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085914958
1213514461
2712214455
Stop Event
node limit
Counts
436 → 500
Calls
Call 1
Inputs
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)
(/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)
y
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
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(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
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x
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y)))))
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(-.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
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(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
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(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(+.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x)
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(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x)
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(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
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(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
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(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
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(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
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(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
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(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
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(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (fma.f64 y y (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
y
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)
(/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) x)
(/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) x)
(/.f64 (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) x)
y
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
y
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(-.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (neg.f64 y)))
(fma.f64 y (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 x (+.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) x) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))))
(*.f64 x (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))))
x
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y)))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (neg.f64 y)))
(fma.f64 y (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x))))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(-.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
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(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 2 binary64))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) #s(literal 3 binary64)))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64))))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(exp.f64 (log.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))

eval80.0ms (0.8%)

Compiler

Compiled 8223 to 1830 computations (77.7% saved)

prune208.0ms (2%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New5000500
Fresh000
Picked033
Done088
Total50011511
Accuracy
100.0%
Counts
511 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.1%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
13.2%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
21.5%
(/.f64 #s(literal -1 binary64) x)
78.1%
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
77.3%
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
65.2%
(-.f64 x (/.f64 y (*.f64 y x)))
77.2%
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
68.7%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
53.9%
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
13.2%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
68.4%
x
Compiler

Compiled 229 to 128 computations (44.1% saved)

regimes34.0ms (0.3%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(-.f64 x (/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
Calls

6 calls:

6.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
6.0ms
x
6.0ms
z
6.0ms
y
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
96.5%1x
96.5%1y
100.0%2z
98.4%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
100.0%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
100.0%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes61.0ms (0.6%)

Counts
16 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(-.f64 x (/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x)))))
Calls

3 calls:

50.0ms
(exp.f64 z)
5.0ms
z
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
99.9%2z
99.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes15.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(-.f64 x (/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Calls

3 calls:

5.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.6%2z
99.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.6%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(-.f64 x (/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64))))
x
Calls

2 calls:

5.0ms
z
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
100.0%3z
100.0%3(exp.f64 z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))))
(-.f64 x (/.f64 (/.f64 y x) (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
x
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
99.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts
9 → 4
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
Calls

3 calls:

4.0ms
y
4.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
77.4%3y
73.4%2x
89.3%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts
6 → 4
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
89.3%4z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 4
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) x)
x
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
x
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
80.8%4z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(/.f64 #s(literal -1 binary64) x)
x
Calls

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
68.4%1y
74.9%2z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -41.8b remaining (-206.9%)

Threshold costs -41.8b (-206.9%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
Outputs
x
Calls

2 calls:

2.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
68.4%1x
68.4%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.7268080896263653
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.7268080896263653
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.7268080896263653
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000033
1.0000009438508635
0.0ms
0.0
0.7268080896263653
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch49.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
3.3936180301423642e-15
9.438504179667975e-7
20.0ms
-32231.76618777546
-0.3190928120510057
Results
28.0ms288×0valid
Compiler

Compiled 378 to 277 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.8% of total)
...in/eval/compile.rkt:71:19: 4.0ms (21% of total)
ival-exp: 3.0ms (15.8% of total)
ival-div: 2.0ms (10.5% of total)
ival-sub: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch150.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
106.0ms
3.3936180301423642e-15
9.438504179667975e-7
21.0ms
1.7992957842691545e-245
4.441526012375373e-238
18.0ms
-32231.76618777546
-0.3190928120510057
Results
127.0ms432×0valid
Compiler

Compiled 468 to 367 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
...in/eval/compile.rkt:71:19: 7.0ms (28.7% of total)
ival-mult: 6.0ms (24.6% of total)
ival-exp: 4.0ms (16.4% of total)
ival-div: 3.0ms (12.3% of total)
ival-sub: 2.0ms (8.2% of total)
ival-add: 2.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch66.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.3936180301423642e-15
9.438504179667975e-7
21.0ms
1.7992957842691545e-245
4.441526012375373e-238
22.0ms
-32231.76618777546
-0.3190928120510057
Results
42.0ms432×0valid
Compiler

Compiled 468 to 367 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
...in/eval/compile.rkt:71:19: 7.0ms (24.5% of total)
ival-sub: 6.0ms (21% of total)
ival-mult: 6.0ms (21% of total)
ival-exp: 4.0ms (14% of total)
ival-div: 3.0ms (10.5% of total)
ival-add: 3.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
6.869394754012845e-285
1.060875183209801e-284
14.0ms
-7.891807655316755e-17
-2.954305156492902e-18
15.0ms
-1.4691523271156764e+76
-5.946997807452033e+74
Results
28.0ms288×0valid
Compiler

Compiled 256 to 207 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
...in/eval/compile.rkt:71:19: 5.0ms (29.5% of total)
ival-mult: 4.0ms (23.6% of total)
ival-div: 2.0ms (11.8% of total)
ival-exp: 2.0ms (11.8% of total)
ival-add: 2.0ms (11.8% of total)
ival-sub: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-1.4691523271156764e+76
-5.946997807452033e+74
Results
10.0ms112×0valid
Compiler

Compiled 102 to 86 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
...in/eval/compile.rkt:71:19: 2.0ms (34.3% of total)
ival-sub: 1.0ms (17.2% of total)
ival-div: 1.0ms (17.2% of total)
ival-exp: 1.0ms (17.2% of total)
ival-add: 1.0ms (17.2% of total)
ival-mult: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify91.0ms (0.9%)

Algorithm
egg-herbie
Rules
38×+-commutative
37×sub-neg
32×*-commutative
28×neg-sub0
28×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094748
1137748
2196748
3243748
4299748
5329748
6349748
7358748
8362748
9363748
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251800939585155/2251799813685248 binary64)) (-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 z #s(literal -202 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 8689154328480147/9444732965739290427392 binary64)) (-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 z #s(literal -105 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 8840851817600415/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872 binary64)) (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))) (if (<=.f64 z #s(literal 3713820117856141/618970019642690137449562112 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) x)))
(if (<=.f64 z #s(literal -106 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 6451772274754039/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 binary64)) (-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (if (<=.f64 z #s(literal 2535301200456459/158456325028528675187087900672 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) x)))
(if (<=.f64 z #s(literal -780000000000000015013241309309897559725160663207902065563998927654360186880 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 z #s(literal -1492785346828763/162259276829213363391578010288128 binary64)) x (if (<=.f64 z #s(literal 7031775234659879/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) x)))
(if (<=.f64 z #s(literal -799999999999999961318550494422337583081568726424106841337654558109200285696 binary64)) (/.f64 #s(literal -1 binary64) x) x)
x
Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 x (/.f64 y (*.f64 x (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251800939585155/2251799813685248 binary64)) (-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (*.f64 x y)) #s(literal 5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251800939585155/2251799813685248 binary64)) (-.f64 x (/.f64 y (-.f64 (+.f64 (*.f64 x y) (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251800939585155/2251799813685248 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (*.f64 x y) (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)))))) x))
(if (<=.f64 z #s(literal -202 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 8689154328480147/9444732965739290427392 binary64)) (-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 z #s(literal -202 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 8689154328480147/9444732965739290427392 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -105 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 8840851817600415/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872 binary64)) (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))) (if (<=.f64 z #s(literal 3713820117856141/618970019642690137449562112 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) x)))
(if (<=.f64 z #s(literal -105 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 8840851817600415/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872 binary64)) (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))) (if (<=.f64 z #s(literal 3713820117856141/618970019642690137449562112 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 z #s(literal -106 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 6451772274754039/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 binary64)) (-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (if (<=.f64 z #s(literal 2535301200456459/158456325028528675187087900672 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) x)))
(if (<=.f64 z #s(literal -106 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 6451772274754039/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 binary64)) (-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (if (<=.f64 z #s(literal 2535301200456459/158456325028528675187087900672 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 z #s(literal -780000000000000015013241309309897559725160663207902065563998927654360186880 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 z #s(literal -1492785346828763/162259276829213363391578010288128 binary64)) x (if (<=.f64 z #s(literal 7031775234659879/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) x)))
(if (<=.f64 z #s(literal -799999999999999961318550494422337583081568726424106841337654558109200285696 binary64)) (/.f64 #s(literal -1 binary64) x) x)
x

soundness850.0ms (8.1%)

Rules
739×fma-define
734×fmm-def
695×fma-define
598×fma-define
457×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0105227383
1284026477
0135432603
1361831655
052578
1129538
2246538
3552526
41099510
52065506
63053506
73762506
83940506
94007506
104029506
114029506
Stop Event
done
saturated
node limit
node limit
Compiler

Compiled 450 to 168 computations (62.7% saved)

preprocess69.0ms (0.7%)

Compiler

Compiled 478 to 204 computations (57.3% saved)

end0.0ms (0%)

Profiling

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