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

Time bar (total: 11.9s)

analyze109.0ms (0.9%)

Memory
12.4MiB live, 168.0MiB allocated
Algorithm
1×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)

sample1.8s (15.6%)

Memory
27.2MiB live, 1 452.2MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 376.0ms (34% of total)
ival-exp: 225.0ms (20.4% of total)
ival-sub: 146.0ms (13.2% of total)
ival-mult: 143.0ms (12.9% of total)
ival-add: 137.0ms (12.4% of total)
ival-div: 68.0ms (6.2% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess97.0ms (0.8%)

Memory
15.3MiB live, 88.5MiB allocated
Algorithm
1×egg-herbie
Rules
304×lower-fma.f64
304×lower-fma.f32
256×distribute-lft-neg-in
240×sub-neg
214×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042115
1107109
2203109
3452108
4842108
51460108
61986108
72307108
82374108
92397108
102403108
112403108
01012
01612
12412
23612
34812
47112
510112
616012
722812
832112
942912
1059212
1160512
1262012
1366712
066711
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))

explain151.0ms (1.3%)

Memory
15.5MiB live, 366.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-1(-5.9920075139742315e-24 3.314346515169434e-294 -5.347537620104261e+269)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
20-0-(-.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/u80
↳(exp.f64 z)underflow70
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow70
↳(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow8
↳(*.f64 x y)underflow24
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue20
↳(exp.f64 z)overflow64
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow64
↳(*.f64 x y)overflow32
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
Samples
53.0ms512×0valid
Compiler

Compiled 120 to 44 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 10.0ms (31.2% of total)
const: 8.0ms (25% of total)
ival-div: 4.0ms (12.5% of total)
ival-exp: 4.0ms (12.5% of total)
ival-sub: 3.0ms (9.4% of total)
ival-add: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.8%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify30.0ms (0.3%)

Memory
-20.0MiB live, 61.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
✓cost-diff128
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Rules
304×lower-fma.f64
304×lower-fma.f32
192×lower-*.f32
188×lower-*.f64
88×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
01643
12443
23643
34843
47143
510143
616043
722843
832143
942943
1059243
1160543
1262043
1366743
066742
Stop Event
1×iter limit
1×saturated
1×iter limit
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)
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(neg.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.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)

localize36.0ms (0.3%)

Memory
19.6MiB live, 96.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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))
✓accuracy99.4%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓accuracy86.8%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
25.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (27.9% of total)
const: 4.0ms (27.9% of total)
ival-div: 2.0ms (14% of total)
ival-exp: 2.0ms (14% of total)
ival-sub: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-43.5MiB live, 14.7MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#<alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))>
#<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))>
#<alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))>
Outputs
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)>
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)>
#<alt (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (- 5641895835477563/5000000000000000 (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
Calls

30 calls:

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

simplify520.0ms (4.4%)

Memory
8.4MiB live, 516.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 530×lower-fma.f64
8 530×lower-fma.f32
5 230×lower-*.f64
5 230×lower-*.f32
2 854×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031957
18651937
225631849
082061764
Stop Event
1×iter limit
1×node limit
Counts
120 → 117
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
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(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

rewrite454.0ms (3.8%)

Memory
-9.8MiB live, 407.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 764×lower-fma.f64
5 764×lower-fma.f32
4 434×lower-*.f32
4 430×lower-*.f64
3 236×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
01634
15734
245134
3744434
0811833
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 270
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(/.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))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Outputs
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (neg.f64 y) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (fma.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (*.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 y)) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64))))) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 y (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) (fma.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)) (neg.f64 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) (fma.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x (*.f64 y y)))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x (*.f64 y y)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))))
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))
(*.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (+.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (-.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

eval142.0ms (1.2%)

Memory
22.7MiB live, 102.7MiB allocated
Compiler

Compiled 13 565 to 1 116 computations (91.8% saved)

prune157.0ms (1.3%)

Memory
-33.5MiB live, 126.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New37413387
Fresh000
Picked101
Done000
Total37513388
Accuracy
100.0%
Counts
388 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
▶80.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
75.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶73.9%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
64.4%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
▶96.8%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
68.1%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
▶67.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
▶59.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
50.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x))
58.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
14.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Compiler

Compiled 418 to 250 computations (40.2% saved)

simplify312.0ms (2.6%)

Memory
29.2MiB live, 194.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(exp.f64 (neg.f64 z))
✓cost-diff0
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
✓cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
✓cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (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)))
✓cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
✓cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
✓cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
✓cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
✓cost-diff0
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
✓cost-diff128
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
✓cost-diff256
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))
✓cost-diff320
(/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)
Rules
4 330×lower-fma.f32
4 320×lower-fma.f64
3 026×lower-*.f32
3 020×lower-*.f64
1 272×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041283
067283
1115283
2198281
3292281
4382279
5515279
6787278
71237278
81989278
93306278
104474278
116139278
126755278
136958278
147137278
157496278
167737278
177925278
08067272
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
x
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))
#s(literal -1 binary64)
(/.f64 (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)))
y
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (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)))
(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))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(exp.f64 (neg.f64 z))
(neg.f64 z)
z
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))
(/.f64 y (fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(literal -1 binary64)
(/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)
(fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) x)
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
y
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (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)))
(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))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)
(exp.f64 (neg.f64 z))
(neg.f64 z)
z
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
y
x

localize259.0ms (2.2%)

Memory
-12.5MiB live, 182.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 z))
✓accuracy100.0%
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
✓accuracy99.3%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓accuracy59.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
✓accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy99.4%
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))
✓accuracy86.8%
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))
✓accuracy66.8%
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (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)))
✓accuracy100.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
✓accuracy99.4%
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
✓accuracy86.8%
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
✓accuracy47.6%
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
✓accuracy54.2%
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
✓accuracy100.0%
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
✓accuracy99.9%
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))
✓accuracy86.9%
(/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)
Samples
149.0ms256×0valid
Compiler

Compiled 227 to 34 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
const: 49.0ms (49.5% of total)
ival-exp: 21.0ms (21.2% of total)
ival-mult: 12.0ms (12.1% of total)
ival-div: 7.0ms (7.1% of total)
ival-add: 7.0ms (7.1% of total)
ival-sub: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
14.7MiB live, 52.2MiB allocated
Counts
22 → 600
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))>
#<alt (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))>
#<alt (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))>
#<alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))>
#<alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))>
#<alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))>
#<alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))>
#<alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))>
#<alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))>
#<alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))>
#<alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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)))>
#<alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))>
#<alt (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)>
#<alt (exp.f64 (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))>
#<alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
Outputs
#<alt (* -5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt x>
#<alt (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))>
#<alt (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))>
#<alt (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))>
#<alt x>
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#<alt x>
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#<alt x>
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#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
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#<alt 1>
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#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt -5641895835477563/5000000000000000>
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#<alt (* -5641895835477563/5000000000000000 (exp z))>
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#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
Calls

150 calls:

TimeVariablePointExpression
15.0ms
x
@inf
(/ -1 x)
2.0ms
x
@0
(/ (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) y)
1.0ms
y
@inf
(+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x)
1.0ms
z
@0
(/ -1 (/ (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) y))
1.0ms
z
@-inf
(/ -1 (/ (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) y))

simplify571.0ms (4.8%)

Memory
-21.9MiB live, 651.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 482×lower-fma.f64
9 482×lower-fma.f32
5 128×lower-*.f64
5 128×lower-*.f32
3 286×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05459142
115839007
244478790
081738197
Stop Event
1×iter limit
1×node limit
Counts
600 → 578
Calls
Call 1
Inputs
(* -5641895835477563/5000000000000000 (/ (exp z) y))
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
x
(* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))
(* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))
(* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))
x
(* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))
(* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))
(* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))
(* -5641895835477563/5000000000000000 (/ (exp z) y))
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
x
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
x
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(/ (- (* x y) 5641895835477563/5000000000000000) y)
(- (+ x (* -5641895835477563/5000000000000000 (/ z y))) (* 5641895835477563/5000000000000000 (/ 1 y)))
(- (+ x (* z (- (* -5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))))) (* 5641895835477563/5000000000000000 (/ 1 y)))
(- (+ x (* z (- (* z (- (* -5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))) (* 5641895835477563/5000000000000000 (/ 1 y)))
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) 1) x)
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))) 1) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))) x))) x))) x))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))) (* y (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
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(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
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(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
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(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -2500000000000000/16925687506432689 (* y z)) (* 2500000000000000/5641895835477563 y)))))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))))
x
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
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(* y (+ (* 5000000000000000/5641895835477563 (exp (neg z))) (/ x y)))
(* y (+ (* 5000000000000000/5641895835477563 (exp (neg z))) (/ x y)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* -1 (* y (+ (* -1 (/ x y)) (* -5000000000000000/5641895835477563 (exp (neg z))))))
(* -1 (* y (+ (* -1 (/ x y)) (* -5000000000000000/5641895835477563 (exp (neg z))))))
(* -1 (* y (+ (* -1 (/ x y)) (* -5000000000000000/5641895835477563 (exp (neg z))))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x))))
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x)) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
-5641895835477563/5000000000000000
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(- (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
Outputs
(* -5641895835477563/5000000000000000 (/ (exp z) y))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) y)
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) x)
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) x)
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) x)
x
(* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) (*.f64 y x)) x) x)
(* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) (*.f64 y x)) x) x)
(* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) (*.f64 y x)) x) x)
x
(* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) (*.f64 y x)) x) x)
(* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) (*.f64 y x)) x) x)
(* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) (*.f64 y x)) x) x)
(* -5641895835477563/5000000000000000 (/ (exp z) y))
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y)
(/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) y)
x
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) x)
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) x)
(+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) x)
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(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* -5000000000000000/5641895835477563 (exp (neg z))))))
(fma.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -5000000000000000/5641895835477563 (exp (neg z))))))
(fma.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -5000000000000000/5641895835477563 (exp (neg z))))))
(fma.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) x)
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))))
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(fma.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) x)
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(fma.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) x)
(+ x (* 5000000000000000/5641895835477563 (* y (exp (neg z)))))
(fma.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) x)
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x))))
(fma.f64 x (/.f64 (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x) x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x))))
(fma.f64 x (/.f64 (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x) x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x))))
(fma.f64 x (/.f64 (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x) x)
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) x) x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) x) x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ (* y (exp (neg z))) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(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))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))
(- (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(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))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* -5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/30000000000000000 (pow z 2))
(*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 (*.f64 (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z) z)
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 (*.f64 (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z) z)
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))

rewrite527.0ms (4.4%)

Memory
28.0MiB live, 854.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 820×lower-fma.f32
5 810×lower-fma.f64
5 110×lower-/.f32
5 100×lower-/.f64
4 824×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041241
067241
1295239
22444239
09930237
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 443
Calls
Call 1
Inputs
(/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (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 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (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(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(exp.f64 (neg.f64 z))
(neg.f64 z)
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
Outputs
(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 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) y) (/.f64 (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(neg.f64 (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 y)))
(/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (neg.f64 y))
(/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 y (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) (*.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 (*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))) y))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (neg.f64 (*.f64 y (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (neg.f64 (*.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)) y)
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(/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/27000000000000000000000000000000000000000000000000 binary64)) (*.f64 z (*.f64 z z)) (pow.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))) (-.f64 (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) (-.f64 (*.f64 (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(*.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)

eval172.0ms (1.4%)

Memory
7.3MiB live, 324.0MiB allocated
Compiler

Compiled 26 217 to 1 910 computations (92.7% saved)

prune125.0ms (1.1%)

Memory
-2.6MiB live, 274.3MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 007141 021
Fresh628
Picked325
Done000
Total1 016181 034
Accuracy
100.0%
Counts
1 034 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))) y x)
73.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶61.8%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
75.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶81.2%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
59.5%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) y)))
✓67.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
✓59.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
▶38.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
46.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
73.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
▶58.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
14.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
39.4%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
46.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
▶53.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
Compiler

Compiled 569 to 340 computations (40.2% saved)

simplify277.0ms (2.3%)

Memory
30.1MiB live, 578.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
✓cost-diff320
(fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
✓cost-diff0
(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))
✓cost-diff0
#s(approx (exp (neg z)) (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)))
✓cost-diff0
(fma.f64 #s(approx (exp (neg z)) (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) y) x)
✓cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
✓cost-diff0
(*.f64 x (neg.f64 x))
✓cost-diff0
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
✓cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
✓cost-diff448
(/.f64 x (*.f64 x (neg.f64 x)))
✓cost-diff0
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
✓cost-diff0
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))
✓cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
✓cost-diff0
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))
✓cost-diff0
(/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)
✓cost-diff128
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
✓cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))
Rules
11 494×lower-fma.f32
11 468×lower-fma.f64
3 578×lower-*.f32
3 568×lower-*.f64
1 958×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062549
0101549
1196538
2424536
3884536
41782535
53532535
65408535
76884535
08268516
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
x
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))
#s(literal -1 binary64)
(/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))
y
#s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))
(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))
z
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64))
#s(literal -5641895835477563/30000000000000000 binary64)
#s(literal -5641895835477563/10000000000000000 binary64)
#s(literal -5641895835477563/5000000000000000 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
y
#s(literal 5000000000000000/5641895835477563 binary64)
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
x
(/.f64 x (*.f64 x (neg.f64 x)))
(*.f64 x (neg.f64 x))
(neg.f64 x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(fma.f64 #s(approx (exp (neg z)) (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) y) x)
#s(approx (exp (neg z)) (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)))
(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))
z
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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)))
(fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))
z
(/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
(*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))
(*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(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 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
(-.f64 x (/.f64 y (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))))
x
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))
(neg.f64 (/.f64 y (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))
y
#s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))
(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))
z
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64))
#s(literal -5641895835477563/30000000000000000 binary64)
#s(literal -5641895835477563/10000000000000000 binary64)
#s(literal -5641895835477563/5000000000000000 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
y
#s(literal 5000000000000000/5641895835477563 binary64)
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 x (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(*.f64 x (neg.f64 x))
(neg.f64 x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
(fma.f64 #s(approx (exp (neg z)) (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) y) x)
(fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) x)
#s(approx (exp (neg z)) (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)))
(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))
z
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y)))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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)))
(fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))
(fma.f64 z (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))
z
(/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
(*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))))
(*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(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 5641895835477563/5000000000000000 binary64)
(*.f64 x y)

localize294.0ms (2.5%)

Memory
20.2MiB live, 477.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))
✓accuracy86.8%
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y)))
✓accuracy66.8%
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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)))
✓accuracy66.1%
(/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
✓accuracy99.7%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy99.3%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓accuracy64.7%
#s(approx (exp (neg z)) (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)))
✓accuracy59.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
✓accuracy67.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
✓accuracy55.8%
(/.f64 x (*.f64 x (neg.f64 x)))
✓accuracy99.7%
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
✓accuracy59.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
✓accuracy59.1%
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))
✓accuracy99.9%
(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))
✓accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))
✓accuracy86.9%
(/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)
✓accuracy66.8%
#s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))
Samples
162.0ms256×0valid
Compiler

Compiled 358 to 61 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
const: 51.0ms (40% of total)
ival-mult: 41.0ms (32.1% of total)
ival-add: 17.0ms (13.3% of total)
ival-div: 10.0ms (7.8% of total)
ival-exp: 4.0ms (3.1% of total)
ival-neg: 2.0ms (1.6% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
-3.4MiB live, 69.5MiB allocated
Counts
27 → 624
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))>
#<alt (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))>
#<alt (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)>
#<alt (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))>
#<alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))>
#<alt #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))>
#<alt (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)>
#<alt (/.f64 x (*.f64 x (neg.f64 x)))>
#<alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))>
#<alt (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))>
#<alt (*.f64 x (neg.f64 x))>
#<alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))>
#<alt (fma.f64 #s(approx (exp (neg z)) (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) y) x)>
#<alt #s(approx (exp (neg z)) (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)))>
#<alt (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))>
#<alt (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))>
#<alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))>
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#<alt (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))>
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#<alt (neg.f64 x)>
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#<alt (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))>
#<alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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)))>
Outputs
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#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
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#<alt (/ -1 x)>
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#<alt (/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))) 1) x)>
#<alt (/ -1 x)>
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#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
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#<alt (* y (+ (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
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#<alt (/ -1 x)>
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#<alt (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (/ -1 x)>
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#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))>
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#<alt (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))>
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#<alt (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (+ x (* y (+ (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))))) (/ 1 x))>
#<alt (- (+ x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x))>
#<alt (- x (/ 1 x))>
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#<alt (- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))))>
#<alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))))>
#<alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (* -5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt x>
#<alt (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))>
#<alt (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))>
#<alt (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))>
#<alt (* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))>
#<alt (* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)))>
#<alt (* -5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt x>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (/ (- (* x y) 5641895835477563/5000000000000000) y)>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ z y))) (* 5641895835477563/5000000000000000 (/ 1 y)))>
#<alt (- (+ x (* z (- (* -5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))))) (* 5641895835477563/5000000000000000 (/ 1 y)))>
#<alt (- (+ x (* z (- (* z (- (* -5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))) (* 5641895835477563/5000000000000000 (/ 1 y)))>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
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#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (* -5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* -5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))>
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#<alt (* -5641895835477563/5000000000000000 (exp z))>
#<alt (* -5641895835477563/5000000000000000 (exp z))>
#<alt (* -5641895835477563/5000000000000000 (exp z))>
#<alt -5641895835477563/5000000000000000>
#<alt (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)>
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#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
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#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (+ 1/2 (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 z)>
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#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
Calls

156 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(+ (* y 5000000000000000/5641895835477563) x)
0.0ms
z
@inf
(+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000)
0.0ms
x
@0
(* x (neg x))
0.0ms
z
@-inf
(+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000)
0.0ms
z
@inf
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)

simplify409.0ms (3.4%)

Memory
2.0MiB live, 721.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 600×lower-fma.f64
8 600×lower-fma.f32
6 006×lower-*.f64
6 006×lower-*.f32
2 576×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06608285
119598177
257248055
082487525
Stop Event
1×iter limit
1×node limit
Counts
624 → 594
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) 1) x)
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))) 1) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))) x))) x))) x))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))) (* y (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
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(- x (/ 1 x))
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(- (+ x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x))
(- x (/ 1 x))
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(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
-5641895835477563/5000000000000000
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(- (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
(* -5641895835477563/5000000000000000 (exp z))
-5641895835477563/5000000000000000
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)
(- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)
(- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)
(* -5641895835477563/30000000000000000 (pow z 2))
(* -1 (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))
(* -5641895835477563/30000000000000000 (pow z 2))
(* -1 (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))
-5641895835477563/5000000000000000
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(- (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(* -5641895835477563/30000000000000000 (pow z 3))
(* -1 (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))))
(* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))
(* (pow z 3) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) (pow z 2))) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))))
(* -5641895835477563/30000000000000000 (pow z 3))
(* -1 (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))))
(* -1 (* (pow z 3) (+ 5641895835477563/30000000000000000 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/10000000000000000) z)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
1/2
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(* -1/6 z)
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* -1/6 z)
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (*.f64 y x))) (exp.f64 (+.f64 z z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 x (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y (*.f64 y x)))) (exp.f64 (+.f64 z (+.f64 z z))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z)))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (*.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (exp.f64 (+.f64 z z))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) 1) x)
(/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) x)
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))) 1) x)
(/.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 y (*.f64 y (*.f64 x (*.f64 y (*.f64 x x)))))) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y (*.f64 x x)))))) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))) x))) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y)) (/.f64 (*.f64 (exp.f64 (+.f64 z (+.f64 z z))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y (*.f64 y x))))) x) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y)) x)) x))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))))
(* y (+ (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (fma.f64 y (fma.f64 y (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
(* y (+ (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))) (* y (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x x) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
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(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/30000000000000000 (pow z 2))
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(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))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

rewrite480.0ms (4%)

Memory
-19.8MiB live, 569.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 914×lower-*.f32
4 904×lower-*.f64
4 670×lower-fma.f32
4 644×lower-fma.f64
2 886×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062458
0101458
1467371
23856371
08263364
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 411
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
(/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(/.f64 x (*.f64 x (neg.f64 x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(fma.f64 #s(approx (exp (neg z)) (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) y) x)
#s(approx (exp (neg z)) (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)))
(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))
(fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))
#s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 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))
(neg.f64 x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) (neg.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) (neg.f64 y)))
(/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))))
(*.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))))))
(*.f64 (/.f64 y (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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))
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eval184.0ms (1.5%)

Memory
7.6MiB live, 268.1MiB allocated
Compiler

Compiled 26 782 to 2 215 computations (91.7% saved)

prune112.0ms (0.9%)

Memory
-1.4MiB live, 211.0MiB allocated
Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New994111 005
Fresh3811
Picked235
Done022
Total999241 023
Accuracy
100.0%
Counts
1 023 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
▶79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶61.8%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
75.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
65.4%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(approx (+ (* z (+ (* z (+ (* z -5641895835477563/30000000000000000) -5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) -5641895835477563/5000000000000000) (*.f64 z (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 z z)))))) y)))
59.5%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
✓67.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
✓59.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
✓38.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
36.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
36.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (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)) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.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) y) x))
46.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
14.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) #s(approx (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
22.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (*.f64 #s(approx (exp (neg z)) (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))) #s(approx (exp (neg z)) (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)))) (neg.f64 (*.f64 x x))) (fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 x))))
▶73.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
✓58.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
14.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
39.4%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
46.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
✓53.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
▶13.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
23.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
Compiler

Compiled 896 to 487 computations (45.6% saved)

simplify298.0ms (2.5%)

Memory
3.4MiB live, 349.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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)))
✓cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
✓cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
✓cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
✓cost-diff0
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓cost-diff0
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
✓cost-diff0
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
✓cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓cost-diff0
#s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓cost-diff0
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
✓cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
✓cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Rules
7 114×lower-fma.f32
7 094×lower-fma.f64
3 270×lower-*.f32
3 260×lower-*.f64
1 412×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068693
0105696
1190694
2362694
3726694
41408694
52452670
63087670
74060670
84654670
94998670
105407670
08027657
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
y
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
(*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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)))
(fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))
z
(/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(*.f64 z z)
(fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))
(fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64))
#s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64)
#s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)
#s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal -5641895835477563/5000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
#s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
#s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
(*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.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))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y)))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.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))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.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)))
(fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))
(fma.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.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))
z
(/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
#s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(*.f64 z z)
(fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))
(fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64))
#s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64)
#s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)
#s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal -5641895835477563/5000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)

localize402.0ms (3.4%)

Memory
1.9MiB live, 450.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))
✓accuracy86.8%
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y)))
✓accuracy66.8%
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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)))
✓accuracy66.1%
(/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
✓accuracy99.4%
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
✓accuracy86.8%
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
✓accuracy66.8%
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
✓accuracy53.2%
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
✓accuracy100.0%
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓accuracy100.0%
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓accuracy88.0%
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
✓accuracy74.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
✓accuracy99.3%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓accuracy59.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
✓accuracy59.1%
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
✓accuracy53.8%
#s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓accuracy99.8%
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy99.4%
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
✓accuracy86.8%
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
✓accuracy62.7%
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
Samples
247.0ms256×0valid
Compiler

Compiled 366 to 56 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
const: 157.0ms (72.9% of total)
ival-mult: 29.0ms (13.5% of total)
ival-add: 17.0ms (7.9% of total)
ival-div: 5.0ms (2.3% of total)
ival-exp: 4.0ms (1.9% of total)
ival-sub: 2.0ms (0.9% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
-7.8MiB live, 29.4MiB allocated
Counts
23 → 612
Calls
Call 1
Inputs
#<alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))>
#<alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))>
#<alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))>
#<alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))>
#<alt #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))>
#<alt #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))>
#<alt (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))>
#<alt (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))>
#<alt (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))>
#<alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))>
#<alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))>
#<alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))>
#<alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))>
#<alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y)))>
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#<alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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)))>
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Outputs
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#<alt x>
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#<alt x>
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#<alt x>
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#<alt (/ -1 x)>
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#<alt (/ -1 x)>
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#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (/ -1 x)>
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#<alt (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)>
#<alt (/ -1 x)>
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#<alt (* -1 (* x y))>
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#<alt (* -1 (* x y))>
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#<alt 5641895835477563/5000000000000000>
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#<alt (* 5641895835477563/5000000000000000 (exp z))>
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#<alt (* 5641895835477563/5000000000000000 (exp z))>
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#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
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Calls

153 calls:

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

simplify750.0ms (6.3%)

Memory
6.7MiB live, 480.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 206×lower-fma.f64
7 206×lower-fma.f32
5 126×lower-*.f64
5 126×lower-*.f32
2 978×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05599030
116408918
245698718
082718237
Stop Event
1×iter limit
1×node limit
Counts
612 → 588
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
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(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
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(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (/.f64 y (exp.f64 (+.f64 z z))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x)
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (fma.f64 x (fma.f64 x (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 y (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z z)))) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z)))))
x
(* x (- 1 (/ 1 (pow x 2))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 y y))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) (*.f64 x (*.f64 x x)))) (neg.f64 x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (/.f64 y (exp.f64 (+.f64 z z))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x)
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64))) x))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) x) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64))) x))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y x)) #s(literal -1 binary64))) x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (exp.f64 (+.f64 z (+.f64 z z))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y)) y) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 y z) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 z (fma.f64 z (fma.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (fma.f64 (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 (*.f64 y #s(literal 5641895835477563/30000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) (neg.f64 z) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (/.f64 (*.f64 y #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
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5641895835477563/5000000000000000
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5641895835477563/5000000000000000
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5641895835477563/5000000000000000
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rewrite735.0ms (6.2%)

Memory
-21.4MiB live, 668.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 644×lower-*.f32
5 634×lower-*.f64
4 788×lower-fma.f32
4 768×lower-fma.f64
3 392×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068522
0105522
1491495
23901495
09061485
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 290
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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)))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
(/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 x y) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) x)
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))) (fma.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x) (*.f64 x x)))
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eval113.0ms (1%)

Memory
37.4MiB live, 304.3MiB allocated
Compiler

Compiled 24 110 to 1 364 computations (94.3% saved)

prune120.0ms (1%)

Memory
-33.7MiB live, 223.9MiB allocated
Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New8735878
Fresh01414
Picked145
Done055
Total87428902
Accuracy
100.0%
Counts
902 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
73.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
✓61.8%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
75.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
✓79.7%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
79.4%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
65.4%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(approx (+ (* z (+ (* z (+ (* z -5641895835477563/30000000000000000) -5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) -5641895835477563/5000000000000000) (*.f64 z (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 z z)))))) y)))
59.5%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
✓67.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
✓59.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
✓38.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
36.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
36.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (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)) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.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) y) x))
46.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
14.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) #s(approx (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
22.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (*.f64 #s(approx (exp (neg z)) (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))) #s(approx (exp (neg z)) (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)))) (neg.f64 (*.f64 x x))) (fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 x))))
✓73.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
53.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
✓58.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
14.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
42.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
39.4%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
39.4%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
46.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
✓53.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
✓13.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
23.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
Compiler

Compiled 1 260 to 498 computations (60.5% saved)

regimes86.0ms (0.7%)

Memory
-1.7MiB live, 152.6MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))) y x)
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(approx (+ (* z (+ (* z (+ (* z -5641895835477563/30000000000000000) -5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) -5641895835477563/5000000000000000) (*.f64 z (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 z z)))))) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) #s(approx (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (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)) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.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) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (*.f64 #s(approx (exp (neg z)) (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))) #s(approx (exp (neg z)) (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)))) (neg.f64 (*.f64 x x))) (fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
Calls

6 calls:

20.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
13.0ms
y
13.0ms
z
13.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
12.0ms
x
Results
AccuracySegmentsBranch
96.8%1x
96.8%1y
99.9%2z
98.6%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes34.0ms (0.3%)

Memory
32.7MiB live, 75.9MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
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#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
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#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
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#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) #s(approx (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
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#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (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)) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.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) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (*.f64 #s(approx (exp (neg z)) (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))) #s(approx (exp (neg z)) (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)))) (neg.f64 (*.f64 x x))) (fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
Calls

3 calls:

12.0ms
z
11.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
9.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.8%2z
99.8%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.8%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes32.0ms (0.3%)

Memory
-3.8MiB live, 74.5MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))) y x)
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(approx (+ (* z (+ (* z (+ (* z -5641895835477563/30000000000000000) -5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) -5641895835477563/5000000000000000) (*.f64 z (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 z z)))))) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) #s(approx (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (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)) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.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) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (*.f64 #s(approx (exp (neg z)) (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))) #s(approx (exp (neg z)) (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)))) (neg.f64 (*.f64 x x))) (fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.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:

11.0ms
z
9.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
9.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.1%2z
99.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.1%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes71.0ms (0.6%)

Memory
0.2MiB live, 156.6MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))) y x)
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(approx (+ (* z (+ (* z (+ (* z -5641895835477563/30000000000000000) -5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) -5641895835477563/5000000000000000) (*.f64 z (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 z z)))))) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) #s(approx (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 #s(approx (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/150000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (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))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (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))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (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)) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.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) y) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (*.f64 #s(approx (exp (neg z)) (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))) #s(approx (exp (neg z)) (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)))) (neg.f64 (*.f64 x x))) (fma.f64 #s(approx (exp (neg z)) (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 y #s(literal 5000000000000000/5641895835477563 binary64)) (neg.f64 x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y)))
Calls

6 calls:

13.0ms
x
13.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
11.0ms
z
11.0ms
y
11.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
81.2%1x
83.1%2y
94.0%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
97.7%2z
97.7%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
97.7%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes24.0ms (0.2%)

Memory
7.9MiB live, 46.0MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))) y x)
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(approx (+ (* z (+ (* z (+ (* z -5641895835477563/30000000000000000) -5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) -5641895835477563/5000000000000000) (*.f64 z (*.f64 #s(literal -5641895835477563/30000000000000000 binary64) (*.f64 z z)))))) y)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y))))
Calls

3 calls:

8.0ms
(exp.f64 z)
8.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
96.9%2z
96.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
96.9%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes22.0ms (0.2%)

Memory
-6.4MiB live, 42.3MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

8.0ms
(exp.f64 z)
7.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
96.5%2z
96.5%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
96.5%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes33.0ms (0.3%)

Memory
-4.1MiB live, 35.2MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) y x)
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

21.0ms
z
5.0ms
(exp.f64 z)
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
95.8%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.8%2(exp.f64 z)
95.8%2z
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes55.0ms (0.5%)

Memory
-4.3MiB live, 35.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

42.0ms
(exp.f64 z)
6.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
95.6%2z
95.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.6%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes25.0ms (0.2%)

Memory
-13.7MiB live, 65.7MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (/ (+ (* (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) (* z (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)))) -31830988618379068626528276418969/25000000000000000000000000000000) (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) -5641895835477563/5000000000000000)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (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) y) x))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

4 calls:

8.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
6.0ms
z
6.0ms
(exp.f64 z)
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
85.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
90.6%2z
90.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
90.6%2(exp.f64 z)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes16.0ms (0.1%)

Memory
-6.1MiB live, 31.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (*.f64 y (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
Calls

3 calls:

7.0ms
z
4.0ms
(exp.f64 z)
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
87.9%2z
87.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
87.9%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes22.0ms (0.2%)

Memory
18.7MiB live, 57.2MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
5.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
70.9%3x
75.3%3y
82.4%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
75.0%2z
72.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
72.1%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
82.4%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory
-5.1MiB live, 33.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (exp (neg z)) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
Outputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
Calls

6 calls:

33.0ms
z
3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
x
3.0ms
y
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
53.3%1x
62.3%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
62.3%2(exp.f64 z)
59.1%3y
62.6%2z
57.5%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes29.0ms (0.2%)

Memory
-15.6MiB live, 25.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
Outputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
Calls

6 calls:

21.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
x
2.0ms
z
2.0ms
y
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
53.3%1x
53.3%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
53.3%1y
53.3%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
53.3%1(exp.f64 z)
53.3%1z
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes8.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
13.7%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
13.7%1(exp.f64 z)
13.7%1z
13.7%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
13.7%1x
13.7%1y
Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2512794322724216
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2512794322724216
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2512794322724216
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory
-38.4MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2512794322724216
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2512794322724216
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch21.0ms (0.2%)

Memory
18.8MiB live, 57.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-4271396.50723016
-1.3811896830967783
Samples
13.0ms144×0valid
Compiler

Compiled 306 to 196 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 3.0ms (31.1% of total)
ival-mult: 2.0ms (20.7% of total)
const: 2.0ms (20.7% of total)
ival-sub: 1.0ms (10.4% of total)
ival-div: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-4271396.50723016
-1.3811896830967783
Compiler

Compiled 288 to 187 computations (35.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2512794322724216
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.2512794322724216
0.49313327733018214
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2512794322724216
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
11.22850272200014
26.26282266337469
0.0ms
-277.622030749761
-9.451060301956489e-6
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
11.22850272200014
26.26282266337469
0.0ms
-277.622030749761
-9.451060301956489e-6
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch13.0ms (0.1%)

Memory
-6.6MiB live, 31.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-9069925920221940.0
-1119024657455058.3
Samples
9.0ms96×0valid
Compiler

Compiled 132 to 88 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (20.3% of total)
ival-div: 1.0ms (20.3% of total)
ival-exp: 1.0ms (20.3% of total)
ival-mult: 1.0ms (20.3% of total)
const: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Memory
-7.8MiB live, 32.3MiB allocated
Algorithm
1×egg-herbie
Rules
42×+-commutative_binary64
26×*-commutative_binary64
24×sub-neg_binary64
24×cancel-sign-sub-inv_binary64
10×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142704
1176704
2202704
3212704
4219704
5221704
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))))
(if (<=.f64 z #s(literal -320 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 z #s(literal -320 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 20 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 20 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 z #s(literal -1400000000000000 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.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 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (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)))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))) (*.f64 x y)))))
(if (<=.f64 z #s(literal -320 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 z #s(literal -320 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 20 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 20 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 20 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 20 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 z #s(literal -1400000000000000 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ x (/ x (* x (neg x)))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) x) #s(approx (+ (* y 5000000000000000/5641895835477563) x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))

soundness1.4s (11.7%)

Memory
36.4MiB live, 1 261.0MiB allocated
Rules
9 482×lower-fma.f64
9 482×lower-fma.f32
8 600×lower-fma.f64
8 600×lower-fma.f32
8 530×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05599030
116408918
245698718
082718237
03031957
18651937
225631849
082061764
06608285
119598177
257248055
082487525
01034
01634
15734
245134
3744434
0811833
05459142
115839007
244478790
081738197
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 789 to 374 computations (52.6% saved)

preprocess95.0ms (0.8%)

Memory
-38.7MiB live, 172.0MiB allocated
Compiler

Compiled 834 to 232 computations (72.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...