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

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze160.0ms (2%)

Memory
0.4MiB live, 84.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.6s (19.8%)

Memory
-11.0MiB live, 1 372.5MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 799.0ms
ival-exp: 259.0ms (32.4% of total)
const: 192.0ms (24% of total)
ival-mult: 132.0ms (16.5% of total)
ival-div: 103.0ms (12.9% of total)
ival-add: 66.0ms (8.3% of total)
ival-sub: 37.0ms (4.6% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain197.0ms (2.5%)

Memory
5.4MiB live, 212.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
380-1(1.6234514880723416e-96 1.43781035979758e-224 -6.689152265877985e+246)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
40-0-(-.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/u140
(exp.f64 z)underflow80
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow80
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow14
(*.f64 x y)underflow36
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue40
(exp.f64 z)overflow66
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow66
(*.f64 x y)overflow31
Confusion
Predicted +Predicted -
+181
-0237
Precision
1.0
Recall
0.9473684210526315
Confusion?
Predicted +Predicted MaybePredicted -
+1801
-00237
Precision?
1.0
Recall?
0.9473684210526315
Freqs
test
numberfreq
0238
118
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 145 to 44 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 17.0ms (40.3% of total)
const: 8.0ms (18.9% of total)
ival-mult: 7.0ms (16.6% of total)
ival-div: 4.0ms (9.5% of total)
ival-exp: 4.0ms (9.5% of total)
ival-sub: 2.0ms (4.7% of total)
ival-true: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess88.0ms (1.1%)

Memory
13.7MiB live, 52.6MiB allocated
Algorithm
egg-herbie
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
iter limit
saturated
iter limit
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 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify73.0ms (0.9%)

Memory
-19.0MiB live, 20.2MiB allocated
Algorithm
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))))
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
iter limit
saturated
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 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
(*.f64 y x)

localize67.0ms (0.8%)

Memory
16.5MiB live, 55.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
accuracy0.00390625
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy0.7968750000000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy9.00111613156125
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
60.0ms256×0valid
Compiler

Compiled 88 to 22 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sub: 34.0ms (71.9% of total)
const: 4.0ms (8.5% of total)
ival-mult: 3.0ms (6.3% of total)
ival-div: 2.0ms (4.2% of total)
ival-exp: 2.0ms (4.2% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
-18.7MiB live, 19.0MiB allocated
Counts
4 → 64
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
(* 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))))))
(+ (* 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))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
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)))))
(/ -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 y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -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)))
(* -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))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(+ 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))))))
(* 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)))))
(- 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))))
(- (* -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))))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) 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))
(- (* -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 (- (* -5641895835477563/5000000000000000 (/ (exp z) 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)))))
(/ 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))))
(- 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
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
Calls

9 calls:

TimeVariablePointExpression
29.0ms
z
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
1.0ms
y
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
1.0ms
x
@0
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
1.0ms
x
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
1.0ms
z
@0
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)))

simplify236.0ms (3%)

Memory
12.8MiB live, 207.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031507
18651491
225651415
082111334
Stop Event
iter limit
node limit
Counts
64 → 63
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))))))
(+ (* 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))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
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)))))
(/ -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 y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -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)))
(* -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))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(+ 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))))))
(* 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)))))
(- 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))))
(- (* -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))))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) 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))
(- (* -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 (- (* -5641895835477563/5000000000000000 (/ (exp z) 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)))))
(/ 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))))
(- 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
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y 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 (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 1 binary64))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 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 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x #s(literal 1 binary64))) x))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(*.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y)
(+ (* 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 (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 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))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x)) x))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
x
(* x (- 1 (/ 1 (pow x 2))))
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) 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 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y) y) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
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(+ (* 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 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))
(- 5641895835477563/5000000000000000 (* x y))
(fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))

rewrite202.0ms (2.5%)

Memory
7.6MiB live, 260.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval41.0ms (0.5%)

Memory
-6.6MiB live, 107.6MiB allocated
Compiler

Compiled 11 763 to 1 181 computations (90% saved)

prune12.0ms (0.1%)

Memory
-10.9MiB live, 35.4MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New31011321
Fresh000
Picked101
Done000
Total31111322
Accuracy
100.0%
Counts
322 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
78.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
79.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.1%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.5%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
63.1%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
60.7%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
68.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
60.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
15.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
63.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
Compiler

Compiled 398 to 308 computations (22.6% saved)

simplify69.0ms (0.9%)

Memory
13.4MiB live, 51.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
cost-diff0
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
cost-diff0
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.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
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
cost-diff0
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042326
071322
1105322
2151322
3262322
4439322
5654322
6879322
71230322
81569322
91786322
101879322
111891322
121896322
131898322
01898322
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
x
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
y
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
#s(literal -5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 y x)
(+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))
x
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))
y
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal -5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 y x)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(*.f64 x y)
(*.f64 y x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)

localize109.0ms (1.4%)

Memory
11.7MiB live, 166.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.7968750000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy9.00111613156125
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy26.11781462385232
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.1328125
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.7968750000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy9.00111613156125
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy35.612145025983814
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0
(neg.f64 x)
accuracy0.00390625
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
accuracy9.00111613156125
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
accuracy31.14326225471784
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.00390625
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
accuracy31.814121227460316
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
accuracy0.0703125
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
accuracy0.15625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
accuracy1.0038979933208232
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
accuracy9.00111613156125
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
Samples
84.0ms256×0valid
Compiler

Compiled 579 to 78 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 15.0ms (25% of total)
ival-mult: 15.0ms (25% of total)
const: 14.0ms (23.4% of total)
ival-add: 6.0ms (10% of total)
ival-sub: 5.0ms (8.3% of total)
ival-exp: 2.0ms (3.3% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-17.3MiB live, 57.8MiB allocated
Counts
23 → 145
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
(neg.f64 x)
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(* 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)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* x (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (pow y 2))) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* -1 (* x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* x (- (* -1 (* x (+ (* -5641895835477563/5000000000000000 (/ (* (exp z) (* (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) y)) (+ (* -1 (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(* -5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* -5000000000000000/5641895835477563 (/ y (exp z))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))))
(+ (* -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))))))
(+ (* 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))))))
(+ (* 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))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* -5641895835477563/5000000000000000 (exp z))
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))
(* -1 x)
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))))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
(/ (- (+ 1 (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
(/ (- (+ 1 (* 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))))) 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)))))
(/ (- (* -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)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x y)
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) 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)))
(* -1 (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (/ 1 x)) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) x)) 1) x))
(* -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)) 1) 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)))
(* -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))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) 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))))))
(+ (* -5000000000000000/5641895835477563 (/ y (* (pow x 2) (exp z)))) (/ 1 x))
(+ (* y (- (* y (- (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ 1 (* (pow x 3) (pow (exp z) 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ 1 (* x (pow (exp z) 2)))))) (* 5000000000000000/5641895835477563 (/ 1 (* (pow x 2) (exp z)))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ 1 (* (pow x 3) (pow (exp z) 2)))) (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ 1 (* (pow x 2) (pow (exp z) 3)))) (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ 1 (pow (exp z) 3))) (* 5000000000000000/5641895835477563 (/ (- (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ 1 (* (pow x 3) (pow (exp z) 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ 1 (* x (pow (exp z) 2))))) (* x (exp z)))))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ 1 (* x (pow (exp z) 2)))))) (* 5000000000000000/5641895835477563 (/ 1 (* (pow x 2) (exp z)))))) (/ 1 x))
(* 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)))))
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(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
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5641895835477563/5000000000000000
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Calls

9 calls:

TimeVariablePointExpression
7.0ms
z
@0
((/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))) (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ 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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (neg x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
7.0ms
x
@inf
((/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))) (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ 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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (neg x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
5.0ms
z
@-inf
((/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))) (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ 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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (neg x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
5.0ms
x
@0
((/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))) (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ 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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (neg x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
4.0ms
y
@-inf
((/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))) (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ 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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (neg x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))

simplify206.0ms (2.6%)

Memory
-0.7MiB live, 243.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07254461
122494405
276684383
082254073
Stop Event
iter limit
node limit
Counts
145 → 144
Calls
Call 1
Inputs
(* 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)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* x (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (pow y 2))) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* -1 (* x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* x (- (* -1 (* x (+ (* -5641895835477563/5000000000000000 (/ (* (exp z) (* (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) y)) (+ (* -1 (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(* -5000000000000000/5641895835477563 (/ y (exp z)))
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(+ (* -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))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
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(+ (* 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))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* -5641895835477563/5000000000000000 (exp z))
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))
(* -1 x)
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))))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
(/ (- (+ 1 (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
(/ (- (+ 1 (* 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))))) 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)))))
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(/ (- (* -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)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x y)
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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(* -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)) 1) x))
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(* -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))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) 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))))))
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(* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
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(* 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)))))
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(* 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)))))
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(- x (/ 1 x))
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(/ 1 (- x (/ y (- (* x y) 5641895835477563/5000000000000000))))
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(/ y (- (* x y) 5641895835477563/5000000000000000))
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(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
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(/ 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))))
(- 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
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(- (* x y) 5641895835477563/5000000000000000)
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))
(/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 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)))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x))
(- (* 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))))
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(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) z (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(+ (* 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 (neg.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))) z (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(+ (* 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 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) z (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(- 5641895835477563/5000000000000000 (* x y))
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 (neg.f64 y) x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000)
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) z #s(literal -5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
(/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) z)
(* 5641895835477563/30000000000000000 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/30000000000000000 binary64)) z) z)
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) z)) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (*.f64 z z))

rewrite174.0ms (2.2%)

Memory
26.8MiB live, 309.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042282
071278
1305278
22274278
08228278
Stop Event
iter limit
node limit
iter limit
Counts
23 → 572
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
(/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))
(neg.f64 x)
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(*.f64 (/.f64 (+.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) #s(literal 1 binary64)) (/.f64 (-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)))
(*.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (fma.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) (*.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(/.f64 (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))) (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))) (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))

eval85.0ms (1.1%)

Memory
4.6MiB live, 159.3MiB allocated
Compiler

Compiled 23 793 to 2 692 computations (88.7% saved)

prune19.0ms (0.2%)

Memory
-32.4MiB live, 43.2MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6288636
Fresh516
Picked235
Done000
Total63512647
Accuracy
100.0%
Counts
647 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
66.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
78.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
79.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
78.1%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
60.7%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))
78.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
68.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
60.6%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
78.5%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
15.5%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
Compiler

Compiled 462 to 353 computations (23.6% saved)

simplify168.0ms (2.1%)

Memory
8.4MiB live, 133.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 z)
cost-diff0
(/.f64 y (exp.f64 z))
cost-diff0
(fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)
cost-diff0
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff320
(/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
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 (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044319
072311
1116311
2169307
3260307
4433305
5731305
61369305
72974305
84534305
96866305
08019301
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.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 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
#s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
#s(literal 1 binary64)
(/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(neg.f64 y)
y
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)
(/.f64 y (exp.f64 z))
y
(exp.f64 z)
z
#s(literal 5000000000000000/5641895835477563 binary64)
x
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.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 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
#s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) y))))
x
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(-.f64 (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) y) x)
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
(neg.f64 y)
y
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) x))
(fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) x)
(/.f64 y (exp.f64 z))
y
(exp.f64 z)
z
#s(literal 5000000000000000/5641895835477563 binary64)
x

localize189.0ms (2.4%)

Memory
-5.4MiB live, 151.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 z)
accuracy0.00390625
(/.f64 y (exp.f64 z))
accuracy0.07421875
(fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)
accuracy5.649457149344238
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
accuracy0.0390625
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.08203125
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
accuracy2.657525395313416
(/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
accuracy16.0444815703553
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.00390625
(-.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy0.0625
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy0.125
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
accuracy20.058965119085165
#s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x))))
accuracy0
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
accuracy0.00390625
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
accuracy4.630445069646528
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy6.607397806000679
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy0.0390625
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.7968750000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy2.6806486059143717
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy8.183203687510046
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
Samples
74.0ms176×0valid
34.0ms80×0exit
Compiler

Compiled 562 to 91 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 27.0ms (35.7% of total)
ival-div: 16.0ms (21.1% of total)
const: 15.0ms (19.8% of total)
ival-add: 10.0ms (13.2% of total)
ival-sub: 5.0ms (6.6% of total)
ival-exp: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
32.6MiB live, 32.6MiB allocated
Counts
23 → 195
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.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 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
(/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(neg.f64 y)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)
(/.f64 y (exp.f64 z))
(exp.f64 z)
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(* 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))))))
(+ (* 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))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (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)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(* 5000000000000000/5641895835477563 y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
(* -5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* x (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (pow y 2))) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* -1 (* x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* x (- (* -1 (* x (+ (* -5641895835477563/5000000000000000 (/ (* (exp z) (* (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) y)) (+ (* -1 (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
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)))))
(/ (- (* -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 y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* 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 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)
(/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x)
(* x y)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
(* -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)))
(* -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))
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(+ (* z (- (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (+ (* -5641895835477563/30000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (+ (* 5641895835477563/5000000000000000 (/ (* y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 3) (pow (- (* x y) 5641895835477563/5000000000000000) 4)))) (* -5641895835477563/10000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))) (* (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (+ (* 5641895835477563/5000000000000000 (/ (* y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 3) (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)))) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (- (* x y) 5641895835477563/5000000000000000)))))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 3) (pow (- (* x y) 5641895835477563/5000000000000000) 4)))) (* -5641895835477563/10000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))) (* -5641895835477563/5000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))) (/ 1 (- x (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) y)
(+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))))
(+ (* -1 x) (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))
(+ (* -1 x) (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))
(/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))))
(exp z)
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/ 1 (- x (/ 1 x))) (- x (/ 1 x)) (/ 1 (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) (neg y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
3.0ms
z
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/ 1 (- x (/ 1 x))) (- x (/ 1 x)) (/ 1 (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) (neg y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
3.0ms
z
@0
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/ 1 (- x (/ 1 x))) (- x (/ 1 x)) (/ 1 (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) (neg y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
3.0ms
y
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/ 1 (- x (/ 1 x))) (- x (/ 1 x)) (/ 1 (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) (neg y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
3.0ms
y
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/ 1 (- x (/ 1 x))) (- x (/ 1 x)) (/ 1 (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ (* (neg y) x) (* 5641895835477563/5000000000000000 (exp z))) (neg y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))

simplify306.0ms (3.8%)

Memory
-3.5MiB live, 144.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09594989
129734921
084164596
Stop Event
iter limit
node limit
Counts
195 → 193
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))))))
(+ (* 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))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (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)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(* 5000000000000000/5641895835477563 y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
(* -5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* x (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (pow y 2))) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* -1 (* x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) y)) (* x (- (* x (- (* -1 (* x (+ (* -5641895835477563/5000000000000000 (/ (* (exp z) (* (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) y)) (+ (* -1 (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))) (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (* (pow (exp z) 3) (pow (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))) 2)) (pow y 3))) (* 5000000000000000/5641895835477563 (/ y (exp z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow (exp z) 2) (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (pow y 2))))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
x
(* x (- 1 (/ 1 (pow x 2))))
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(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(- x (/ y (- (* x y) 5641895835477563/5000000000000000)))
(- (+ x (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (/ y (- (* x y) 5641895835477563/5000000000000000)))
(- (+ x (* 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)))))))) (/ y (- (* x y) 5641895835477563/5000000000000000)))
(- (+ x (* 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)))))))))))) (/ y (- (* x y) 5641895835477563/5000000000000000)))
(/ 1 (- x (/ y (- (* x y) 5641895835477563/5000000000000000))))
(+ (* 5641895835477563/5000000000000000 (/ (* y z) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (/ 1 (- x (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 3) (pow (- (* x y) 5641895835477563/5000000000000000) 4)))) (* -5641895835477563/10000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))) (* -5641895835477563/5000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))) (/ 1 (- x (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (+ (* -5641895835477563/30000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (+ (* 5641895835477563/5000000000000000 (/ (* y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 3) (pow (- (* x y) 5641895835477563/5000000000000000) 4)))) (* -5641895835477563/10000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))) (* (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (+ (* 5641895835477563/5000000000000000 (/ (* y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 3) (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)))) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (- (* x y) 5641895835477563/5000000000000000)))))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 3) (pow (- (* x y) 5641895835477563/5000000000000000) 4)))) (* -5641895835477563/10000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))) (* -5641895835477563/5000000000000000 (/ y (* (pow (- x (/ y (- (* x y) 5641895835477563/5000000000000000))) 2) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))) (/ 1 (- x (/ y (- (* x y) 5641895835477563/5000000000000000)))))
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) y)
(+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))))
(+ (* -1 x) (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))
(+ (* -1 x) (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))
(/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))))
(exp z)
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y 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 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (*.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64))) 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 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x #s(literal 1 binary64))) x))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(*.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y)
(+ (* 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 (fma.f64 (*.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
(- (* 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))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (*.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64))) x))
(- (* 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)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x #s(literal 1 binary64))) x))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(* -5000000000000000/5641895835477563 y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -5000000000000000/5641895835477563 binary64)) y)
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64))) x (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
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y
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1
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rewrite337.0ms (4.2%)

Memory
4.3MiB live, 162.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043268
070260
1318258
22351258
08334254
Stop Event
iter limit
node limit
iter limit
Counts
23 → 646
Calls
Call 1
Inputs
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(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.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 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
(/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(neg.f64 y)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)
(/.f64 y (exp.f64 z))
(exp.f64 z)
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 y)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) x)) (*.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) x)) (*.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) (neg.f64 x))) (*.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) x)) (*.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (neg.f64 x))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))

eval197.0ms (2.5%)

Memory
17.5MiB live, 207.2MiB allocated
Compiler

Compiled 30 723 to 3 762 computations (87.8% saved)

prune29.0ms (0.4%)

Memory
-15.0MiB live, 69.3MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New81614830
Fresh314
Picked415
Done213
Total82517842
Accuracy
100.0%
Counts
842 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
22.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))))
22.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
75.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
68.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
70.7%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
68.9%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
64.3%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
60.7%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z)) x))
43.9%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
49.0%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
78.5%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
57.4%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
46.5%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
57.4%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
15.2%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
43.9%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
Compiler

Compiled 951 to 661 computations (30.5% saved)

simplify107.0ms (1.3%)

Memory
20.9MiB live, 134.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y))
cost-diff0
(fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x)
cost-diff0
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
cost-diff128
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y))
cost-diff0
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
cost-diff0
(fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x)
cost-diff0
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
cost-diff0
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff0
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff0
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
cost-diff0
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff320
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051393
077363
1135363
2256335
3531335
41285333
53987333
66662333
08151318
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(+.f64 #s(literal 0 binary64) y)
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
y
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x)
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
y
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
x
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x)
#s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
(neg.f64 y)
#s(literal 5000000000000000/5641895835477563 binary64)
x
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(-.f64 (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) y) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) y)
#s(literal 0 binary64)
(*.f64 y y)
y
(+.f64 #s(literal 0 binary64) y)
y
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
y
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
#s(literal -5641895835477563/5000000000000000 binary64)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) y x))
(fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x)
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) y x)
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
(/.f64 y #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))
y
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
#s(approx (exp z) (+.f64 z #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
x
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x)
(fma.f64 #s(approx (/ y (exp z)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) #s(literal 5000000000000000/5641895835477563 binary64) x)
#s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y))
#s(approx (/ y (exp z)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
(neg.f64 y)
#s(literal 5000000000000000/5641895835477563 binary64)
x

localize157.0ms (2%)

Memory
1.3MiB live, 203.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)
accuracy0.07421875
(fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x)
accuracy5.649457149344238
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
accuracy16.465597896642056
#s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y))
accuracy0.00390625
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
accuracy0.07421875
(fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x)
accuracy5.649457149344238
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
accuracy16.042820641099084
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
accuracy0.00390625
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
accuracy4.630445069646528
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy6.607397806000679
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy20.071982197178787
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
accuracy0.27734375
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy6.607397806000679
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
accuracy31.194498794154267
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
accuracy0.08203125
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
accuracy2.657525395313416
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
accuracy16.0444815703553
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy20.722156184990826
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
Samples
61.0ms176×0valid
36.0ms80×0exit
Compiler

Compiled 672 to 99 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 18.0ms (28.2% of total)
ival-div: 15.0ms (23.5% of total)
const: 12.0ms (18.8% of total)
ival-add: 11.0ms (17.3% of total)
ival-sub: 4.0ms (6.3% of total)
ival-exp: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series148.0ms (1.9%)

Memory
-31.8MiB live, 45.1MiB allocated
Counts
21 → 134
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(+.f64 #s(literal 0 binary64) y)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x)
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x)
#s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)
Outputs
(* 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))))))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(- (* 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))))
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y
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1
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(- (* 1/2 (* y z)) y)
5641895835477563/5000000000000000
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Calls

9 calls:

TimeVariablePointExpression
121.0ms
x
@0
((/ (- 0 (* y y)) (+ 0 y)) (/ 1 (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ 0 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* (* 1/2 y) z) (neg y)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (* 1/2 y) z) (neg y)) z) y))
8.0ms
y
@0
((/ (- 0 (* y y)) (+ 0 y)) (/ 1 (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ 0 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* (* 1/2 y) z) (neg y)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (* 1/2 y) z) (neg y)) z) y))
6.0ms
z
@-inf
((/ (- 0 (* y y)) (+ 0 y)) (/ 1 (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ 0 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* (* 1/2 y) z) (neg y)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (* 1/2 y) z) (neg y)) z) y))
3.0ms
y
@inf
((/ (- 0 (* y y)) (+ 0 y)) (/ 1 (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ 0 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* (* 1/2 y) z) (neg y)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (* 1/2 y) z) (neg y)) z) y))
3.0ms
y
@-inf
((/ (- 0 (* y y)) (+ 0 y)) (/ 1 (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (/ (- 0 (* y y)) (+ 0 y)) x) (* 5641895835477563/5000000000000000 (exp z))) y) (+ 0 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/ y (+ (* y x) -5641895835477563/5000000000000000)) (+ (* y x) -5641895835477563/5000000000000000) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (exp z) (+ (* (* 1/2 y) z) (neg y)) (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (/ y (exp z)) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (+ (* (* 1/2 y) z) (neg y)) z) y))

simplify304.0ms (3.8%)

Memory
9.0MiB live, 222.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06382495
119492422
258482384
082352217
Stop Event
iter limit
node limit
Counts
134 → 132
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 (- (* 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))))))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(- (* 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)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(* 5000000000000000/5641895835477563 y)
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(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
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(* -5000000000000000/5641895835477563 y)
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-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(/ -1 x)
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(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
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x
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(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)
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(* 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 y)) (* 5641895835477563/5000000000000000 (exp z))) y)
y
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
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(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))
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(* y (- (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(/ y (exp z))
(* y (- (* 1/2 z) 1))
(* y (+ 1 (* z (- (* 1/2 z) 1))))
(- (* -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)))
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(- x (/ 1 x))
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(- (+ 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)))) (+ (* -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) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
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(- (+ x (* 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)))))))))))) (/ y (- (* x y) 5641895835477563/5000000000000000)))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(- (* 1/2 (* y z)) y)
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))))))
(+ y (* z (+ (* -1 y) (* 1/2 (* y z)))))
(/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))))
(- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(exp z)
(* 1/2 (* y z))
(* z (+ (* -1 (/ y z)) (* 1/2 y)))
(* 5641895835477563/5000000000000000 (exp z))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 (/ y z)) (* 1/2 y)))
(* (pow z 2) (- (+ (* 1/2 y) (/ y (pow z 2))) (/ y z)))
(* -1 (* z (+ (* -1/2 y) (/ y z))))
(* (pow z 2) (+ (* -1 (/ (+ y (* -1 (/ y z))) z)) (* 1/2 y)))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(*.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y)
(+ (* 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 (fma.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+ (* 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))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) x (*.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x))
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
(- (* 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))))
(fma.f64 (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 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)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) x (*.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x x))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x (fma.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(* -5000000000000000/5641895835477563 y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -5000000000000000/5641895835477563 binary64)) y)
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #s(literal 1 binary64)) 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)
(/.f64 (fma.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (exp.f64 z) x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x)
x
(* x (- 1 (/ 1 (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(*.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) (/.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))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 x) x)
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) x)
(/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) x)
(* x y)
(*.f64 x y)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
(fma.f64 (*.f64 (/.f64 (/.f64 y (exp.f64 z)) x) #s(literal 5000000000000000/5641895835477563 binary64)) x x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #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 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) y) y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) 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))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 x))) x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) (/.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)))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
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(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
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(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))))) z (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) y)
(/.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) y)
(+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 (/.f64 z y) #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(+ (* -1 x) (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))
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(+ (* -1 x) (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z y) #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) z (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(- x (/ y (- (* x y) 5641895835477563/5000000000000000)))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(- (+ x (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (/ y (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(- (+ x (* 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)))))))) (/ y (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(- (+ x (* 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)))))))))))) (/ y (- (* x y) 5641895835477563/5000000000000000)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) z (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) y) #s(literal -5000000000000000/5641895835477563 binary64)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) y (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 0 binary64)) z) #s(literal -5000000000000000/5641895835477563 binary64))) z (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
(+ y (* -1 (* y z)))
(fma.f64 (neg.f64 z) y y)
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 0 binary64)) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(- (* 1/2 (* y z)) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)
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 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ y (* z (+ (* -1 y) (* 1/2 (* y z)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
(/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))))
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(exp z)
(exp.f64 z)
(* 1/2 (* y z))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z)
(* z (+ (* -1 (/ y z)) (* 1/2 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 y) z)) z)
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 1/2 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)
(* (pow z 2) (+ (* -1 (/ y z)) (* 1/2 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 y) z)) z) z)
(* (pow z 2) (- (+ (* 1/2 y) (/ y (pow z 2))) (/ y z)))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y z) z)) (/.f64 y z)) (*.f64 z z))
(* -1 (* z (+ (* -1/2 y) (/ y z))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 y) z)) z)
(* (pow z 2) (+ (* -1 (/ (+ y (* -1 (/ y z))) z)) (* 1/2 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (/.f64 y z) y) z)) z) z)

rewrite211.0ms (2.6%)

Memory
-5.5MiB live, 240.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050306
075274
1356264
23028257
09787247
Stop Event
iter limit
node limit
iter limit
Counts
21 → 559
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)
(+.f64 #s(literal 0 binary64) y)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))
#s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x)
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x)
#s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 y (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) y)
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y (pow.f64 (/.f64 y y) #s(literal 1 binary64)))
(*.f64 y (/.f64 y y))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 y y))
(/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
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(+.f64 y (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z)))
(+.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z))
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z y))

eval282.0ms (3.5%)

Memory
-14.3MiB live, 179.1MiB allocated
Compiler

Compiled 26 609 to 2 932 computations (89% saved)

prune25.0ms (0.3%)

Memory
19.3MiB live, 58.8MiB allocated
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New6036609
Fresh2810
Picked235
Done022
Total60719626
Accuracy
100.0%
Counts
626 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
22.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))))
22.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
74.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) y)))
68.6%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
70.7%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
68.9%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
64.3%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
60.7%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z)) x))
49.0%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
43.9%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 #s(approx (+ (* (* 1/2 y) z) (neg y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
64.3%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
78.5%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
57.4%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
44.3%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
46.5%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
57.4%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
15.2%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
43.9%
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) y) #s(literal -5000000000000000/5641895835477563 binary64)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
Compiler

Compiled 1 578 to 627 computations (60.3% saved)

regimes108.0ms (1.4%)

Memory
-18.5MiB live, 99.7MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 #s(approx (+ (* (* 1/2 y) z) (neg y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) y) #s(literal -5000000000000000/5641895835477563 binary64)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z)) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 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 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z)) x))
Calls

6 calls:

35.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
24.0ms
y
16.0ms
x
11.0ms
z
11.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
92.7%1x
92.7%1y
99.9%3z
99.6%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes27.0ms (0.3%)

Memory
8.6MiB live, 43.9MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 #s(approx (+ (* (* 1/2 y) z) (neg y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) y) #s(literal -5000000000000000/5641895835477563 binary64)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

12.0ms
z
7.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.6%3z
99.6%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.6%3(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes39.0ms (0.5%)

Memory
12.9MiB live, 60.5MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 #s(approx (+ (* (* 1/2 y) z) (neg y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) y) #s(literal -5000000000000000/5641895835477563 binary64)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
Calls

4 calls:

16.0ms
z
8.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
7.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
93.3%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.6%3z
99.6%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.6%3(exp.f64 z)
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes22.0ms (0.3%)

Memory
-0.8MiB live, 37.5MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 #s(approx (+ (* (* 1/2 y) z) (neg y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) y) #s(literal -5000000000000000/5641895835477563 binary64)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 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)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

7.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.6%3z
99.6%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.6%3(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes37.0ms (0.5%)

Memory
-16.8MiB live, 21.1MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 #s(approx (+ (* (* 1/2 y) z) (neg y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (+ (* (/ y (exp z)) 5000000000000000/5641895835477563) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) y) #s(literal -5000000000000000/5641895835477563 binary64)) z (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 (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

25.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.5%3z
99.5%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.5%3(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes23.0ms (0.3%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp 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)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))
Calls

5 calls:

5.0ms
y
5.0ms
z
5.0ms
x
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
78.5%1x
78.5%1y
92.3%3z
89.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
89.6%2(exp.f64 z)
Compiler

Compiled 9 to 19 computations (-111.1% saved)

regimes23.0ms (0.3%)

Memory
-13.8MiB live, 24.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))
Calls

4 calls:

13.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
4.0ms
z
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
89.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
89.6%2(exp.f64 z)
86.5%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
89.6%2z
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes18.0ms (0.2%)

Memory
-16.6MiB live, 24.5MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #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 (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

4 calls:

9.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
z
3.0ms
(exp.f64 z)
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
84.0%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
79.0%3z
79.0%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
79.0%3(exp.f64 z)
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) 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 (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.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
84.0%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes21.0ms (0.3%)

Memory
-4.2MiB live, 32.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 z) y y)) #s(literal 5000000000000000/5641895835477563 binary64) x))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))))
Calls

6 calls:

7.0ms
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
62.7%2z
61.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
61.1%2(exp.f64 z)
63.1%3y
60.8%3x
61.7%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (+.f64 (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) x))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
62.7%2z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
Outputs
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
Calls

6 calls:

2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
z
2.0ms
y
2.0ms
x
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
57.4%1x
57.4%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
57.4%1(exp.f64 z)
57.4%1y
57.4%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
57.4%1z
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes10.0ms (0.1%)

Memory
-20.4MiB live, 18.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

4.0ms
x
1.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
1.0ms
y
1.0ms
z
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
15.2%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
15.2%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
15.2%1(exp.f64 z)
15.2%1y
15.2%1x
15.2%1z
Compiler

Compiled 21 to 29 computations (-38.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000119398074176
1.0947488445124032
0.0ms
0.0
1.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1274816499430385
+inf
0.0ms
0.0
1.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1274816499430385
+inf
0.0ms
0.0
1.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1274816499430385
+inf
0.0ms
0.0
1.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1274816499430385
+inf
0.0ms
0.0
1.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch50.0ms (0.6%)

Memory
-7.9MiB live, 29.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
4.20801175504766e+69
7.862823909898663e+75
23.0ms
-850381789399526000.0
-5.0840550794068904e-30
Samples
33.0ms336×0valid
Compiler

Compiled 984 to 772 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 11.0ms (43.8% of total)
ival-exp: 4.0ms (15.9% of total)
ival-mult: 4.0ms (15.9% of total)
ival-div: 2.0ms (8% of total)
ival-add: 2.0ms (8% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-850381789399526000.0
-5.0840550794068904e-30
Compiler

Compiled 507 to 412 computations (18.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005128348556706537
7751042.013264673
0.0ms
-7772.384552681247
-1.1387968833045983
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005128348556706537
7751042.013264673
0.0ms
-7772.384552681247
-1.1387968833045983
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch12.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-1.432075328119053e+67
-1.674827504816782e+66
Samples
7.0ms96×0valid
Compiler

Compiled 345 to 262 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (21.4% of total)
ival-exp: 1.0ms (21.4% of total)
ival-mult: 1.0ms (21.4% of total)
const: 1.0ms (21.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.432075328119053e+67
-1.674827504816782e+66
Compiler

Compiled 363 to 268 computations (26.2% saved)

simplify53.0ms (0.7%)

Memory
-17.3MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131831
1163831
2194831
3207831
4214831
5216831
Stop Event
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))) (if (<=.f64 (exp.f64 z) #s(literal 4728779608739021/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z)) 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))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) 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))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) 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))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) 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))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 z #s(literal -255 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 900000000000000086733230315498755630559395348786198330628736850501566464 binary64)) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))) x))))
(if (<=.f64 z #s(literal -255 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.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 -5000 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y 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 -5000 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 z #s(literal -3000000000000000023039211183097908907200598297747970289956890345472 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x)))) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 z #s(literal -3000000000000000023039211183097908907200598297747970289956890345472 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))))) #s(approx (/ 1 (- x (/ 1 x))) (neg.f64 x)))) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)))
#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.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))) (if (<=.f64 (exp.f64 z) #s(literal 4728779608739021/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z)) x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 4728779608739021/4503599627370496 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) x) #s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) (fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z)) x))))
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#s(approx (/ 1 (/ 1 (- x (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)))))) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))

soundness1.5s (19.3%)

Memory
32.8MiB live, 1 099.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07254461
122494405
276684383
082254073
01034
01634
15734
245134
3744434
0811833
042282
071278
1305278
22274278
08228278
09594989
129734921
084164596
050306
075274
1356264
23028257
09787247
03031507
18651491
225651415
082111334
043268
070260
1318258
22351258
08334254
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 412 to 631 computations (55.3% saved)

preprocess85.0ms (1.1%)

Memory
-14.9MiB live, 177.6MiB allocated
Compiler

Compiled 1 710 to 308 computations (82% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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