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

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze231.0ms (3%)

Memory
-0.0MiB live, 242.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.6s (20.5%)

Memory
23.6MiB live, 1 213.4MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 856.0ms
ival-mult: 276.0ms (32.2% of total)
ival-exp: 171.0ms (20% of total)
const: 165.0ms (19.3% of total)
ival-add: 102.0ms (11.9% of total)
ival-div: 90.0ms (10.5% of total)
ival-sub: 43.0ms (5% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain147.0ms (1.9%)

Memory
25.2MiB live, 118.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
220-2(1.8088848007872412e-115 -7.122596525812056e-209 -1.2039990612589246e+35)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
80-0-(-.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 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue80
↳(exp.f64 z)overflow63
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow63
↳(*.f64 x y)overflow24
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u80
↳(exp.f64 z)underflow53
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow53
↳(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow8
↳(*.f64 x y)underflow29
Confusion
Predicted +Predicted -
+162
-0238
Precision
1.0
Recall
0.8888888888888888
Confusion?
Predicted +Predicted MaybePredicted -
+1602
-00238
Precision?
1.0
Recall?
0.8888888888888888
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 102 to 34 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 19.0ms (47.4% of total)
const: 8.0ms (19.9% of total)
ival-exp: 4.0ms (10% of total)
ival-div: 3.0ms (7.5% of total)
ival-sub: 2.0ms (5% of total)
ival-add: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess160.0ms (2.1%)

Memory
-16.1MiB live, 125.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042115
195113
2197113
3534111
41734111
01012
01612
12512
24812
312212
438112
5256112
6727612
0807812
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
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 (/.f64 y (neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.3%
(+.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)

simplify114.0ms (1.5%)

Memory
7.6MiB live, 194.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
cost-diff0
(+.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
12543
24843
312243
438143
5256143
6727643
0807843
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 (/.f64 y (neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(*.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)

localize33.0ms (0.4%)

Memory
-22.9MiB live, 69.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy0.0
(exp.f64 z)
accuracy1.5976562500000002
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy5.176881999867219
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
24.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (31.9% of total)
const: 4.0ms (25.5% of total)
ival-div: 2.0ms (12.8% of total)
ival-exp: 2.0ms (12.8% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
26.6MiB live, 26.6MiB allocated
Counts
5 → 69
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))
(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))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(exp z)
Calls

9 calls:

TimeVariablePointExpression
2.0ms
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)) (exp z))
2.0ms
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)) (exp z))
2.0ms
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)) (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)) (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)) (exp z))

simplify207.0ms (2.7%)

Memory
-10.2MiB live, 278.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161526
19431497
232421422
082021347
Stop Event
1×iter limit
1×node limit
Counts
69 → 68
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))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(exp 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))))))
(+.f64 x (/.f64 (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z)))
(+ (* 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 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 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 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 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 #s(literal 5000000000000000/5641895835477563 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (/.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (exp.f64 z))) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) x))
(+ (* 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 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 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 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
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 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #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)) (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) (*.f64 x x))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (-.f64 (*.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)
(/.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 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (-.f64 #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))) x))) x)
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(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 4 binary64)))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/30000000000000000 binary64)))) (neg.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/10000000000000000 binary64))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(- 5641895835477563/5000000000000000 (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(- (+ 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 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(- (+ 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 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
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))
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))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
(exp z)
(exp.f64 z)

rewrite213.0ms (2.7%)

Memory
24.2MiB live, 258.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
15336
238436
3491336
0951933
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 229
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))
(exp.f64 z)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.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 (-.f64 (/.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))) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.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))) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.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 (*.f64 (-.f64 (/.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)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.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)))) (-.f64 (*.f64 (-.f64 (/.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)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 (/.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))))) (neg.f64 (fma.f64 (-.f64 (/.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))) (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64))) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.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)))) (fma.f64 (-.f64 (/.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))) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) 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 (fma.f64 (-.f64 (/.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))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (fma.f64 (-.f64 (/.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))) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 2 binary64))) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))
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(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.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))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.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))) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.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))) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.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))) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.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))) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.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))) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)))) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.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))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.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))) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) (*.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)))
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(exp.f64 (neg.f64 (neg.f64 z)))
(exp.f64 z)
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eval42.0ms (0.5%)

Memory
-4.2MiB live, 99.4MiB allocated
Compiler

Compiled 10 635 to 1 272 computations (88% saved)

prune14.0ms (0.2%)

Memory
-6.5MiB live, 39.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New27913292
Fresh000
Picked101
Done000
Total28013293
Accuracy
100.0%
Counts
293 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.1%
(fma.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (/.f64 y (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
85.6%
(+.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))))
▶86.0%
(+.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))))
83.2%
(+.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))))
82.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
65.9%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
▶70.5%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
▶69.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
63.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
▶57.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
13.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
▶61.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
39.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #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))) x)) (*.f64 x x)) #s(literal 1 binary64))))
Compiler

Compiled 586 to 424 computations (27.6% saved)

simplify134.0ms (1.7%)

Memory
-6.3MiB live, 184.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
cost-diff1
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
cost-diff1
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
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
#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
045367
074367
1120367
2241367
3648367
42194367
08307358
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (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)
(+.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)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y)
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)
z
y
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x))
x
(/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
#s(literal 5641895835477563/5000000000000000 binary64)
y
(/.f64 (exp.f64 z) x)
(exp.f64 z)
z
#s(literal 1 binary64)
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 (/.f64 y (fma.f64 (neg.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)
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 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)))))
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 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))))
#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)
(+.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)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) z) #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x)
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) z) #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(/.f64 (fma.f64 (*.f64 (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) z) #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)
(fma.f64 (*.f64 (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) z) #s(literal 5641895835477563/5000000000000000 binary64) y)
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(*.f64 (*.f64 (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) z) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y)
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)
z
y
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 (exp.f64 z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x))
(-.f64 x (/.f64 (fma.f64 (/.f64 (exp.f64 z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64)) x))
x
(/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (/.f64 (exp.f64 z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (exp.f64 z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
#s(literal 5641895835477563/5000000000000000 binary64)
y
(/.f64 (exp.f64 z) x)
(exp.f64 z)
z
#s(literal 1 binary64)

localize202.0ms (2.6%)

Memory
3.5MiB live, 229.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)
accuracy0.046875
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64))
accuracy0.2421875
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
accuracy27.482826005915253
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
accuracy0.234375
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
accuracy7.058669758600976
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
accuracy7.821033255494592
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
accuracy24.62794290415828
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
accuracy0.0
(*.f64 x x)
accuracy0.179045000000296
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy15.463698748041438
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy19.5765190693756
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
accuracy29.87510797189528
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
accuracy0.109375
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy1.5976562500000002
(-.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))
accuracy5.176881999867219
(/.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)))
accuracy20.683940607544553
#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
132.0ms256×0valid
Compiler

Compiled 271 to 38 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-div: 58.0ms (57.3% of total)
ival-mult: 19.0ms (18.8% of total)
const: 11.0ms (10.9% of total)
ival-add: 5.0ms (4.9% of total)
ival-sub: 4.0ms (4% of total)
ival-exp: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series116.0ms (1.5%)

Memory
-6.4MiB live, 135.3MiB allocated
Counts
24 → 170
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)))
(+.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)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 x x)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
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)))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(/ -1 (pow x 2))
(/ (- (pow x 2) 1) (pow x 2))
(/ 1 (pow x 2))
(+ y (* -1 (* y z)))
(+ y (+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z)))))
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z)))))))
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z)))))))))
(* -1 (* y z))
(+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z))))))))
(* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(/ (- (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(/ (- (* x (- (pow x 2) 1)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) x)
(pow x 2)
(* 5000000000000000/5641895835477563 (+ y (* -1 (* y z))))
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) z)) (* -5000000000000000/5641895835477563 (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))))))))) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y 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))
1
(- 1 (/ 1 (pow x 2)))
y
(+ y (* 5641895835477563/5000000000000000 (/ z x)))
(+ y (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y)))))
(+ y (+ (* 5641895835477563/5000000000000000 (/ z x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))))))
(* 5641895835477563/5000000000000000 (/ z x))
(/ (+ (* 5641895835477563/5000000000000000 z) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y)))) x)
(/ (+ (* 5641895835477563/5000000000000000 z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))))) x)
(/ (+ (* 5641895835477563/5000000000000000 z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3))))))) x)
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
(+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))
(/ (- (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y)))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y))))) x)
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y))))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y)))))) 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 (/ (+ 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))))
(+ y (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (* -5641895835477563/5000000000000000 z)) x)))
(+ y (* -1 (/ (+ (* -5641895835477563/5000000000000000 z) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z y)) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* x (pow y 2))))) x))) x)))
(* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (* -5641895835477563/5000000000000000 z)) x))
(* -1 (/ (+ (* -5641895835477563/5000000000000000 z) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z y)) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* x (pow y 2))))) x))) x))
(* -1 (/ (+ (* -5641895835477563/5000000000000000 z) (* -1 (/ (+ (* -1 (/ (+ (* -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* x (pow y 3)))) (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 2)))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z y))) x))) x))
(* -1 (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 3))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) y))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) 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))))))
(* 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)))))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (+ (* -1 z) (* -5000000000000000/5641895835477563 (* x (* y z))))))
(* y (+ 1 (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) (* y z))))))))
(* y (+ 1 (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 3) (* y z))))))))))
(* y (+ (* -1 z) (* -5000000000000000/5641895835477563 (* x (* y z)))))
(* y (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) (* y z)))))))
(* y (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 3) (* y z)))))))))
(/ (- (* y (- x (/ 1 x))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)
(/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (/ y x)) y)
(/ (+ y (* 5641895835477563/5000000000000000 (/ (exp z) x))) y)
(* 5000000000000000/5641895835477563 (* y (+ 1 (* -1 z))))
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z))))))))
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5641895835477563/5000000000000000
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Calls

9 calls:

TimeVariablePointExpression
36.0ms
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)) (+ 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)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z) (/ 5641895835477563/5000000000000000 y))
31.0ms
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)) (+ 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)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z) (/ 5641895835477563/5000000000000000 y))
7.0ms
y
@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)) (+ 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)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z) (/ 5641895835477563/5000000000000000 y))
5.0ms
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)) (+ 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)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z) (/ 5641895835477563/5000000000000000 y))
5.0ms
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)) (+ 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)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z) (/ 5641895835477563/5000000000000000 y))

simplify250.0ms (3.2%)

Memory
39.7MiB live, 275.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07473995
124853820
086373594
Stop Event
1×iter limit
1×node limit
Counts
170 → 168
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))))))
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(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(/ -1 (pow x 2))
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(/ 1 (pow x 2))
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(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) x)
(pow x 2)
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x
(* x (- 1 (/ 1 (pow x 2))))
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(* 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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(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
1
(- 1 (/ 1 (pow x 2)))
y
(+ y (* 5641895835477563/5000000000000000 (/ z x)))
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(/ 1 x)
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(* y (+ 1 (* 5641895835477563/5000000000000000 (/ z (* x y)))))
(* y (+ 1 (+ (* 5641895835477563/5000000000000000 (/ z (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))))))
(* y (+ 1 (+ (* 5641895835477563/5000000000000000 (/ z (* x y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3))))))))
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))))
(+ (* 5641895835477563/5000000000000000 (/ z x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2))))))
(+ (* 5641895835477563/5000000000000000 (/ z x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 4) (pow y 3)))))))
(+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))))
(- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) (* x (pow y 3)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))))
(- (+ 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))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ z (* x y))) 1)))
(* -1 (* y (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y)))) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2)))) y)) (* 5641895835477563/5000000000000000 (/ z x))) y)) 1)))
(+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2)))) y)) (* 5641895835477563/5000000000000000 (/ z x)))
(+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2))) (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 3))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 4) y)))) y))) y)) (* 5641895835477563/5000000000000000 (/ z x)))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 4))) (* 5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) x))) y))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ 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))))))
(+ y (* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y)))))
(* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y))))
(- x (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* z (- (* -5641895835477563/10000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* z (- (* z (- (* -5641895835477563/30000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/10000000000000000 (/ 1 (* (pow x 2) y))))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(+ (* 5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/10000000000000000 (/ 1 (* (pow x 2) y))))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* 5641895835477563/5000000000000000 (/ z (* x y)))))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* z (+ (* 5641895835477563/10000000000000000 (/ z (* x y))) (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z (* x y))) (* 5641895835477563/10000000000000000 (/ 1 (* x y))))) (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(* -5641895835477563/5000000000000000 z)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y)))) (/ y z)))
(- x (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(* -1 (* z (+ (* -1 (/ y z)) (* 5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y)))))))
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (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 (- (+ 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 x (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (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 (- (+ 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (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)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (pow x 2) 1) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (pow x 2) 1) (pow x 2))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 z y))
(+ y (+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z)))))
(*.f64 (fma.f64 (*.f64 (*.f64 z y) x) #s(literal -5000000000000000/5641895835477563 binary64) (-.f64 #s(literal 1 binary64) z)) y)
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -5000000000000000/5641895835477563 binary64))) x (-.f64 y (*.f64 z y)))
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) x) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) x (*.f64 (*.f64 (*.f64 z y) y) #s(literal -5000000000000000/5641895835477563 binary64))) x (-.f64 y (*.f64 z y)))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))
(*.f64 (fma.f64 (*.f64 (*.f64 z y) x) #s(literal -5000000000000000/5641895835477563 binary64) (neg.f64 z)) y)
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))
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5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
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(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
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(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
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(* z (+ (* -5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y)))) (/ y z)))
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(- x (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
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(* 5641895835477563/10000000000000000 z)
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/10000000000000000 binary64)) z)
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
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(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) z)
(* -1 (* z (+ (* -1 (/ y z)) (* 5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y)))))))
(*.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 y (neg.f64 z))) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) (neg.f64 z))

rewrite262.0ms (3.4%)

Memory
-10.8MiB live, 325.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045319
074319
1293311
22161311
08735307
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 309
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)))
(+.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)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 x x)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 (neg.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))))))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.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)))))) (pow.f64 (/.f64 y (fma.f64 (neg.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))))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.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)))))) (-.f64 x (/.f64 y (fma.f64 (neg.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))))))))
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(neg.f64 (/.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(fma.f64 (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 y (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (neg.f64 y))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
(neg.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))

eval77.0ms (1%)

Memory
-4.6MiB live, 176.6MiB allocated
Compiler

Compiled 20 124 to 2 473 computations (87.7% saved)

prune16.0ms (0.2%)

Memory
19.3MiB live, 65.9MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4645469
Fresh538
Picked415
Done000
Total4739482
Accuracy
100.0%
Counts
482 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
52.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
▶53.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
✓69.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
45.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
63.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
▶61.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
▶13.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
▶67.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
Compiler

Compiled 522 to 333 computations (36.2% saved)

simplify154.0ms (2%)

Memory
1.5MiB live, 188.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
cost-diff0
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
cost-diff0
(exp.f64 z)
cost-diff0
(/.f64 y (exp.f64 z))
cost-diff0
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
#s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)
cost-diff0
(-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
cost-diff0
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055488
083488
1144488
2322488
31046488
44635488
08462484
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
(-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x))
x
(/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)
#s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
y
#s(literal 1 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y (exp.f64 z))
y
(exp.f64 z)
z
#s(literal 5000000000000000/5641895835477563 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64))
(*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
z
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
y
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
#s(literal 2 binary64)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y)
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64))) x)))
(-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x))
(-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64))) x))
x
(/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)
(/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64))) x)
#s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
y
#s(literal 1 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(/.f64 y (exp.f64 z))
y
(exp.f64 z)
z
#s(literal 5000000000000000/5641895835477563 binary64)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x)
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (neg.f64 y) y))
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z) #s(literal 2 binary64))
(*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z)
z
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
y
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
#s(literal 2 binary64)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(*.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y)
(-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z)) y)
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)

localize358.0ms (4.6%)

Memory
8.4MiB live, 240.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.6132729933208236
(fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
accuracy4.673877031042211
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
accuracy15.771473657371104
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
accuracy27.318190510985847
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
accuracy0.0
(exp.f64 z)
accuracy0.0078125
(/.f64 y (exp.f64 z))
accuracy0.140625
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
accuracy42.51180209502156
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.04296875
(/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)
accuracy0.379401380415876
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
accuracy14.265487973495556
#s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64)))
accuracy27.482826005915253
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
accuracy12.615408512524244
(*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
accuracy19.5765190693756
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
accuracy26.823422400619073
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
accuracy0.0
(*.f64 x y)
accuracy1.5976562500000002
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
accuracy1.8130350246479288
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
accuracy16.70299193467901
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
Samples
206.0ms52×0exit
119.0ms204×0valid
Compiler

Compiled 338 to 45 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-div: 198.0ms (71.8% of total)
const: 21.0ms (7.6% of total)
ival-mult: 20.0ms (7.3% of total)
ival-sub: 20.0ms (7.3% of total)
ival-add: 10.0ms (3.6% of total)
ival-pow2: 3.0ms (1.1% of total)
ival-exp: 2.0ms (0.7% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series159.0ms (2%)

Memory
-6.7MiB live, 113.3MiB allocated
Counts
22 → 171
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
(-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x))
(/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)
#s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y (exp.f64 z))
(exp.f64 z)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 x y)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
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)))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(/ -1 (pow x 2))
(/ (- (pow x 2) 1) (pow x 2))
(* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(/ (- (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(/ (- (* x (- (pow x 2) 1)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) x)
(* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y)))
(+ (* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y))) (* x (- (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))))
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(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z (* x y))) (* 5641895835477563/10000000000000000 (/ 1 (* x y))))) (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 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 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ (* -1 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- x (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(exp z)
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* (pow z 2) (+ (* -1 (/ (pow y 2) (pow z 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
Calls

9 calls:

TimeVariablePointExpression
67.0ms
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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* x y) (/ 5641895835477563/5000000000000000 (* y x)) (/ y (- 5641895835477563/5000000000000000 (* y x))))
48.0ms
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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* x y) (/ 5641895835477563/5000000000000000 (* y x)) (/ y (- 5641895835477563/5000000000000000 (* y x))))
9.0ms
y
@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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* x y) (/ 5641895835477563/5000000000000000 (* y x)) (/ y (- 5641895835477563/5000000000000000 (* y x))))
7.0ms
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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* x y) (/ 5641895835477563/5000000000000000 (* y x)) (/ y (- 5641895835477563/5000000000000000 (* y x))))
6.0ms
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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- x (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x)) (/ (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) x) (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* x y) (/ 5641895835477563/5000000000000000 (* y x)) (/ y (- 5641895835477563/5000000000000000 (* y x))))

simplify262.0ms (3.4%)

Memory
7.9MiB live, 233.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09755491
132895408
086395141
Stop Event
1×iter limit
1×node limit
Counts
171 → 169
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)))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(/ -1 (pow x 2))
(/ (- (pow x 2) 1) (pow x 2))
(* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(/ (- (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(/ (- (* x (- (pow x 2) 1)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) x)
(* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y)))
(+ (* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y))) (* x (- (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y))) (* x (- (+ (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* x (- (* -5641895835477563/5000000000000000 (/ (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2)))) (- (* -1 (* y z)) y))) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (+ (* -5000000000000000/5641895835477563 (* (pow y 3) z)) (* 5000000000000000/5641895835477563 (* (pow y 3) z)))) (pow (- (* -1 (* y z)) y) 2))) (* 5000000000000000/5641895835477563 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))) (- (* -1 (* y z)) y))))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y))) (* x (- (+ (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* x (- (+ (* -5641895835477563/5000000000000000 (/ (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2)))) (- (* -1 (* y z)) y))) (* x (- (* -5641895835477563/5000000000000000 (/ (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow y 5) (pow z 2))) (* 10000000000000000/5641895835477563 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))))))) (- (* -1 (* y z)) y))) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 4) z)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 4) z)))) (pow (- (* -1 (* y z)) y) 2))) (+ (* 5000000000000000/5641895835477563 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (- (* -5641895835477563/5000000000000000 (/ (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2)))) (- (* -1 (* y z)) y))) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (+ (* -5000000000000000/5641895835477563 (* (pow y 3) z)) (* 5000000000000000/5641895835477563 (* (pow y 3) z)))) (pow (- (* -1 (* y z)) y) 2))) (* 5000000000000000/5641895835477563 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))) (- (* -1 (* y z)) y)))))) (- (* -1 (* y z)) y))) (* 5000000000000000/5641895835477563 (/ (* (+ (* -5000000000000000/5641895835477563 (* (pow y 3) z)) (* 5000000000000000/5641895835477563 (* (pow y 3) z))) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))) (- (* -1 (* y z)) y)))))))) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (+ (* -5000000000000000/5641895835477563 (* (pow y 3) z)) (* 5000000000000000/5641895835477563 (* (pow y 3) z)))) (pow (- (* -1 (* y z)) y) 2))) (* 5000000000000000/5641895835477563 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (- (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))) (- (* -1 (* y z)) y))))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))))
(+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))
(+ (* -1 (pow y 2)) (+ (* 10000000000000000/5641895835477563 (* x (* (pow y 3) (pow z 2)))) (* (pow y 2) (pow z 2))))
(+ (* -1 (pow y 2)) (+ (* x (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2)))))) (* 10000000000000000/5641895835477563 (* (pow y 3) (pow z 2))))) (* (pow y 2) (pow z 2))))
(+ (* -1 (pow y 2)) (+ (* x (+ (* 10000000000000000/5641895835477563 (* (pow y 3) (pow z 2))) (* x (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (* x (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow y 5) (pow z 2))) (* 10000000000000000/5641895835477563 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))))))))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) (pow z 2))))))))) (* (pow y 2) (pow z 2))))
(* x y)
(/ 5641895835477563/5000000000000000 (* x y))
(* 5000000000000000/5641895835477563 y)
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))
(+ (* 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)))))
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)
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(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (* (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (* (pow x 3) (pow y 3))))) 1))
(* (pow y 2) (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ (pow z 2) (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 4)))) (pow y 4))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (* (pow x 3) (pow y 3)))))) 1))
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- (+ 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))))
(- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3)))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (pow x 4))) (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 2)))) (pow x 2))) (+ (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)))) (pow x 3)) (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3))))) x)))) y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3)))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3)))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (pow x 2)))) y)) (/ 1 x))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ (pow z 2) (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 4)))) y))) (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (* (pow x 2) (pow y 2))))) 1))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ 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 (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* z (- (* -5641895835477563/10000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* z (- (* z (- (* -5641895835477563/30000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/10000000000000000 (/ 1 (* (pow x 2) y))))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)))
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(+ (* 5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z (* (pow x 2) y))) (* 5641895835477563/10000000000000000 (/ 1 (* (pow x 2) y))))) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* 5641895835477563/5000000000000000 (/ z (* x y)))))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* z (+ (* 5641895835477563/10000000000000000 (/ z (* x y))) (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z (* x y))) (* 5641895835477563/10000000000000000 (/ 1 (* x y))))) (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 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 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ (* -1 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- x (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(exp z)
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* (pow z 2) (+ (* -1 (/ (pow y 2) (pow z 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (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 (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (-.f64 (fma.f64 (*.f64 x (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (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 (- (+ 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 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 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.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 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.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)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (pow x 2) 1) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (pow x 2) 1) (pow x 2))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x x)) (/.f64 (exp.f64 z) y))
(/ (- (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 x x))
(/ (- (* x (- (pow x 2) 1)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 x x))
(* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))
(*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x x)) (/.f64 (exp.f64 z) y))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) x) (*.f64 x x))
(* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))
(*.f64 (/.f64 (/.f64 (exp.f64 z) x) y) #s(literal 5641895835477563/5000000000000000 binary64))
(/ (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))) x)
(/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) x) x)
(* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y)))
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(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (*.f64 x x) y)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (*.f64 x x) y))) z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) x)))
(+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* 5641895835477563/5000000000000000 (/ z (* x y)))))
(+.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) #s(literal 1 binary64))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* z (+ (* 5641895835477563/10000000000000000 (/ z (* x y))) (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 1 binary64))
(+ 1 (+ (* 5641895835477563/5000000000000000 (/ 1 (* x y))) (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z (* x y))) (* 5641895835477563/10000000000000000 (/ 1 (* x y))))) (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))))
(+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 y x)) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 1 binary64))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (-.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) y) z))) z (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 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 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) z (*.f64 #s(literal -1/2 binary64) y))) z (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) z (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
y
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 z y))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y) z 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 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)
(+ 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 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (neg.f64 y) y))
(+ 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)))
(- x (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(-.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x x)) (/.f64 (exp.f64 z) y) x) (/.f64 #s(literal 1 binary64) x))
(exp z)
(exp.f64 z)
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) z) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) z)
(* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(*.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(* (pow z 2) (+ (* -1 (/ (pow y 2) (pow z 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (*.f64 z z))
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))))

rewrite292.0ms (3.8%)

Memory
13.7MiB live, 247.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055379
083379
1318373
22304319
08906312
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 220
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
(-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x))
(/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)
#s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y (exp.f64 z))
(exp.f64 z)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 x y)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
Outputs
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x)) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 y x) (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 (/.f64 y (-.f64 (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 y (-.f64 (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp 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)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))))
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(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 1 binary64)))

eval106.0ms (1.4%)

Memory
-13.9MiB live, 139.4MiB allocated
Compiler

Compiled 24 667 to 2 451 computations (90.1% saved)

prune15.0ms (0.2%)

Memory
-6.8MiB live, 38.6MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New4056411
Fresh123
Picked235
Done011
Total40812420
Accuracy
100.0%
Counts
420 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓82.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
52.2%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
▶61.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
✓69.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
▶45.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
▶13.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
✓61.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
▶13.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
13.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
13.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
✓67.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
▶22.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
Compiler

Compiled 661 to 425 computations (35.7% saved)

simplify281.0ms (3.6%)

Memory
-7.8MiB live, 146.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 z)
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff0
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
cost-diff0
(*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff3
(fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64)))
cost-diff3
(fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
cost-diff0
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
cost-diff0
(/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
cost-diff0
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
cost-diff0
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
cost-diff1
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074611
0107607
1185583
2409583
31172569
43560569
08242550
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y)
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)
z
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal -5000000000000000/5641895835477563 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)
(-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y)
(*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z)
(fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(neg.f64 z)
z
(fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64)))
#s(literal 1/2 binary64)
y
(*.f64 y #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
(exp.f64 z)
z
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y))) x)
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y)))
(/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y))
#s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y)
(-.f64 (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) y)
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)
#s(literal -5641895835477563/5000000000000000 binary64)
z
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) x)
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal -5000000000000000/5641895835477563 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 z y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 z y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y))
#s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 z y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) y) z y))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)
(fma.f64 (-.f64 (*.f64 (*.f64 z y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) y) z y)
(-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y)
(-.f64 (*.f64 (*.f64 z y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) y)
(*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z)
(*.f64 (*.f64 z y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(neg.f64 z)
z
(fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64)))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
(exp.f64 z)
z

localize342.0ms (4.4%)

Memory
-30.5MiB live, 255.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 z)
accuracy0.0078125
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
accuracy0.23828125
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy42.51180209502156
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
accuracy0.28515625
(*.f64 y #s(literal -1/3 binary64))
accuracy0.53125
(fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64)))
accuracy16.477812215878878
#s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y))
accuracy42.51180209502156
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.109375
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
accuracy0.1953125
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
accuracy15.771473657371104
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
accuracy29.823785798948748
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy19.5765190693756
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
accuracy23.76045591835483
#s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))
accuracy4.673877031042211
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
accuracy10.075385110865405
#s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y))
accuracy15.771473657371104
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
accuracy27.318190510985847
(/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
Samples
243.0ms204×0valid
61.0ms52×0exit
Compiler

Compiled 374 to 60 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 55.0ms (42.2% of total)
const: 38.0ms (29.1% of total)
ival-div: 16.0ms (12.3% of total)
ival-add: 8.0ms (6.1% of total)
ival-sub: 6.0ms (4.6% of total)
ival-pow2: 3.0ms (2.3% of total)
ival-exp: 2.0ms (1.5% of total)
ival-neg: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series72.0ms (0.9%)

Memory
3.1MiB live, 49.6MiB allocated
Counts
24 → 180
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
(fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(exp.f64 z)
#s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y))
(*.f64 y #s(literal -1/3 binary64))
Outputs
(* -1 (* y z))
(+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z))))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 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))))))
(* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y)))
(+ (* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y))) (* x (- (* 50000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow y 3) (pow z 2)) (- (* -1 (* y z)) y))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (+ (* -1 (* y (- (* -1 (* y z)) y))) (* -1 (* (pow y 2) z))) (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2)))) (pow (- (* -1 (* y z)) y) 2))))))
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(- (* -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 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3)))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (pow x 4))) (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 2)))) (pow x 2))) (+ (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)))) (pow x 3)) (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3))))) x)))) y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3)))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3)))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 4))) (* 5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) x))) y))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x))
(* -1 (* y (- (* 1/6 z) 1/2)))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ (pow z 2) (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 4)))) y))) (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (* (pow x 2) (pow y 2))))) 1))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y))))
(+ 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))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(* 1/2 y)
(+ (* -1 (* z (+ (* -1/3 y) (* 1/2 y)))) (* 1/2 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 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))))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ (* -1 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
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)))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -1 (* z (+ (* -1/3 y) (* 1/2 y))))
(* z (+ (* -1 (+ (* -1/3 y) (* 1/2 y))) (* 1/2 (/ y z))))
(exp z)
(* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* (pow z 2) (+ (* -1 (/ (pow y 2) (pow z 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -1/2 (/ y z)) (+ (* -1/3 y) (* 1/2 y)))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (+ (* 1/2 y) (* y -1/3)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* 5000000000000000/5641895835477563 y) (exp z)) (* 5000000000000000/5641895835477563 y) (exp z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (/ y (- 5641895835477563/5000000000000000 (* y x))) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (/ y (exp z)) (* y -1/3))
4.0ms
z
@inf
((* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (+ (* 1/2 y) (* y -1/3)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* 5000000000000000/5641895835477563 y) (exp z)) (* 5000000000000000/5641895835477563 y) (exp z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (/ y (- 5641895835477563/5000000000000000 (* y x))) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (/ y (exp z)) (* y -1/3))
3.0ms
y
@inf
((* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (+ (* 1/2 y) (* y -1/3)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* 5000000000000000/5641895835477563 y) (exp z)) (* 5000000000000000/5641895835477563 y) (exp z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (/ y (- 5641895835477563/5000000000000000 (* y x))) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (/ y (exp z)) (* y -1/3))
3.0ms
z
@-inf
((* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (+ (* 1/2 y) (* y -1/3)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* 5000000000000000/5641895835477563 y) (exp z)) (* 5000000000000000/5641895835477563 y) (exp z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (/ y (- 5641895835477563/5000000000000000 (* y x))) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (/ y (exp z)) (* y -1/3))
3.0ms
y
@0
((* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (* (- (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) y) (- 5641895835477563/5000000000000000 (* y x)))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (+ (* 1/2 y) (* y -1/3)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* 5000000000000000/5641895835477563 y) (exp z)) (* 5000000000000000/5641895835477563 y) (exp z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (/ y (- 5641895835477563/5000000000000000 (* y x))) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (/ y (exp z)) (* y -1/3))

simplify272.0ms (3.5%)

Memory
58.4MiB live, 273.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011996387
141536284
081055966
Stop Event
1×iter limit
1×node limit
Counts
180 → 178
Calls
Call 1
Inputs
(* -1 (* y z))
(+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z))))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 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))))))
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(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2)))) y)) (* 5641895835477563/5000000000000000 (/ z x)))
(+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2))) (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 3))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 4) y)))) y))) y)) (* 5641895835477563/5000000000000000 (/ z 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 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3)))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (pow x 4))) (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 2)))) (pow x 2))) (+ (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)))) (pow x 3)) (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3))))) x)))) y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 3)))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z x))) (pow x 2))) (/ (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (pow x 3)))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 4))) (* 5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) x))) y))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x))
(* -1 (* y (- (* 1/6 z) 1/2)))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ (pow z 2) (pow x 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ (pow z 2) (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (pow x 4)))) y))) (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow z 2) (* (pow x 2) (pow y 2))))) 1))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y))))
(+ 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))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(* 1/2 y)
(+ (* -1 (* z (+ (* -1/3 y) (* 1/2 y)))) (* 1/2 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 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))))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ (* -1 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
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)))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -1 (* z (+ (* -1/3 y) (* 1/2 y))))
(* z (+ (* -1 (+ (* -1/3 y) (* 1/2 y))) (* 1/2 (/ y z))))
(exp z)
(* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* (pow z 2) (+ (* -1 (/ (pow y 2) (pow z 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -1/2 (/ y z)) (+ (* -1/3 y) (* 1/2 y)))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
Outputs
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) x) (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))
(fma.f64 (neg.f64 y) z (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -5000000000000000/5641895835477563 binary64))) x))
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z))))))))
(fma.f64 (neg.f64 y) z (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) x) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) x (*.f64 (*.f64 (*.f64 y y) z) #s(literal -5000000000000000/5641895835477563 binary64))) x))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+ (* 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 (fma.f64 (*.f64 x (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+ (* 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.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))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+ (* 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 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 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 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(* 5000000000000000/5641895835477563 (/ (+ (* -1 (pow y 2)) (* (pow y 2) (pow z 2))) (- (* -1 (* y z)) y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 5000000000000000/5641895835477563 binary64))
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(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* -1 (* z (+ (* -1/3 y) (* 1/2 y)))) (* 1/2 y))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (+.f64 y (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) z (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 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 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) z (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) 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 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))
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5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
y
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 z y))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y) z 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 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 y) x))) x)
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 y) x)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) z) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))))
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) z))) z)
(* -5000000000000000/5641895835477563 (* y z))
(*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z)
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(*.f64 (fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) z)
(* -1 (* z (+ (* -1/3 y) (* 1/2 y))))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) z)
(* z (+ (* -1 (+ (* -1/3 y) (* 1/2 y))) (* 1/2 (/ y z))))
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)
(exp z)
(exp.f64 z)
(* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow y 2) (pow z 2)) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(* (pow z 2) (+ (* -1 (/ (pow y 2) (pow z 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow y 2) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (*.f64 z z))
(* -5000000000000000/5641895835477563 z)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(*.f64 (-.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z)
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) z))) (neg.f64 z))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(*.f64 (fma.f64 (/.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) (neg.f64 z))
(* -1 (* z (+ (* -1/2 (/ y z)) (+ (* -1/3 y) (* 1/2 y)))))
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (neg.f64 z))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(*.f64 (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) (neg.f64 z))

rewrite254.0ms (3.3%)

Memory
-30.3MiB live, 166.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074488
0107484
1385465
22592465
08472462
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 250
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
(fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(exp.f64 z)
#s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y))
(*.f64 y #s(literal -1/3 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) y) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) y) (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) z)
(*.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 z (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 y (/.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
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(/.f64 (neg.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y))) (neg.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(/.f64 (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z))) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (neg.f64 (+.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z)) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (neg.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (+.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z)) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(/.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))
(-.f64 (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))))
(-.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))))
(-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))
(-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (neg.f64 z) #s(literal -5000000000000000/5641895835477563 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (/.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z z) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(+.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))
(+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
#s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y))
(*.f64 #s(literal -1/3 binary64) y)
(*.f64 y #s(literal -1/3 binary64))

eval125.0ms (1.6%)

Memory
7.1MiB live, 104.1MiB allocated
Compiler

Compiled 27 853 to 3 060 computations (89% saved)

prune28.0ms (0.4%)

Memory
-9.5MiB live, 36.9MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New4206426
Fresh123
Picked235
Done044
Total42315438
Accuracy
100.0%
Counts
438 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (-.f64 (*.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) #s(literal -5641895835477563/5000000000000000 binary64)) y))) x)
✓82.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
61.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 #s(approx (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (*.f64 (neg.f64 y) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
✓69.4%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
55.7%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
✓13.8%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
✓61.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 1 binary64))) x)))
✓13.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
12.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (neg.f64 z) #s(literal -1/3 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
13.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
13.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
13.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
13.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
✓67.5%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
✓22.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
Compiler

Compiled 1 522 to 610 computations (59.9% saved)

regimes80.0ms (1%)

Memory
8.3MiB live, 53.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #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 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))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 #s(approx (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (*.f64 (neg.f64 y) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (neg.f64 z) #s(literal -1/3 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (-.f64 (*.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) #s(literal -5641895835477563/5000000000000000 binary64)) y))) x)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #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))) x)) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (/.f64 y (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

41.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
8.0ms
x
8.0ms
y
8.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
99.9%3(exp.f64 z)
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.5%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
95.2%2x
93.3%1y
99.9%3z
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes26.0ms (0.3%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #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 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))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 #s(approx (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (*.f64 (neg.f64 y) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (neg.f64 z) #s(literal -1/3 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (-.f64 (*.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) #s(literal -5641895835477563/5000000000000000 binary64)) y))) x)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
Calls

4 calls:

7.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
7.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.5%3(exp.f64 z)
99.5%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.5%3z
97.4%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes32.0ms (0.4%)

Memory
-33.3MiB live, 13.7MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) z)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (neg z) (+ (* 1/2 y) (* y -1/3))) (* 1/2 y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(approx (+ (* (/ 5641895835477563/5000000000000000 y) (/ (exp z) x)) 1) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #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 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))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (*.f64 y #s(literal -1/3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (pow (* z (/ y (- 5641895835477563/5000000000000000 (* y x)))) 2)) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 #s(approx (* (/ y (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) (*.f64 (neg.f64 y) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (neg.f64 z) #s(literal -1/3 binary64)) y)) z) y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
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)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
Calls

3 calls:

5.0ms
z
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.5%3(exp.f64 z)
99.5%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.5%3z
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes14.0ms (0.2%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

2.0ms
z
2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
x
2.0ms
y
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
88.8%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
77.9%3y
75.8%3x
83.8%3(exp.f64 z)
83.8%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
86.9%3z
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes11.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
Outputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) 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
x
2.0ms
y
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
75.4%4x
70.8%3y
72.8%3(exp.f64 z)
72.8%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
76.9%4z
71.1%3(+.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)

regimes41.0ms (0.5%)

Memory
-44.3MiB live, 3.8MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (-.f64 y (*.f64 z y))) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
Calls

1 calls:

41.0ms
z
Results
AccuracySegmentsBranch
76.9%4z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
Outputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
Calls

1 calls:

1.0ms
z
Results
AccuracySegmentsBranch
74.6%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
67.5%1y
67.5%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
67.5%1(exp.f64 z)
67.5%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
67.5%1x
67.5%1z
Compiler

Compiled 21 to 29 computations (-38.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.326864129822752e+253
1.185345786889912e+284
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch69.0ms (0.9%)

Memory
8.5MiB live, 52.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
8.566410699780122e-19
9.205599184090842e-5
17.0ms
-1.2039990612589246e+35
-2.1269392239037735e+29
Samples
24.0ms304×0valid
Compiler

Compiled 1 007 to 731 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
const: 5.0ms (30.3% of total)
ival-mult: 4.0ms (24.3% of total)
ival-exp: 3.0ms (18.2% of total)
ival-div: 2.0ms (12.1% of total)
ival-sub: 1.0ms (6.1% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.566410699780122e-19
9.205599184090842e-5
1.0ms
-1.2039990612589246e+35
-2.1269392239037735e+29
Compiler

Compiled 665 to 579 computations (12.9% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.295752240257049e-7
1636.3580426023889
0.0ms
-100266.67398500783
-3.0820525523156554e-20
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch38.0ms (0.5%)

Memory
22.9MiB live, 22.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
5.8543500251367805e-62
5.769061571973004e-58
15.0ms
-1.7746253088142672e-122
-1.455325740985335e-126
4.0ms
-5.2552536286931374e+123
-4.736361867774463e+123
Samples
22.0ms288×0valid
Compiler

Compiled 1 123 to 798 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
const: 4.0ms (27% of total)
ival-mult: 3.0ms (20.2% of total)
ival-div: 2.0ms (13.5% of total)
ival-exp: 2.0ms (13.5% of total)
ival-sub: 1.0ms (6.7% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory
-41.8MiB live, 4.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.8543500251367805e-62
5.769061571973004e-58
19.0ms
-1.7746253088142672e-122
-1.455325740985335e-126
0.0ms
-5.2552536286931374e+123
-4.736361867774463e+123
Compiler

Compiled 1 171 to 846 computations (27.8% saved)

bsearch3.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.8543500251367805e-62
5.769061571973004e-58
1.0ms
-1.7746253088142672e-122
-1.455325740985335e-126
Compiler

Compiled 1 071 to 768 computations (28.3% saved)

simplify78.0ms (1%)

Memory
27.7MiB live, 71.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094562
1144562
2231562
3437562
41047562
54166562
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 z #s(literal -215000000000000014126818525184 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 6640827866535439/73786976294838206464 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -215000000000000014126818525184 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 6640827866535439/73786976294838206464 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #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 -100000 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 z #s(literal -4899999999999999758673331402852116314500839488814907939339064904953214598075098293094788475626662450422243199004422071910400 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)))))
(if (<=.f64 z #s(literal -4899999999999999758673331402852116314500839488814907939339064904953214598075098293094788475626662450422243199004422071910400 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)))))
(if (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
Outputs
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(if (<=.f64 z #s(literal -215000000000000014126818525184 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 6640827866535439/73786976294838206464 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -215000000000000014126818525184 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 6640827866535439/73786976294838206464 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #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 -100000 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
(if (or (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -100000 binary64)) (not (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 4722366482869645/9444732965739290427392 binary64)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)))
(if (<=.f64 z #s(literal -4899999999999999758673331402852116314500839488814907939339064904953214598075098293094788475626662450422243199004422071910400 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)))))
(if (<=.f64 z #s(literal -4899999999999999758673331402852116314500839488814907939339064904953214598075098293094788475626662450422243199004422071910400 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))) (if (or (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (not (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))))))
(if (<=.f64 z #s(literal -4899999999999999758673331402852116314500839488814907939339064904953214598075098293094788475626662450422243199004422071910400 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)))))
(if (<=.f64 z #s(literal -4899999999999999758673331402852116314500839488814907939339064904953214598075098293094788475626662450422243199004422071910400 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))) (if (or (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (not (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))))
(if (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))))
(if (or (<=.f64 z #s(literal -2604989987875455/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (not (<=.f64 z #s(literal 5427754182999197/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))

soundness702.0ms (9%)

Memory
-10.6MiB live, 662.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07473995
124853820
086373594
03161526
19431497
232421422
082021347
011996387
141536284
081055966
09755491
132895408
086395141
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 888 to 392 computations (55.9% saved)

preprocess109.0ms (1.4%)

Memory
38.2MiB live, 199.2MiB allocated
Compiler

Compiled 1 172 to 242 computations (79.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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