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

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze204.0ms (2.6%)

Memory
-29.4MiB live, 207.8MiB allocated; 63ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.3s (16.5%)

Memory
8.8MiB live, 1 774.6MiB allocated; 348ms collecting garbage
Samples
972.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 636.0ms
ival-mult: 172.0ms (27.1% of total)
const: 156.0ms (24.5% of total)
ival-div: 115.0ms (18.1% of total)
ival-exp: 72.0ms (11.3% of total)
ival-add: 71.0ms (11.2% of total)
ival-sub: 38.0ms (6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain281.0ms (3.5%)

Memory
26.9MiB live, 307.5MiB allocated; 27ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
220-0-(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
30-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-y
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u80
(exp.f64 z)underflow62
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow62
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow8
(*.f64 x y)underflow31
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue30
(exp.f64 z)overflow64
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow64
(*.f64 x y)overflow19
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 102 to 34 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 10.0ms (31.6% of total)
const: 8.0ms (25.3% of total)
ival-div: 4.0ms (12.6% of total)
ival-exp: 4.0ms (12.6% of total)
ival-add: 3.0ms (9.5% of total)
ival-sub: 2.0ms (6.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess166.0ms (2.1%)

Memory
-19.0MiB live, 131.8MiB allocated; 68ms collecting garbage
Algorithm
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
iter limit
node limit
iter limit
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.7%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify123.0ms (1.5%)

Memory
35.9MiB live, 123.8MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
cost-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
iter limit
node limit
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)

localize59.0ms (0.7%)

Memory
-5.3MiB live, 93.0MiB allocated; 23ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 z)
accuracy0.01171875
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy0.6015625000000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy5.256404080535623
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
52.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sub: 18.0ms (48.5% of total)
ival-exp: 8.0ms (21.6% of total)
const: 4.0ms (10.8% of total)
ival-mult: 3.0ms (8.1% of total)
ival-div: 2.0ms (5.4% of total)
ival-add: 1.0ms (2.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-12.8MiB live, 31.3MiB allocated; 9ms collecting garbage
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
5.0ms
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))
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
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))
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))
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))

simplify291.0ms (3.7%)

Memory
9.3MiB live, 298.5MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161526
19431497
232421422
082021347
Stop Event
iter limit
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)
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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)

rewrite242.0ms (3.1%)

Memory
-0.0MiB live, 240.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
15336
238436
3491336
0951933
Stop Event
iter limit
node limit
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 z)
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eval58.0ms (0.7%)

Memory
1.1MiB live, 84.0MiB allocated; 20ms collecting garbage
Compiler

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

prune22.0ms (0.3%)

Memory
-24.9MiB live, 35.2MiB allocated; 21ms collecting garbage
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
29.3%
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84.4%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))))
84.0%
(+.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))))
84.4%
(+.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))))
81.6%
(+.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))))
80.0%
(+.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))))
69.3%
(+.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)))))
68.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
57.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (*.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z)) y x))
65.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
14.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
60.7%
#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))
Compiler

Compiled 610 to 432 computations (29.2% saved)

simplify108.0ms (1.4%)

Memory
50.9MiB live, 184.7MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 z)
cost-diff0
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
cost-diff0
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
cost-diff0
(/.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
041313
068313
1104313
2205313
3489313
41262313
53782313
08205313
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(+.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 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
#s(literal 5000000000000000/5641895835477563 binary64)
(exp.f64 z)
z
y
x
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 (/.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 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x)
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
#s(literal 5000000000000000/5641895835477563 binary64)
(exp.f64 z)
z
y
x

localize171.0ms (2.2%)

Memory
-6.5MiB live, 141.1MiB allocated; 17ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 z)
accuracy0.01171875
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
accuracy0.08203125
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
accuracy7.279658712532961
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.6015625000000001
(-.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))
accuracy2.414392728369622
(/.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)))
accuracy5.2852319021201
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.20270456066223974
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy11.29482174307216
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy19.880283346507635
#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)))
accuracy31.728816483432865
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
accuracy0.0859375
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.6015625000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy2.414392728369622
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy8.324537110860783
#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
94.0ms195×0valid
16.0ms61×0exit
Compiler

Compiled 223 to 35 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 15.0ms (30.5% of total)
const: 15.0ms (30.5% of total)
ival-add: 7.0ms (14.2% of total)
ival-div: 6.0ms (12.2% of total)
ival-exp: 2.0ms (4.1% of total)
ival-sub: 2.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.8%)

Memory
-18.3MiB live, 26.9MiB allocated; 10ms collecting garbage
Counts
22 → 95
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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
(exp.f64 z)
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 x x)
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 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))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(pow x 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)
(/ (- (* -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)))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y (* x (exp z)))) 1)))
(+ 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))
(* y (+ (* 5000000000000000/5641895835477563 (/ 1 (exp z))) (/ x 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 (- (* -1 (/ x y)) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ 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 (* 5000000000000000/5641895835477563 y))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(+ 5000000000000000/5641895835477563 (* z (- (* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))) 5000000000000000/5641895835477563)))
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(/ 5000000000000000/5641895835477563 (exp z))
(exp z)
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
Calls

9 calls:

TimeVariablePointExpression
47.0ms
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)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
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)) (+ 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)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
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)) (+ 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)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
2.0ms
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)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))
2.0ms
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)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (* x x) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000))

simplify427.0ms (5.4%)

Memory
-17.9MiB live, 125.8MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03941757
112231721
243271658
090411557
Stop Event
iter limit
node limit
Counts
95 → 94
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))
(/ 1 (pow x 2))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(pow x 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)
(/ (- (* -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)))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y (* x (exp z)))) 1)))
(+ 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))
(* y (+ (* 5000000000000000/5641895835477563 (/ 1 (exp z))) (/ x 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 (- (* -1 (/ x y)) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ 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 (* 5000000000000000/5641895835477563 y))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(+ 5000000000000000/5641895835477563 (* z (- (* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))) 5000000000000000/5641895835477563)))
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(/ 5000000000000000/5641895835477563 (exp z))
(exp z)
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x))
(+ (* 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))))))
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(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 4 binary64)))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 4 binary64)))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(- 5641895835477563/5000000000000000 (* x y))
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 (neg.f64 y) x (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) y (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) y (*.f64 #s(literal 1/2 binary64) y)) z) #s(literal -5000000000000000/5641895835477563 binary64))) z (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
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))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
(+ 5000000000000000/5641895835477563 (* z (- (* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))) 5000000000000000/5641895835477563)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 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))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(/ 5000000000000000/5641895835477563 (exp z))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
(exp z)
(exp.f64 z)
(* 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)
(* 5641895835477563/30000000000000000 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/30000000000000000 binary64)) z) z)
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/30000000000000000 binary64)) z) z)

rewrite367.0ms (4.6%)

Memory
5.6MiB live, 410.4MiB allocated; 121ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041267
068267
1278259
22054259
09120259
Stop Event
iter limit
node limit
iter limit
Counts
22 → 328
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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
(exp.f64 z)
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 x x)
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
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eval104.0ms (1.3%)

Memory
-19.7MiB live, 127.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 18 873 to 1 989 computations (89.5% saved)

prune45.0ms (0.6%)

Memory
-8.9MiB live, 36.9MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New4058413
Fresh538
Picked325
Done000
Total41313426
Accuracy
100.0%
Counts
426 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
36.7%
(+.f64 x (/.f64 y (/.f64 (+.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.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))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.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 (neg.f64 y) x)))))))
80.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
68.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
57.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (*.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z)) y x))
65.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
45.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
48.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
54.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
62.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
14.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
69.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
54.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)))
Compiler

Compiled 670 to 434 computations (35.2% saved)

simplify96.0ms (1.2%)

Memory
18.8MiB live, 120.5MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
cost-diff0
(neg.f64 x)
cost-diff0
(sqrt.f64 (neg.f64 x))
cost-diff5
(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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
cost-diff0
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y 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: 2 (0.0ms)

IterNodesCost
045320
071316
1110316
2230315
3564315
41083315
53146315
08078315
Stop Event
iter limit
node limit
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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(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
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
(-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
#s(literal 2500000000000000/5641895835477563 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
(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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
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 y) x #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 y) x #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 y) x #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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(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
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
(-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
#s(literal 2500000000000000/5641895835477563 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
(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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
(-.f64 (/.f64 y (fma.f64 (neg.f64 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)
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 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
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
(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)

localize350.0ms (4.4%)

Memory
-29.0MiB live, 166.4MiB allocated; 43ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.16796875
(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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
accuracy1.441248858394145
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
accuracy5.260641990013587
#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)))
accuracy0.0390625
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
accuracy0.15625
(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
accuracy3.644474333869265
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
accuracy10.60038035286046
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.0390625
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
accuracy0.0703125
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
accuracy3.644474333869265
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
accuracy10.62072844614461
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy5.427077879310655
(*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
accuracy10.445279797622279
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
accuracy12.6416866385782
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
accuracy0.0
(*.f64 x y)
accuracy0.39843750000000006
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
accuracy1.441248858394145
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
accuracy10.669752134122408
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
Samples
233.0ms106×0valid
42.0ms121×0invalid
9.0ms29×0exit
Compiler

Compiled 219 to 41 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 265.0ms
ival-mult: 222.0ms (83.8% of total)
const: 20.0ms (7.5% of total)
ival-add: 9.0ms (3.4% of total)
ival-div: 6.0ms (2.3% of total)
ival-sub: 3.0ms (1.1% of total)
ival-exp: 2.0ms (0.8% of total)
ival-sqrt: 2.0ms (0.8% of total)
ival-neg: 1.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Counts
23 → 126
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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
(*.f64 x y)
(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
#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 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(/ -1 (pow x 2))
(/ (- (pow x 2) 1) (pow x 2))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (pow (sqrt -1) 2) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (pow (sqrt -1) 2)) (* -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))))) (pow (sqrt -1) 2)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* (sqrt x) (sqrt -1))
(* -1 x)
(* x y)
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)))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
(* x (pow (sqrt -1) 2))
(* x (- (pow (sqrt -1) 2) (/ 1 (pow x 2))))
(* x (- (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))
(* x (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (pow (sqrt -1) 2)) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(* -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))))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y (* x (exp z)))) 1)))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))))))
(* -1 (* (sqrt x) (sqrt -1)))
(+ 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)))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (pow (sqrt -1) 2)))
(+ (* x (pow (sqrt -1) 2)) (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ (* x (pow (sqrt -1) 2)) (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- (* -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))
(* y (+ (* 5000000000000000/5641895835477563 (/ 1 (exp z))) (/ x y)))
(- (* x (pow (sqrt -1) 2)) (/ 1 x))
(- (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (* x (pow (sqrt -1) 2))) (/ 1 x))
(- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* x (pow (sqrt -1) 2))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (* x (pow (sqrt -1) 2))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(- (* -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 (- (* -1 (/ x y)) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- (+ (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y)) (* x (pow (sqrt -1) 2))) (/ 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)) (* x (pow (sqrt -1) 2))) (/ 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 (* 5000000000000000/5641895835477563 y))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(+ 5000000000000000/5641895835477563 (* z (- (* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))) 5000000000000000/5641895835477563)))
(+ (* x (pow (sqrt -1) 2)) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (+ (* x (pow (sqrt -1) 2)) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ (* x (pow (sqrt -1) 2)) (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ (* x (pow (sqrt -1) 2)) (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(* 2500000000000000/5641895835477563 z)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(/ 5000000000000000/5641895835477563 (exp z))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(* 2500000000000000/5641895835477563 (pow z 2))
(* (pow z 2) (- 2500000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))
(* (pow z 2) (- (+ 2500000000000000/5641895835477563 (/ 5000000000000000/5641895835477563 (pow z 2))) (* 5000000000000000/5641895835477563 (/ 1 z))))
(+ (* x (pow (sqrt -1) 2)) (/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))))
(/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(* (pow z 2) (+ 2500000000000000/5641895835477563 (* -1 (/ (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z))))
Calls

9 calls:

TimeVariablePointExpression
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)))) (* (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (sqrt (neg x)) (neg x) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (* x y) (* 2500000000000000/5641895835477563 z) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))
3.0ms
z
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (sqrt (neg x)) (neg x) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (* x y) (* 2500000000000000/5641895835477563 z) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))
3.0ms
z
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (sqrt (neg x)) (neg x) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (* x y) (* 2500000000000000/5641895835477563 z) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))
2.0ms
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)) (+ 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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (sqrt (neg x)) (neg x) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (* x y) (* 2500000000000000/5641895835477563 z) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))
2.0ms
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)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (sqrt (neg x)) (neg x) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (* x y) (* 2500000000000000/5641895835477563 z) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))

simplify169.0ms (2.1%)

Memory
20.6MiB live, 157.7MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04772708
115002573
251382462
083512327
Stop Event
iter limit
node limit
Counts
126 → 125
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))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (pow (sqrt -1) 2) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (pow (sqrt -1) 2)) (* -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))))) (pow (sqrt -1) 2)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* (sqrt x) (sqrt -1))
(* -1 x)
(* x y)
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)))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
(* x (pow (sqrt -1) 2))
(* x (- (pow (sqrt -1) 2) (/ 1 (pow x 2))))
(* x (- (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))
(* x (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (pow (sqrt -1) 2)) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(* -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))))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y (* x (exp z)))) 1)))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))))))
(* -1 (* (sqrt x) (sqrt -1)))
(+ 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)))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (pow (sqrt -1) 2)))
(+ (* x (pow (sqrt -1) 2)) (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ (* x (pow (sqrt -1) 2)) (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- (* -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))
(* y (+ (* 5000000000000000/5641895835477563 (/ 1 (exp z))) (/ x y)))
(- (* x (pow (sqrt -1) 2)) (/ 1 x))
(- (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (* x (pow (sqrt -1) 2))) (/ 1 x))
(- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* x (pow (sqrt -1) 2))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (* x (pow (sqrt -1) 2))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(- (* -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 (- (* -1 (/ x y)) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- (+ (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y)) (* x (pow (sqrt -1) 2))) (/ 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)) (* x (pow (sqrt -1) 2))) (/ 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 (* 5000000000000000/5641895835477563 y))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(+ 5000000000000000/5641895835477563 (* z (- (* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))) 5000000000000000/5641895835477563)))
(+ (* x (pow (sqrt -1) 2)) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (+ (* x (pow (sqrt -1) 2)) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ (* x (pow (sqrt -1) 2)) (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ (* x (pow (sqrt -1) 2)) (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(* 2500000000000000/5641895835477563 z)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(/ 5000000000000000/5641895835477563 (exp z))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(* 2500000000000000/5641895835477563 (pow z 2))
(* (pow z 2) (- 2500000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))
(* (pow z 2) (- (+ 2500000000000000/5641895835477563 (/ 5000000000000000/5641895835477563 (pow z 2))) (* 5000000000000000/5641895835477563 (/ 1 z))))
(+ (* x (pow (sqrt -1) 2)) (/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))))
(/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(* (pow z 2) (+ 2500000000000000/5641895835477563 (* -1 (/ (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.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)))) #s(literal 1 binary64)) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #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 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (pow x 2) 1) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ (- (pow x 2) 1) (pow x 2))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (pow (sqrt -1) 2) (* -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)))) #s(literal -1 binary64)) x))
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(+ (* x (pow (sqrt -1) 2)) (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 4 binary64)))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (-.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) x))
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))
(/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(fma.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 4 binary64)))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) y (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))
(* 2500000000000000/5641895835477563 z)
(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(/ 5000000000000000/5641895835477563 (exp z))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 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)
(* 2500000000000000/5641895835477563 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64))
(* (pow z 2) (- 2500000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))
(*.f64 (*.f64 (-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) z) z)
(* (pow z 2) (- (+ 2500000000000000/5641895835477563 (/ 5000000000000000/5641895835477563 (pow z 2))) (* 5000000000000000/5641895835477563 (/ 1 z))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) #s(literal -5000000000000000/5641895835477563 binary64)) z) #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 z z))
(+ (* x (pow (sqrt -1) 2)) (/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))))
(-.f64 (/.f64 y (fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))))
(/.f64 y (fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(* 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)
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(*.f64 (neg.f64 (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) z)
(* (pow z 2) (+ 2500000000000000/5641895835477563 (* -1 (/ (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z))))
(*.f64 (*.f64 (-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (/.f64 (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) z)) z) z)

rewrite260.0ms (3.3%)

Memory
-42.6MiB live, 247.5MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045272
071268
1290262
22139257
09885251
Stop Event
iter limit
node limit
iter limit
Counts
23 → 291
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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
(*.f64 x y)
(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
#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 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -5641895835477563/10000000000000000 binary64) z))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 z) #s(literal 5641895835477563/10000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(+.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(+.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))

eval78.0ms (1%)

Memory
26.3MiB live, 70.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 20 198 to 1 879 computations (90.7% saved)

prune25.0ms (0.3%)

Memory
-9.2MiB live, 36.2MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New4547461
Fresh156
Picked145
Done022
Total45618474
Accuracy
100.0%
Counts
474 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.4%
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(approx (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
71.8%
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
36.7%
(+.f64 x (/.f64 y (/.f64 (+.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.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))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.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 (neg.f64 y) x)))))))
80.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
68.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
2.1%
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
57.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (*.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z)) y x))
65.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
45.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
48.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
54.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
54.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
43.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64)))) y x))
47.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
62.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
14.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
69.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
19.9%
#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 826 to 546 computations (33.9% saved)

simplify134.0ms (1.7%)

Memory
-9.1MiB live, 90.3MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
cost-diff0
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
cost-diff0
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x)
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
cost-diff1
(-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))
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
(neg.f64 x)
cost-diff0
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048274
066268
1112268
2232267
3555267
41128267
53599267
08507263
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
y
(fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
x
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
(neg.f64 x)
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)
#s(literal -1 binary64)
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
(-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))
#s(literal 5000000000000000/5641895835477563 binary64)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)
z
y
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z)
(fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64))
#s(literal -2500000000000000/16925687506432689 binary64)
z
#s(literal 2500000000000000/5641895835477563 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
Outputs
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(+.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
y
(fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
x
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
(neg.f64 x)
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)
#s(literal -1 binary64)
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x)
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.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))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 5000000000000000/5641895835477563 binary64)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)
z
y
x
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z)
(fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64))
#s(literal -2500000000000000/16925687506432689 binary64)
z
#s(literal 2500000000000000/5641895835477563 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)
y
x

localize144.0ms (1.8%)

Memory
47.8MiB live, 138.1MiB allocated; 10ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64))
accuracy0.1171875
(*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z)
accuracy3.644474333869265
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
accuracy10.584799755779073
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.0390625
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x)
accuracy0.15625
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)
accuracy3.644474333869265
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
accuracy10.62072844614461
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy10.445279797622279
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x)))
accuracy13.904139092674495
#s(approx (* (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) x))
accuracy0.0
(neg.f64 x)
accuracy5.787339029370362
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
accuracy0.0
(fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.0
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
accuracy1.441248858394145
(/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy10.669752134122408
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
Samples
81.0ms121×0invalid
32.0ms106×0valid
9.0ms29×0exit
Compiler

Compiled 187 to 44 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 36.0ms (34.2% of total)
ival-div: 35.0ms (33.3% of total)
const: 16.0ms (15.2% of total)
ival-add: 8.0ms (7.6% of total)
ival-sub: 4.0ms (3.8% of total)
ival-exp: 2.0ms (1.9% of total)
ival-sqrt: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory
-33.3MiB live, 22.7MiB allocated; 16ms collecting garbage
Counts
20 → 144
Calls
Call 1
Inputs
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
(neg.f64 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 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)
(*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z)
(fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (pow (sqrt -1) 2) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (pow (sqrt -1) 2)) (* -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))))) (pow (sqrt -1) 2)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* -1 x)
(+ (* 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))))))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))))
(/ 1 x)
(/ (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
(/ (- (+ 1 (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))) (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
(/ (- (+ 1 (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(* x y)
(* x (+ y (* 5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (pow (sqrt -1) 2))
(* x (- (pow (sqrt -1) 2) (/ 1 (pow x 2))))
(* x (- (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))
(* x (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (pow (sqrt -1) 2)) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
(* -1 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (+ 1 (/ 1 (pow x 2))))))
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(/ y (+ 5641895835477563/5000000000000000 (* x y)))
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(+ 5641895835477563/5000000000000000 (* x y))
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5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
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(+ (* x (pow (sqrt -1) 2)) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
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5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
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(* 5000000000000000/5641895835477563 z)
(* 2500000000000000/5641895835477563 z)
(* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z)))
2500000000000000/5641895835477563
(+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))
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(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(/ 5000000000000000/5641895835477563 (exp z))
(* -2500000000000000/16925687506432689 (pow z 3))
(* (pow z 3) (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(* (pow z 3) (- (* 2500000000000000/5641895835477563 (/ 1 z)) (+ 2500000000000000/16925687506432689 (/ 5000000000000000/5641895835477563 (pow z 2)))))
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(* -2500000000000000/16925687506432689 (pow z 2))
(* (pow z 2) (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(* -2500000000000000/16925687506432689 z)
(* z (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(* -1 (* (pow z 3) (- 2500000000000000/16925687506432689 (* 2500000000000000/5641895835477563 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 2500000000000000/16925687506432689 (* -1 (/ (- 2500000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z)))))
(* -1 (* (pow z 3) (+ 2500000000000000/16925687506432689 (* -1 (/ (+ 2500000000000000/5641895835477563 (* -1 (/ (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z))) z)))))
(* -1 (* z (- 2500000000000000/16925687506432689 (* 2500000000000000/5641895835477563 (/ 1 z)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
((+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) (+ (* y x) (* 5641895835477563/5000000000000000 (exp z))) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 z) (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563))
4.0ms
z
@inf
((+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) (+ (* y x) (* 5641895835477563/5000000000000000 (exp z))) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 z) (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563))
2.0ms
z
@0
((+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) (+ (* y x) (* 5641895835477563/5000000000000000 (exp z))) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 z) (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563))
2.0ms
x
@-inf
((+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) (+ (* y x) (* 5641895835477563/5000000000000000 (exp z))) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 z) (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563))
2.0ms
x
@0
((+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) (+ (* y x) (* 5641895835477563/5000000000000000 (exp z))) (* 5641895835477563/5000000000000000 (exp z)) (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (- 1 (/ 1 (* x x))) x) (/ -1 x) (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (/ 5000000000000000/5641895835477563 (exp z)) (+ (* (- (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 z) (* (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) z) (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563))

simplify272.0ms (3.4%)

Memory
7.6MiB live, 198.9MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06023204
119283076
267602967
084362757
Stop Event
iter limit
node limit
Counts
144 → 143
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))
(+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (pow (sqrt -1) 2) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
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(* -1 x)
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(/ -1 x)
(/ (- (pow x 2) 1) x)
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
x
(* x (+ 1 (/ 1 (pow x 2))))
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(* x (+ y (* 5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (pow (sqrt -1) 2))
(* x (- (pow (sqrt -1) 2) (/ 1 (pow x 2))))
(* x (- (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (pow (sqrt -1) 2)) (/ 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)))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y (* x (exp z))))))
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(* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
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(* y (+ x (* 5641895835477563/5000000000000000 (/ (exp z) y))))
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(+ 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 (+ (* x y) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ 5641895835477563/5000000000000000 (+ (* x y) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
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 (pow (sqrt -1) 2)) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (+ (* x (pow (sqrt -1) 2)) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ (* x (pow (sqrt -1) 2)) (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ (* x (pow (sqrt -1) 2)) (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ 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)))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(+ 5000000000000000/5641895835477563 (* z (- (* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))) 5000000000000000/5641895835477563)))
(* 5000000000000000/5641895835477563 z)
(* 2500000000000000/5641895835477563 z)
(* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z)))
2500000000000000/5641895835477563
(+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))
(+ x (/ y (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(+ (* x (pow (sqrt -1) 2)) (/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(/ 5000000000000000/5641895835477563 (exp z))
(* -2500000000000000/16925687506432689 (pow z 3))
(* (pow z 3) (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(* (pow z 3) (- (* 2500000000000000/5641895835477563 (/ 1 z)) (+ 2500000000000000/16925687506432689 (/ 5000000000000000/5641895835477563 (pow z 2)))))
(* (pow z 3) (- (+ (* 2500000000000000/5641895835477563 (/ 1 z)) (* 5000000000000000/5641895835477563 (/ 1 (pow z 3)))) (+ 2500000000000000/16925687506432689 (/ 5000000000000000/5641895835477563 (pow z 2)))))
(* -2500000000000000/16925687506432689 (pow z 2))
(* (pow z 2) (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(* -2500000000000000/16925687506432689 z)
(* z (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(* -1 (* (pow z 3) (- 2500000000000000/16925687506432689 (* 2500000000000000/5641895835477563 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 2500000000000000/16925687506432689 (* -1 (/ (- 2500000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z)))))
(* -1 (* (pow z 3) (+ 2500000000000000/16925687506432689 (* -1 (/ (+ 2500000000000000/5641895835477563 (* -1 (/ (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z))) z)))))
(* -1 (* z (- 2500000000000000/16925687506432689 (* 2500000000000000/5641895835477563 (/ 1 z)))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.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)))) #s(literal 1 binary64)) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #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 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) x) (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 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) 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 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (pow (sqrt -1) 2) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -1 binary64)) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (pow (sqrt -1) 2)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -1 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))))) (pow (sqrt -1) 2)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (fma.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x (fma.f64 (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal -1 binary64))) x))
(* -1 x)
(neg.f64 x)
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64)) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 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 (fma.f64 (fma.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x (fma.f64 (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (pow x 2) 1) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
x
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 (/.f64 x (*.f64 x x)) x)
(* x (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) #s(literal 1 binary64)) x (/.f64 x (*.f64 x x)))
(* x (- (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (fma.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)
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5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
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(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y))))))))
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(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) y (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) y (*.f64 #s(literal 1/2 binary64) y)) z) #s(literal -5000000000000000/5641895835477563 binary64))) z (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) z (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
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(* 5000000000000000/5641895835477563 z)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)
(* 2500000000000000/5641895835477563 z)
(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
(* z (+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z)))
(*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z)
2500000000000000/5641895835477563
#s(literal 2500000000000000/5641895835477563 binary64)
(+ 2500000000000000/5641895835477563 (* -2500000000000000/16925687506432689 z))
(fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64))
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(/.f64 y (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(+ (* x (pow (sqrt -1) 2)) (/ y (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))))
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(* -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)
(/ 5000000000000000/5641895835477563 (exp z))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
(* -2500000000000000/16925687506432689 (pow z 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2500000000000000/16925687506432689 binary64))
(* (pow z 3) (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(*.f64 (-.f64 (/.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 2500000000000000/16925687506432689 binary64)) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 3) (- (* 2500000000000000/5641895835477563 (/ 1 z)) (+ 2500000000000000/16925687506432689 (/ 5000000000000000/5641895835477563 (pow z 2)))))
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(* (pow z 3) (- (+ (* 2500000000000000/5641895835477563 (/ 1 z)) (* 5000000000000000/5641895835477563 (/ 1 (pow z 3)))) (+ 2500000000000000/16925687506432689 (/ 5000000000000000/5641895835477563 (pow z 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) z) #s(literal 2500000000000000/16925687506432689 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -2500000000000000/16925687506432689 (pow z 2))
(*.f64 (*.f64 z z) #s(literal -2500000000000000/16925687506432689 binary64))
(* (pow z 2) (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
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(* -2500000000000000/16925687506432689 z)
(*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z)
(* z (- (* 2500000000000000/5641895835477563 (/ 1 z)) 2500000000000000/16925687506432689))
(*.f64 (-.f64 (/.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 2500000000000000/16925687506432689 binary64)) z)
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
(* -1 (* (pow z 3) (- 2500000000000000/16925687506432689 (* 2500000000000000/5641895835477563 (/ 1 z)))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (-.f64 #s(literal 2500000000000000/16925687506432689 binary64) (/.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))
(* -1 (* (pow z 3) (+ 2500000000000000/16925687506432689 (* -1 (/ (- 2500000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z)))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (-.f64 #s(literal 2500000000000000/16925687506432689 binary64) (/.f64 (-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) z)))
(* -1 (* (pow z 3) (+ 2500000000000000/16925687506432689 (* -1 (/ (+ 2500000000000000/5641895835477563 (* -1 (/ (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))) z))) z)))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (-.f64 #s(literal 2500000000000000/16925687506432689 binary64) (/.f64 (-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (/.f64 (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) z)) z)))
(* -1 (* z (- 2500000000000000/16925687506432689 (* 2500000000000000/5641895835477563 (/ 1 z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 2500000000000000/16925687506432689 binary64) (/.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))

rewrite242.0ms (3.1%)

Memory
-15.8MiB live, 221.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048250
066244
1292240
21991237
09136229
Stop Event
iter limit
node limit
iter limit
Counts
20 → 270
Calls
Call 1
Inputs
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
(neg.f64 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 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x)
#s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)
(*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z)
(fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64))
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.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 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.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 (neg.f64 (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)) (*.f64 (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (fma.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 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.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 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.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 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.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 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.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 x (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 (/.f64 y (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x y) #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 x y) #s(literal 3 binary64)))) (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (/.f64 y (fma.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 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))) (/.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (-.f64 x (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)))))
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(+.f64 (/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
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(*.f64 (/.f64 y (+.f64 (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))))
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64)) (-.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2500000000000000/5641895835477563 binary64)))
(/.f64 (fma.f64 #s(literal -15625000000000000000000000000000000000000000000/4848852297379497502124196442486817262870851498769 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (+.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64)))))
(/.f64 (fma.f64 #s(literal -15625000000000000000000000000000000000000000000/4848852297379497502124196442486817262870851498769 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (fma.f64 #s(literal 6250000000000000000000000000000/286478897565411617638754487770721 binary64) (*.f64 z z) (-.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64)))))
(fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64))
(fma.f64 z #s(literal -2500000000000000/16925687506432689 binary64) #s(literal 2500000000000000/5641895835477563 binary64))
(-.f64 (/.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2500000000000000/5641895835477563 binary64))) (/.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2500000000000000/5641895835477563 binary64))))
(-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/16925687506432689 binary64) z))
(-.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 (neg.f64 z) #s(literal -2500000000000000/16925687506432689 binary64)))
(+.f64 (/.f64 #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (+.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))) (/.f64 #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (+.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))))
(+.f64 (/.f64 #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 #s(literal 6250000000000000000000000000000/286478897565411617638754487770721 binary64) (*.f64 z z) (-.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 6250000000000000000000000000000/286478897565411617638754487770721 binary64) (*.f64 z z) (-.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 6250000000000000000000000000000/286478897565411617638754487770721 binary64) (*.f64 z z) (-.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))) (/.f64 #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 #s(literal 6250000000000000000000000000000/286478897565411617638754487770721 binary64) (*.f64 z z) (-.f64 #s(literal 6250000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -6250000000000000000000000000000/95492965855137205879584829256907 binary64))))))
(+.f64 (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z) #s(literal 2500000000000000/5641895835477563 binary64))
(+.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z))

eval93.0ms (1.2%)

Memory
17.2MiB live, 191.2MiB allocated; 52ms collecting garbage
Compiler

Compiled 18 986 to 2 025 computations (89.3% saved)

prune25.0ms (0.3%)

Memory
7.6MiB live, 54.9MiB allocated; 4ms collecting garbage
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New4027409
Fresh437
Picked055
Done156
Total40720427
Accuracy
100.0%
Counts
427 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.4%
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(approx (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
71.8%
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
36.7%
(+.f64 x (/.f64 y (/.f64 (+.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.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))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.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 (neg.f64 y) x)))))))
80.0%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
68.9%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
14.3%
#s(approx (+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
2.1%
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
69.6%
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
57.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y)) (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z)) y x))
65.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
23.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y)))
45.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
45.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
48.6%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
54.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
54.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
47.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
62.7%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) y x))
43.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64)))) y x))
19.9%
#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 1 504 to 616 computations (59% saved)

regimes71.0ms (0.9%)

Memory
-9.6MiB live, 91.0MiB allocated; 31ms collecting garbage
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64)))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 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))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(approx (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y)))
(+.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)))))
(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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
(+.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)))) (fma.f64 (/.f64 (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (*.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y)) (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z)) y x))
(+.f64 x (/.f64 y (/.f64 (+.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.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))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.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 (neg.f64 y) x)))))))
(+.f64 x (/.f64 y (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) #s(literal 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (fma.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 z) y) x) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Calls

6 calls:

24.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
10.0ms
y
9.0ms
z
9.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
9.0ms
x
Results
AccuracySegmentsBranch
98.8%2(exp.f64 z)
98.8%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.4%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
95.7%1x
95.7%1y
98.8%2z
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes44.0ms (0.5%)

Memory
-6.3MiB live, 41.5MiB allocated; 5ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64)))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 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))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(approx (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y)))
(+.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)))))
(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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ (/ y (+ (* y x) (* 5641895835477563/5000000000000000 (exp z)))) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
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 (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
Calls

4 calls:

21.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
8.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.9%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.1%3(exp.f64 z)
99.1%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.1%3z
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes19.0ms (0.2%)

Memory
40.9MiB live, 40.9MiB allocated; 0ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64)))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -2500000000000000/16925687506432689 z) 2500000000000000/5641895835477563) (*.f64 #s(literal -2500000000000000/16925687506432689 binary64) z)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 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))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(approx (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z)))) (/.f64 y (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2500000000000000/16925687506432689 binary64) z #s(literal 2500000000000000/5641895835477563 binary64)) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
Calls

3 calls:

7.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.1%3(exp.f64 z)
99.1%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.1%3z
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes29.0ms (0.4%)

Memory
2.6MiB live, 48.7MiB allocated; 4ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64)))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 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)))
(+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
Calls

6 calls:

7.0ms
z
4.0ms
x
4.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
4.0ms
y
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
90.9%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
76.3%3x
80.9%3y
93.4%3(exp.f64 z)
93.4%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
93.5%3z
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes32.0ms (0.4%)

Memory
-20.4MiB live, 26.4MiB allocated; 2ms collecting garbage
Counts
14 → 4
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563) z) 5000000000000000/5641895835477563) (*.f64 (*.f64 z z) #s(literal 2500000000000000/5641895835477563 binary64)))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (-.f64 (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

4 calls:

21.0ms
z
4.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
90.9%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
88.4%3(exp.f64 z)
88.4%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
88.6%3z
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes20.0ms (0.3%)

Memory
-21.7MiB live, 29.4MiB allocated; 3ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) 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 (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (+ (* (/ 5000000000000000/5641895835477563 (exp z)) y) x) (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z))) y x))
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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
Calls

5 calls:

7.0ms
y
4.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
z
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
75.7%4y
77.7%3(exp.f64 z)
77.7%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
79.3%3z
74.2%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 20 to 26 computations (-30% saved)

regimes7.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(approx (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 z)) #s(literal 5000000000000000/5641895835477563 binary64))) y x))
Outputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
1.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
74.4%3x
73.8%2(exp.f64 z)
73.8%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
73.8%2z
Compiler

Compiled 8 to 16 computations (-100% saved)

regimes12.0ms (0.2%)

Memory
-21.2MiB live, 24.0MiB allocated; 4ms collecting garbage
Accuracy

Total -43.6b remaining (-224.3%)

Threshold costs -43.6b (-224.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) (neg.f64 x))
#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 (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) 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
(exp.f64 z)
Results
AccuracySegmentsBranch
69.6%1y
69.6%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
69.6%1x
69.6%1z
69.6%1(exp.f64 z)
69.6%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Compiler

Compiled 21 to 29 computations (-38.1% saved)

bsearch21.0ms (0.3%)

Memory
43.1MiB live, 43.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-2.4466284793713495e+78
-5.426247627318148e+66
Samples
12.0ms160×0valid
Compiler

Compiled 295 to 266 computations (9.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 2.0ms (25.2% of total)
const: 2.0ms (25.2% of total)
ival-div: 1.0ms (12.6% of total)
ival-add: 1.0ms (12.6% of total)
ival-exp: 1.0ms (12.6% of total)
ival-sub: 1.0ms (12.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch60.0ms (0.8%)

Memory
-4.6MiB live, 73.7MiB allocated; 22ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
3.290027517967778e-20
1.2277749925765419e-14
17.0ms
-489.46000585387895
-21.647015143033553
Samples
46.0ms256×0valid
Compiler

Compiled 828 to 585 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 27.0ms (69.6% of total)
const: 4.0ms (10.3% of total)
ival-mult: 3.0ms (7.7% of total)
ival-div: 2.0ms (5.2% of total)
ival-add: 1.0ms (2.6% of total)
ival-sub: 1.0ms (2.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.290027517967778e-20
1.2277749925765419e-14
1.0ms
-489.46000585387895
-21.647015143033553
Compiler

Compiled 540 to 457 computations (15.4% saved)

bsearch49.0ms (0.6%)

Memory
-8.2MiB live, 48.5MiB allocated; 21ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.290027517967778e-20
1.2277749925765419e-14
46.0ms
-1.4744102712040015e-18
-1.8573428597438516e-21
Samples
10.0ms128×0valid
Compiler

Compiled 553 to 467 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (28.2% of total)
const: 2.0ms (28.2% of total)
ival-div: 1.0ms (14.1% of total)
ival-add: 1.0ms (14.1% of total)
ival-exp: 1.0ms (14.1% of total)
ival-sub: 1.0ms (14.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1946.3901757080703
7689.904829475788
0.0ms
7.743678056833275e-223
1.6383249858599379e-211
0.0ms
-642986.8222215776
-30431.86501459369
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch42.0ms (0.5%)

Memory
8.5MiB live, 96.3MiB allocated; 16ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.290027517967778e-20
1.2277749925765419e-14
29.0ms
-5.426247627318148e+66
-5.983253648798718e+60
Samples
30.0ms208×0valid
Compiler

Compiled 834 to 637 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 3.0ms (22.5% of total)
ival-mult: 3.0ms (22.5% of total)
const: 3.0ms (22.5% of total)
ival-exp: 2.0ms (15% of total)
ival-div: 1.0ms (7.5% of total)
ival-sub: 1.0ms (7.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.1283791670955126
1.1283791670955263
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify64.0ms (0.8%)

Memory
-5.0MiB live, 92.7MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090452
1130452
2230445
3491445
4897445
53590445
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal -5499999999999999979881150642894308486510544016643203359601177133056 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 z #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 7732668661392199/633825300114114700748351602688 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 (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 z #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 7732668661392199/633825300114114700748351602688 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 z #s(literal -279085956146247/1298074214633706907132624082305024 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 7732668661392199/633825300114114700748351602688 binary64)) (+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500000 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 6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 2000 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))))
(if (<=.f64 z #s(literal -440000000000000029111256468127124019562298705027725341935796224 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 2535301200456459/316912650057057350374175801344 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 5081767996464015/4503599627370496 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)
Outputs
(if (<=.f64 z #s(literal -5499999999999999979881150642894308486510544016643203359601177133056 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 z #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 7732668661392199/633825300114114700748351602688 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 (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 z #s(literal -200 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 7732668661392199/633825300114114700748351602688 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 z #s(literal -279085956146247/1298074214633706907132624082305024 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 7732668661392199/633825300114114700748351602688 binary64)) (+.f64 (/.f64 y (fma.f64 y x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500000 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 6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 2000 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))))
(if (<=.f64 z #s(literal -440000000000000029111256468127124019562298705027725341935796224 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 2535301200456459/316912650057057350374175801344 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)))
(if (<=.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 5081767996464015/4503599627370496 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 #s(approx (/ 5000000000000000/5641895835477563 (exp z)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)) #s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x))
#s(approx (+ (* (sqrt (neg x)) (sqrt (neg x))) (/ y (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))))) x)

derivations1.3s (16.9%)

Memory
-9.4MiB live, 1 085.6MiB allocated; 215ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03941757
112231721
243271658
090411557
041267
068267
1278259
22054259
09120259
048250
066244
1292240
21991237
09136229
04772708
115002573
251382462
083512327
03161526
19431497
232421422
082021347
045272
071268
1290262
22139257
09885251
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 494 to 92 computations (81.4% saved)

preprocess106.0ms (1.3%)

Memory
31.4MiB live, 125.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 036 to 226 computations (78.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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