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

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze157.0ms (1.9%)

Memory
-16.5MiB live, 96.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.5s (17.6%)

Memory
18.5MiB live, 1 404.6MiB allocated
Samples
952.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 723.0ms
ival-mult: 225.0ms (31.1% of total)
ival-sub: 144.0ms (19.9% of total)
const: 129.0ms (17.8% of total)
ival-div: 76.0ms (10.5% of total)
ival-exp: 70.0ms (9.7% of total)
ival-add: 69.0ms (9.5% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain181.0ms (2.2%)

Memory
-11.0MiB live, 393.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-2(-1.2697431452964689e-102 -2.482340418004584e-216 -1.7448178171631463e+87)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
40-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-y
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue40
(exp.f64 z)overflow64
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow64
(*.f64 x y)overflow29
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u40
(exp.f64 z)underflow57
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow57
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow4
(*.f64 x y)underflow21
Confusion
Predicted +Predicted -
+82
-0246
Precision
1.0
Recall
0.8
Confusion?
Predicted +Predicted MaybePredicted -
+802
-00246
Precision?
1.0
Recall?
0.8
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms512×0valid
Compiler

Compiled 188 to 64 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 8.0ms (27.3% of total)
ival-mult: 7.0ms (23.9% of total)
ival-exp: 4.0ms (13.7% of total)
ival-add: 4.0ms (13.7% of total)
ival-div: 3.0ms (10.2% of total)
ival-sub: 2.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess88.0ms (1.1%)

Memory
9.7MiB live, 86.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(+.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)

simplify88.0ms (1.1%)

Memory
-6.7MiB live, 33.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
cost-diff128
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

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

localize36.0ms (0.4%)

Memory
10.8MiB live, 56.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
accuracy0.00390625
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy0.8046875000000001
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy5.802105730517205
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
29.0ms256×0valid
Compiler

Compiled 88 to 22 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
const: 7.0ms (33.5% of total)
ival-add: 5.0ms (24% of total)
ival-mult: 3.0ms (14.4% of total)
ival-div: 2.0ms (9.6% of total)
ival-exp: 2.0ms (9.6% of total)
ival-sub: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-18.9MiB live, 19.2MiB allocated
Counts
4 → 64
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
Calls

9 calls:

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

simplify167.0ms (2%)

Memory
29.8MiB live, 218.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite206.0ms (2.5%)

Memory
4.9MiB live, 156.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval82.0ms (1%)

Memory
6.1MiB live, 97.6MiB allocated
Compiler

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

prune87.0ms (1%)

Memory
-11.0MiB live, 25.9MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3129321
Fresh000
Picked101
Done000
Total3139322
Accuracy
100.0%
Counts
322 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.7%
(+.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))))
83.6%
(+.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))))
85.5%
(+.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))))
84.3%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
67.6%
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
69.5%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
67.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
64.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
Compiler

Compiled 342 to 260 computations (24% saved)

simplify110.0ms (1.3%)

Memory
14.6MiB live, 51.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037272
059272
186272
2114272
3155272
4193272
5250272
6398272
7616272
8896272
91318272
101909272
112319272
122537272
132560272
142582272
152598272
162603272
172627272
182657272
192667272
202669272
02669271
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(*.f64 x y)
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
x
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y (exp.f64 z))
y
(exp.f64 z)
z
#s(literal 5000000000000000/5641895835477563 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(*.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)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) x)
x
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
y
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 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)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(/.f64 y (exp.f64 z))
y
(exp.f64 z)
z
#s(literal 5000000000000000/5641895835477563 binary64)

localize98.0ms (1.2%)

Memory
8.5MiB live, 159.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 z)
accuracy0.00390625
(/.f64 y (exp.f64 z))
accuracy0.248378759768442
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
accuracy39.308478015719515
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.05859375
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.8046875000000001
(-.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))
accuracy3.1711111296689114
(/.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)))
accuracy7.015214560066657
#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
(neg.f64 x)
accuracy0.00390625
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
accuracy3.1711111296689114
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
accuracy31.88262615039239
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.00390625
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
accuracy32.9586398969203
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
accuracy0.05859375
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.8046875000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy3.1711111296689114
(/.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)))
accuracy15.910857692504857
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
Samples
59.0ms200×0valid
12.0ms56×0exit
Compiler

Compiled 468 to 64 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
const: 18.0ms (35.5% of total)
ival-mult: 11.0ms (21.7% of total)
ival-neg: 9.0ms (17.7% of total)
ival-div: 5.0ms (9.9% of total)
ival-add: 4.0ms (7.9% of total)
ival-exp: 2.0ms (3.9% of total)
ival-sub: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
11.1MiB live, 47.3MiB allocated
Counts
22 → 84
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y (exp.f64 z))
(exp.f64 z)
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
(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)
(* -1 (* x y))
(* -1 x)
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -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)))))
(/ y (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))))))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(exp z)
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (neg x) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))
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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (neg x) (+ (* 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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (neg x) (+ (* 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)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (neg x) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))
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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg x) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (neg x) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))

simplify274.0ms (3.3%)

Memory
1.1MiB live, 312.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03601655
110671635
232591555
083521455
Stop Event
iter limit
node limit
Counts
84 → 82
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)
(* -1 (* x y))
(* -1 x)
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -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)))))
(/ y (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))))))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(exp z)
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.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))))
(fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.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 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
x
(* x (- 1 (/ 1 (pow x 2))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x x)
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x)
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y) y) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) x x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal -1 binary64)) x)
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(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 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))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y) z (neg.f64 y)))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y)) z y)) z (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
y
(+ y (* -1 (* y z)))
(fma.f64 (neg.f64 y) z y)
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 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 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(exp z)
(exp.f64 z)
(* 5641895835477563/5000000000000000 z)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))

rewrite205.0ms (2.5%)

Memory
-30.9MiB live, 228.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037243
059243
1243243
21864243
08313243
Stop Event
iter limit
node limit
iter limit
Counts
22 → 391
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y (exp.f64 z))
(exp.f64 z)
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) (-.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x))
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(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.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 -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.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)) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 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 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.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 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 #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)) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))

eval60.0ms (0.7%)

Memory
10.1MiB live, 129.1MiB allocated
Compiler

Compiled 15 805 to 1 820 computations (88.5% saved)

prune20.0ms (0.2%)

Memory
-23.9MiB live, 53.8MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New44812460
Fresh224
Picked235
Done000
Total45217469
Accuracy
100.0%
Counts
469 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.7%
(+.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))))
83.6%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
83.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
85.5%
(+.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))))
67.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
84.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
69.5%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
67.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
17.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z))))
17.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Compiler

Compiled 739 to 539 computations (27.1% saved)

simplify413.0ms (4.9%)

Memory
15.3MiB live, 133.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
cost-diff0
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
cost-diff0
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
cost-diff0
(*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff0
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049395
075395
1114395
2166395
3311395
4608395
5831395
6969395
71136395
81395395
91760395
102287395
112608395
122911395
133349395
143390395
153424395
163563395
174160395
184492395
194684395
204869395
215263395
225482395
235983395
246921395
257299395
267395395
277465395
287465395
297631395
307631395
317631395
327631395
07631387
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.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)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
y
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
y
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
z
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 5000000000000000/5641895835477563 binary64)
y
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (-.f64 z #s(literal -1 binary64)))))
(*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (-.f64 z #s(literal -1 binary64))))
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
(/.f64 y #s(approx (exp z) (-.f64 z #s(literal -1 binary64))))
y
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
#s(approx (exp z) (-.f64 z #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(-.f64 z #s(literal -1 binary64))
#s(literal 1 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
y
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)

localize175.0ms (2.1%)

Memory
-20.5MiB live, 147.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
accuracy0.248378759768442
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
accuracy4.743271641584498
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy39.308478015719515
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.8046875000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
accuracy3.1711111296689114
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))
accuracy15.910857692504857
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy32.89537075615157
#s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy0.00390625
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
accuracy0.248378759768442
(*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64))
accuracy15.917000675786404
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
accuracy39.308478015719515
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.33984375
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy16.662885815379006
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
accuracy39.308478015719515
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
accuracy0.04296875
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.8046875000000001
(-.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))
accuracy3.1711111296689114
(/.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)))
accuracy4.747530617325028
#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)))
Samples
107.0ms200×0valid
20.0ms56×0exit
Compiler

Compiled 627 to 88 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 45.0ms (43.8% of total)
const: 42.0ms (40.8% of total)
ival-add: 10.0ms (9.7% of total)
ival-div: 3.0ms (2.9% of total)
ival-exp: 2.0ms (1.9% of total)
ival-sub: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
22 → 89
Calls
Call 1
Inputs
(+.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)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
x
(* 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)))))
(* 5000000000000000/5641895835477563 y)
(/ y (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))))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
1
(+ 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))))
1/2
(+ 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)
(* 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)))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 1/6 z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
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 (exp z)) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2))
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 (exp z)) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2))
1.0ms
y
@-inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2))
1.0ms
y
@inf
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2))
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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (* 5000000000000000/5641895835477563 y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2))

simplify188.0ms (2.3%)

Memory
22.5MiB live, 138.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03701697
111031677
233561597
082231494
Stop Event
iter limit
node limit
Counts
89 → 87
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)))))
(* 5000000000000000/5641895835477563 y)
(/ y (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))))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
1
(+ 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))))
1/2
(+ 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)
(* 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)))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 1/6 z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 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))))
(fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.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)))
x
(* x (- 1 (/ 1 (pow x 2))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x x)
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x)
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y) y) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #s(literal 1 binary64)) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (exp.f64 z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) y) y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) x)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
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(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))
(- 5641895835477563/5000000000000000 (* x y))
(fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 (neg.f64 x) y (fma.f64 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 x) y #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 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))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) y) z (neg.f64 y)))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
(fma.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y)) z y)) z (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
y
(+ y (* -1 (* y z)))
(fma.f64 (neg.f64 y) z y)
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 z))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 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)))
(exp z)
(exp.f64 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 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) #s(literal 5641895835477563/30000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (*.f64 z z))
(* 5641895835477563/5000000000000000 z)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* 1/6 z)
(*.f64 #s(literal 1/6 binary64) z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))

rewrite300.0ms (3.6%)

Memory
-3.8MiB live, 226.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049330
075330
1310330
22332330
09302325
Stop Event
iter limit
node limit
iter limit
Counts
22 → 323
Calls
Call 1
Inputs
(+.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)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (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(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (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(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (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 (/.f64 y (fma.f64 (neg.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))))) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (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 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.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(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (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 (/.f64 y (fma.f64 (neg.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))))) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))))
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(fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))
#s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
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(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)))
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(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64))))
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(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) z #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))

eval124.0ms (1.5%)

Memory
3.8MiB live, 83.8MiB allocated
Compiler

Compiled 16 028 to 1 670 computations (89.6% saved)

prune69.0ms (0.8%)

Memory
1.7MiB live, 40.3MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New3914395
Fresh189
Picked055
Done033
Total39220412
Accuracy
100.0%
Counts
412 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.7%
(+.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))))
83.6%
(+.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))))
84.5%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
83.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
85.5%
(+.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))))
67.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
84.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
69.5%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
67.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
17.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z))))
17.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Compiler

Compiled 808 to 591 computations (26.9% saved)

simplify285.0ms (3.4%)

Memory
-4.0MiB live, 71.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
cost-diff0
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
cost-diff0
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
cost-diff0
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
cost-diff0
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
cost-diff0
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))))
cost-diff0
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
cost-diff0
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055453
079453
1126453
2175453
3234453
4343453
5406453
6600453
7815453
81270453
91687453
101885453
112282453
122848453
133307453
143551453
153919453
164266453
174402453
184530453
194608453
204629453
214715453
224739453
234739453
244751453
04751431
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)))
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))
(*.f64 z z)
z
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
y
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal -5000000000000000/5641895835477563 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))
y
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(literal 5000000000000000/5641895835477563 binary64)
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(+.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 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
y
#s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64))
#s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))
(*.f64 #s(literal 1/6 binary64) z)
#s(literal 1/6 binary64)
z
#s(literal 1 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))))
x
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))
y
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)))
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))
(*.f64 z z)
z
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
y
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal -5000000000000000/5641895835477563 binary64)
z
#s(literal 5000000000000000/5641895835477563 binary64)
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (-.f64 z #s(literal -1 binary64)))))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (-.f64 z #s(literal -1 binary64))))
y
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (-.f64 z #s(literal -1 binary64))))
#s(literal 5000000000000000/5641895835477563 binary64)
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
#s(approx (exp z) (-.f64 z #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(-.f64 z #s(literal -1 binary64))
#s(literal 1 binary64)
z
(+.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 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
y
#s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64))
#s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))
(*.f64 #s(literal 1/6 binary64) z)
#s(literal 1/6 binary64)
z
#s(literal 1 binary64)
#s(literal 5000000000000000/5641895835477563 binary64)

localize269.0ms (3.2%)

Memory
3.8MiB live, 262.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.30859375
(*.f64 #s(literal 1/6 binary64) z)
accuracy4.743271641584498
#s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy32.93110155461682
#s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))
accuracy39.308478015719515
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy0.00390625
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
accuracy0.8046875000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
accuracy3.1711111296689114
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
accuracy16.76872492535076
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy0.0234375
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
accuracy0.2265625
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))
accuracy15.917000675786404
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
accuracy39.308478015719515
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
accuracy0.09765625
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
accuracy0.2734375
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy16.40507694261055
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))))
accuracy39.308478015719515
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
accuracy0.8046875000000001
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
accuracy3.1711111296689114
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
accuracy4.747530617325028
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy32.846314382789025
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)))
Samples
148.0ms200×0valid
45.0ms56×0exit
Compiler

Compiled 691 to 100 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 46.0ms (52.2% of total)
const: 22.0ms (25% of total)
ival-add: 11.0ms (12.5% of total)
ival-div: 5.0ms (5.7% of total)
ival-exp: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory
-13.1MiB live, 25.3MiB allocated
Counts
23 → 99
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y (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)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.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 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
#s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)))
#s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))
(*.f64 #s(literal 1/6 binary64) 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)))))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(/ y (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))))))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
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
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
1/2
(+ 1/2 (* 1/6 z))
(* 1/6 z)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(/ 5000000000000000/5641895835477563 (exp z))
(exp 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)))))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
Calls

9 calls:

TimeVariablePointExpression
31.0ms
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 (exp z)) 5000000000000000/5641895835477563) (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* y (/ 5000000000000000/5641895835477563 (exp z))) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2) (* 1/6 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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* y (/ 5000000000000000/5641895835477563 (exp z))) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2) (* 1/6 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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* y (/ 5000000000000000/5641895835477563 (exp z))) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2) (* 1/6 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)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* y (/ 5000000000000000/5641895835477563 (exp z))) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2) (* 1/6 z))
2.0ms
y
@0
((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* y (/ 5000000000000000/5641895835477563 (exp z))) (/ 5000000000000000/5641895835477563 (exp z)) (exp z) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (* (/ y (exp z)) 5000000000000000/5641895835477563) (/ y (exp z)) (exp z) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* 1/6 z) 1/2) (* 1/6 z))

simplify496.0ms (5.9%)

Memory
0.1MiB live, 154.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03971771
111751751
235201669
082551560
Stop Event
iter limit
node limit
Counts
99 → 97
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)))))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(/ y (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))))))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
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
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
1/2
(+ 1/2 (* 1/6 z))
(* 1/6 z)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(/ 5000000000000000/5641895835477563 (exp z))
(exp 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)))))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 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))))
(fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x))
(+ (* 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)))
x
(* x (- 1 (/ 1 (pow x 2))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x x)
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x)
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y) y) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #s(literal 1 binary64)) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (exp.f64 z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) y) y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) x)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 x))) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y))
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (/.f64 y (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x)
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y)
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (/.f64 y (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y)
(* 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)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) y (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y)
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)
(/ y (exp z))
(/.f64 y (exp.f64 z))
(- x (/ 1 x))
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(+.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 (* y z))
(*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z)
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))) 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)
(/ 5000000000000000/5641895835477563 (exp z))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))
(exp z)
(exp.f64 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 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) #s(literal 5641895835477563/30000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (*.f64 z z))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))) z)
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal -1 binary64) #s(literal -5000000000000000/5641895835477563 binary64)) z)

rewrite369.0ms (4.4%)

Memory
9.5MiB live, 257.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055370
079370
1328370
22402370
09322355
Stop Event
iter limit
node limit
iter limit
Counts
23 → 325
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 y (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)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.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 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64))))
#s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)))
#s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z))
(*.f64 #s(literal 1/6 binary64) z)
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -2 binary64))) (pow.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -2 binary64)))) (*.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))))))
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eval76.0ms (0.9%)

Memory
7.2MiB live, 84.2MiB allocated
Compiler

Compiled 16 545 to 1 579 computations (90.5% saved)

prune70.0ms (0.8%)

Memory
-31.1MiB live, 48.1MiB allocated
Pruning

25 alts after pruning (13 fresh and 12 done)

PrunedKeptTotal
New3988406
Fresh257
Picked145
Done088
Total40125426
Accuracy
100.0%
Counts
426 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.7%
(+.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))))
83.6%
(+.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))))
84.5%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
83.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
85.5%
(+.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))))
67.2%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
84.3%
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
69.5%
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
67.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
17.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
17.3%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
17.1%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z))))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
17.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
17.0%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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)))))
17.2%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
2.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
16.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
2.9%
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
Compiler

Compiled 1 464 to 675 computations (53.9% saved)

regimes76.0ms (0.9%)

Memory
17.6MiB live, 132.6MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (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))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

19.0ms
y
17.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
11.0ms
x
10.0ms
z
8.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
96.4%1x
96.4%1y
99.9%3z
98.9%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes244.0ms (2.9%)

Memory
17.3MiB live, 60.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (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 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))
Calls

4 calls:

215.0ms
(exp.f64 z)
10.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
10.0ms
z
8.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
99.6%3z
99.6%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.6%3(exp.f64 z)
95.8%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes64.0ms (0.8%)

Memory
-13.5MiB live, 96.7MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 (neg.f64 z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (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))))
Calls

5 calls:

13.0ms
z
12.0ms
x
10.0ms
y
8.0ms
(exp.f64 z)
8.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
85.5%1x
85.5%1y
95.9%2z
95.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.9%2(exp.f64 z)
Compiler

Compiled 9 to 19 computations (-111.1% saved)

regimes28.0ms (0.3%)

Memory
11.9MiB live, 58.3MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

10.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
9.0ms
z
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.6%2z
95.6%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.6%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes31.0ms (0.4%)

Memory
-19.3MiB live, 59.1MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) y))) z (neg.f64 y)) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

13.0ms
(exp.f64 z)
9.0ms
z
7.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
95.1%2z
95.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.1%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes24.0ms (0.3%)

Memory
2.3MiB live, 40.7MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
Calls

3 calls:

9.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.0%2z
95.0%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
95.0%2(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes23.0ms (0.3%)

Memory
-16.8MiB live, 29.3MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))
Calls

3 calls:

11.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
94.7%3z
94.7%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
94.7%3(exp.f64 z)
Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes22.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.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)))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))
Calls

4 calls:

6.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
6.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
88.8%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
91.9%2z
91.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
91.9%2(exp.f64 z)
Compiler

Compiled 19 to 23 computations (-21.1% saved)

regimes32.0ms (0.4%)

Memory
-21.1MiB live, 56.1MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)))
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

6 calls:

7.0ms
x
6.0ms
z
5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
5.0ms
y
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
75.4%3x
69.5%1y
76.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
69.5%1z
69.5%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
69.5%1(exp.f64 z)
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

4.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
76.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes4.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) y))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y #s(approx (/ 5000000000000000/5641895835477563 (exp z)) (fma.f64 (fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) z #s(literal -5000000000000000/5641895835477563 binary64)) z #s(literal 5000000000000000/5641895835477563 binary64)))))
Outputs
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))
Calls

1 calls:

3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
76.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes16.0ms (0.2%)

Memory
-7.6MiB live, 31.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) #s(approx (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) (*.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) z))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 #s(approx (/ y (exp z)) (fma.f64 (neg.f64 y) z y)) #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
Calls

6 calls:

3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
16.9%1y
16.9%1z
16.9%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
16.9%1(exp.f64 z)
16.9%1x
16.9%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes11.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Accuracy

Total -9.5b remaining (-17.9%)

Threshold costs -9.5b (-17.9%)

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

6 calls:

2.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
16.9%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
16.9%1x
16.9%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
16.9%1(exp.f64 z)
16.9%1z
16.9%1y
Compiler

Compiled 21 to 29 computations (-38.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.269997804694052e+220
2.827875642803453e+223
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0002074477852114
1.0009325677008984
0.0ms
0.0
0.003587491735382059
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.003587491735382059
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.003587491735382059
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.003587491735382059
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.003587491735382059
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.00000000002028
1.000126352873341
0.0ms
0.0
0.003587491735382059
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.003587491735382059
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
23253.34066599569
53002.893957025844
0.0ms
-1971291.7258443285
-3.7837569686256074e-15
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch18.0ms (0.2%)

Memory
-41.4MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
23253.34066599569
53002.893957025844
17.0ms
-1971291.7258443285
-3.7837569686256074e-15
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
23253.34066599569
53002.893957025844
0.0ms
-1971291.7258443285
-3.7837569686256074e-15
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify39.0ms (0.5%)

Memory
16.1MiB live, 55.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116693
1151693
2171693
3176693
4179693
5180693
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 4505851427184181/4503599627370496 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #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)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 4504049987333233/4503599627370496 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -1000000 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 40000 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/.f64 y (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 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 -1000000 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 40000 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))) (+.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 -1000000 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 40000 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
Outputs
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) x) #s(literal 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936 binary64)) (+.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) x) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 4505851427184181/4503599627370496 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 4505851427184181/4503599627370496 binary64)) (+.f64 (/.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 y x))) x) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #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)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.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 y x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 y x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #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)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.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 y x))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))))
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#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (* (/ y (exp z)) 5000000000000000/5641895835477563) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))

soundness1.4s (16.3%)

Memory
12.5MiB live, 838.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03701697
111031677
233561597
082231494
055370
079370
1328370
22402370
09322355
03601655
110671635
232591555
083521455
049330
075330
1310330
22332330
09302325
03031507
18651491
225651415
082111334
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 962 to 382 computations (60.3% saved)

preprocess78.0ms (0.9%)

Memory
-4.8MiB live, 154.7MiB allocated
Compiler

Compiled 1 434 to 282 computations (80.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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