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

Time bar (total: 10.8s)

analyze158.0ms (1.5%)

Memory
-24.4MiB live, 133.1MiB 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)

sample2.0s (18.3%)

Memory
41.7MiB live, 1 774.0MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-div: 413.0ms (34.6% of total)
const: 386.0ms (32.3% of total)
ival-mult: 189.0ms (15.8% of total)
ival-exp: 118.0ms (9.9% of total)
ival-add: 41.0ms (3.4% of total)
ival-sub: 38.0ms (3.2% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess95.0ms (0.9%)

Memory
16.8MiB live, 94.1MiB allocated
Algorithm
egg-herbie
Rules
304×accelerator-lowering-fma.f32
304×accelerator-lowering-fma.f64
274×distribute-lft-neg-in
250×sub-neg
234×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045127
1112121
2208121
3462120
4877120
51540120
62126120
72454120
82521120
92544120
102550120
112550120
01012
11812
23012
34212
46512
59512
615412
722412
831712
942512
1058812
1160112
1261612
1365512
065511
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
Call 2
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y))))
(+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y))))
(neg (+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y)))))
(neg (+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y))))))
(neg (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y)))))
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* y x))))
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* z y))))
(+ x (/ z (- (* 5641895835477563/5000000000000000 (exp y)) (* x z))))
Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y))))
(- (/ y (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) x)
(+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y)))))
(+ x (/ y (- (* (exp z) -5641895835477563/5000000000000000) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y))))
(+ x (/ y (- (/ 5641895835477563/5000000000000000 (exp z)) (* x y))))
(neg (+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y)))))
(+ x (/ y (- (* (exp z) -5641895835477563/5000000000000000) (* x y))))
(neg (+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y))))))
(- (/ y (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) x)
(neg (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y)))))
(- (/ y (+ (* x y) (/ -5641895835477563/5000000000000000 (exp z)))) x)
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* y x))))
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* z y))))
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* y z))))
(+ x (/ z (- (* 5641895835477563/5000000000000000 (exp y)) (* x z))))

explain200.0ms (1.9%)

Memory
1.0MiB live, 358.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-0-(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
80-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-y
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue80
(exp.f64 z)overflow70
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow70
(*.f64 x y)overflow27
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u70
(exp.f64 z)underflow53
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow53
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow7
(*.f64 x y)underflow33
Confusion
Predicted +Predicted -
+150
-0241
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1500
-00241
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0241
115
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
76.0ms512×0valid
Compiler

Compiled 120 to 44 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
const: 11.0ms (35.8% of total)
ival-mult: 7.0ms (22.8% of total)
ival-div: 4.0ms (13% of total)
ival-exp: 4.0ms (13% of total)
ival-sub: 2.0ms (6.5% of total)
ival-add: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify38.0ms (0.3%)

Memory
-15.6MiB live, 21.9MiB 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))))
Rules
304×accelerator-lowering-fma.f32
304×accelerator-lowering-fma.f64
192×*-lowering-*.f32
192×*-lowering-*.f64
88×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
11843
23043
34243
46543
59543
615443
722443
831743
942543
1058843
1160143
1261643
1365543
065542
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
5641895835477563/5000000000000000
(exp z)
z
(* x y)
Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y (neg.f64 x)))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(exp z)
(exp.f64 z)
z
(* x y)
(*.f64 x y)

localize38.0ms (0.3%)

Memory
19.8MiB live, 57.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 z)
accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy97.5%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy91.5%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
22.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
const: 4.0ms (29.3% of total)
ival-mult: 3.0ms (22% of total)
ival-div: 2.0ms (14.7% of total)
ival-exp: 2.0ms (14.7% of total)
ival-sub: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-8.5MiB live, 30.4MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (exp z)>
Outputs
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)>
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)>
#<alt (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (- 5641895835477563/5000000000000000 (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
Calls

33 calls:

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

rewrite309.0ms (2.9%)

Memory
-17.6MiB live, 527.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 764×accelerator-lowering-fma.f32
5 764×accelerator-lowering-fma.f64
4 434×*-lowering-*.f32
4 434×*-lowering-*.f64
3 236×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
15136
244536
3742836
0810235
Stop Event
iter limit
node limit
Counts
5 → 271
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(exp z)
Outputs
(+.f64 x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(+.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64))) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (neg.f64 y) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (*.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
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(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(exp.f64 z)

simplify569.0ms (5.3%)

Memory
-0.1MiB live, 551.1MiB allocated
Algorithm
egg-herbie
Rules
8 782×accelerator-lowering-fma.f32
8 782×accelerator-lowering-fma.f64
5 312×*-lowering-*.f32
5 312×*-lowering-*.f64
2 906×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161999
19041979
226441891
083361801
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (fma.f64 x (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z))))))
x
(* x (- 1 (/ 1 (pow x 2))))
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1
#s(literal 1 binary64)
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(exp z)
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(exp z)
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(exp.f64 z)
(exp z)
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(exp.f64 z)
(exp z)
(exp.f64 z)

eval52.0ms (0.5%)

Memory
-1.7MiB live, 112.6MiB allocated
Compiler

Compiled 13 620 to 1 139 computations (91.6% saved)

prune124.0ms (1.2%)

Memory
-25.5MiB live, 110.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New39310403
Fresh000
Picked101
Done000
Total39410404
Accuracy
100.0%
Counts
404 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
48.7%
(/.f64 (fma.f64 (*.f64 y (neg.f64 y)) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
89.0%
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
90.5%
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
88.1%
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
88.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
87.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
64.3%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
18.0%
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
68.5%
x
Compiler

Compiled 310 to 202 computations (34.8% saved)

simplify378.0ms (3.5%)

Memory
31.5MiB live, 299.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff0
(neg.f64 z)
cost-diff0
(exp.f64 (neg.f64 z))
cost-diff0
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
cost-diff0
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
cost-diff0
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
cost-diff128
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
cost-diff0
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
cost-diff128
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff128
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
Rules
6 824×accelerator-lowering-fma.f32
6 824×accelerator-lowering-fma.f64
1 400×*-lowering-*.f32
1 400×*-lowering-*.f64
1 280×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032200
186196
2190196
3337196
4696196
51601196
63231196
74110196
84463196
94581196
104658196
114814196
124964196
135027196
145053196
155060196
165060196
175183196
185183196
05183172
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
x
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
y
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(neg x)
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
z
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
5641895835477563/10000000000000000
5641895835477563/5000000000000000
x
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
y
(- 5641895835477563/5000000000000000 (* y x))
5641895835477563/5000000000000000
(* y x)
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))
x
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))
y
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))
z
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)
5641895835477563/30000000000000000
5641895835477563/10000000000000000
5641895835477563/5000000000000000
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(exp (neg z))
(neg z)
z
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
Outputs
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
y
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(neg x)
(neg.f64 x)
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
x
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(- 5641895835477563/5000000000000000 (* y x))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* y x)
(*.f64 x y)
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
y
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
z
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
5641895835477563/30000000000000000
#s(literal 5641895835477563/30000000000000000 binary64)
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(- 5641895835477563/5000000000000000 (* y x))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(* y x)
(*.f64 x y)
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(exp (neg z))
(exp.f64 (neg.f64 z))
(neg z)
(neg.f64 z)
z
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y

localize119.0ms (1.1%)

Memory
12.5MiB live, 243.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(exp.f64 (neg.f64 z))
accuracy100.0%
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
accuracy99.4%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy100.0%
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy97.5%
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
accuracy90.7%
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
accuracy100.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
accuracy89.9%
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy99.8%
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy98.4%
(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy87.1%
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
Samples
73.0ms256×0valid
Compiler

Compiled 178 to 34 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 16.0ms (28.8% of total)
const: 16.0ms (28.8% of total)
ival-add: 12.0ms (21.6% of total)
ival-div: 5.0ms (9% of total)
ival-neg: 3.0ms (5.4% of total)
ival-exp: 2.0ms (3.6% of total)
ival-sub: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.8%)

Memory
-16.6MiB live, 59.8MiB allocated
Counts
19 → 432
Calls
Call 1
Inputs
#<alt (+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))>
#<alt (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))>
#<alt (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))>
#<alt (neg x)>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (- 5641895835477563/5000000000000000 (* y x))>
#<alt (* y x)>
#<alt (+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))>
#<alt (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)>
#<alt (* (exp (neg z)) (* 5000000000000000/5641895835477563 y))>
#<alt (exp (neg z))>
#<alt (neg z)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)>
#<alt (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)>
#<alt (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)>
Outputs
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))))>
#<alt (+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))>
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#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt 5641895835477563/10000000000000000>
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))>
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))>
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))>
#<alt (* 5641895835477563/30000000000000000 z)>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/30000000000000000 z)>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
Calls

108 calls:

TimeVariablePointExpression
38.0ms
z
@0
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
3.0ms
y
@-inf
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
2.0ms
x
@0
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
1.0ms
y
@inf
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))
1.0ms
z
@0
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))

rewrite687.0ms (6.4%)

Memory
24.1MiB live, 1 021.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 264×accelerator-lowering-fma.f32
5 264×accelerator-lowering-fma.f64
5 106×/-lowering-/.f32
5 106×/-lowering-/.f64
5 046×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032174
1219170
22038170
09881149
Stop Event
iter limit
node limit
Counts
19 → 663
Calls
Call 1
Inputs
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(neg x)
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(exp (neg z))
(neg z)
(* 5000000000000000/5641895835477563 y)
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)
Outputs
(+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (-.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (-.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (neg.f64 x))) (*.f64 x (*.f64 y (*.f64 x y)))) x)
(fma.f64 (/.f64 y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (neg.f64 x))) (*.f64 x (*.f64 y (*.f64 x y)))))) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (*.f64 y (neg.f64 x)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 x)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))) (fma.f64 x x (*.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))) (+.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) (-.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))))))
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simplify614.0ms (5.7%)

Memory
1.6MiB live, 763.8MiB allocated
Algorithm
egg-herbie
Rules
9 054×accelerator-lowering-fma.f32
9 054×accelerator-lowering-fma.f64
5 940×*-lowering-*.f32
5 940×*-lowering-*.f64
4 436×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09597913
130627776
081846981
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))))
(+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))
(- x (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))
(- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)))))
(- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))))))
(- x (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3)))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))
(- (+ x (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (pow z 4))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) (* 20000000000000000/5641895835477563 (/ y (pow z 3))))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))
(+ x (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z))) (* -20000000000000000/5641895835477563 y)) (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))
(* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))
(* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))
(/ -1 x)
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y)) (/ 1 x))
(- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)))))
(- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))))))
(/ -1 x)
(- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))
(+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(/ -1 x)
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) 1) x)
(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y))))) x)
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) x))) x))
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3)))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -200000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) (pow z 2))) (* 20000000000000000/5641895835477563 (/ y z))))) (pow z 2))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) z)) (* 200000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z))) (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))))
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))))
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y)))))
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(* 5000000000000000/5641895835477563 y)
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
5641895835477563/10000000000000000
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(* 5641895835477563/30000000000000000 z)
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* 5641895835477563/30000000000000000 z)
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
Outputs
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
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(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
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(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
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x
(* x (- 1 (/ 1 (pow x 2))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))
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(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
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x
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x)
(+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))))
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(+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))
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(- x (/ 1 x))
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(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/30000000000000000 z)
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* 5641895835477563/30000000000000000 z)
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))

eval259.0ms (2.4%)

Memory
-8.2MiB live, 349.1MiB allocated
Compiler

Compiled 44 799 to 3 896 computations (91.3% saved)

prune204.0ms (1.9%)

Memory
-3.1MiB live, 310.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 17091 179
Fresh325
Picked415
Done000
Total1 177121 189
Accuracy
100.0%
Counts
1 189 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(fma.f64 (/.f64 y (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) x)
52.5%
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
62.1%
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
18.0%
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
88.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
62.2%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
64.3%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
17.6%
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
17.8%
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
17.7%
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
17.7%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
68.5%
x
Compiler

Compiled 296 to 203 computations (31.4% saved)

simplify440.0ms (4.1%)

Memory
22.3MiB live, 701.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff0
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff0
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff320
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
cost-diff128
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff384
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
cost-diff0
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))
cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))
cost-diff128
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
Rules
16 146×accelerator-lowering-fma.f32
16 146×accelerator-lowering-fma.f64
3 736×*-lowering-*.f32
3 736×*-lowering-*.f64
2 286×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031184
183184
2202184
3534184
41385184
52332184
64157184
75936182
87501182
08012156
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))
y
(- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))
(* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1))
5641895835477563/5000000000000000
(+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)
z
(+ (* z (+ (* z 1/6) 1/2)) 1)
(+ (* z 1/6) 1/2)
1/6
1/2
1
(* x y)
(* y 5000000000000000/5641895835477563)
y
5000000000000000/5641895835477563
(* (- 1 z) (* 5000000000000000/5641895835477563 y))
(- 1 z)
1
z
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
(+ x (/ y 5641895835477563/5000000000000000))
x
(/ y 5641895835477563/5000000000000000)
y
5641895835477563/5000000000000000
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
(+ (* z (+ (* z 1/2) -1)) 1)
z
(+ (* z 1/2) -1)
1/2
-1
1
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -1/6 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -1/6 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
y
(- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -1/6 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) #s(literal 5641895835477563/5000000000000000 binary64))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
z
(+ (* z (+ (* z 1/6) 1/2)) 1)
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* z 1/6) 1/2)
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* x y)
(*.f64 x y)
(* y 5000000000000000/5641895835477563)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(* (- 1 z) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
(+ x (/ y 5641895835477563/5000000000000000))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
x
(/ y 5641895835477563/5000000000000000)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 z (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* z (+ (* z 1/2) -1)) 1)
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* z 1/2) -1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y

localize123.0ms (1.1%)

Memory
-21.0MiB live, 267.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy100.0%
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy99.4%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy92.9%
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
accuracy100.0%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy99.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy99.8%
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
accuracy99.4%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
accuracy99.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.8%
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy97.7%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))
accuracy90.7%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))
Samples
80.0ms256×0valid
Compiler

Compiled 163 to 33 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 32.0ms (51.4% of total)
const: 16.0ms (25.7% of total)
ival-add: 8.0ms (12.8% of total)
ival-div: 4.0ms (6.4% of total)
ival-sub: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
-0.4MiB live, 73.3MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))>
#<alt (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1))>
#<alt (* y 5000000000000000/5641895835477563)>
#<alt (* (- 1 z) (* 5000000000000000/5641895835477563 y))>
#<alt (- 1 z)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (/ y 5641895835477563/5000000000000000)>
#<alt (+ x (/ y 5641895835477563/5000000000000000))>
#<alt (* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* z (+ (* z 1/2) -1)) 1)>
#<alt (+ (* z 1/2) -1)>
#<alt (+ (* z 1/6) 1/2)>
#<alt (+ (* z (+ (* z 1/6) 1/2)) 1)>
Outputs
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))>
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))))>
#<alt (+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (/ 1 x)))>
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#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt x>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))>
#<alt (* 2500000000000000/5641895835477563 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))>
#<alt (* 2500000000000000/5641895835477563 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (* 1/2 z)>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 z))>
#<alt (+ 1/2 (* 1/6 z))>
#<alt (+ 1/2 (* 1/6 z))>
#<alt (* 1/6 z)>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* 1/6 z)>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt 1>
#<alt (+ 1 (* 1/2 z))>
#<alt (+ 1 (* z (+ 1/2 (* 1/6 z))))>
#<alt (+ 1 (* z (+ 1/2 (* 1/6 z))))>
#<alt (* 1/6 (pow z 2))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* 1/6 (pow z 2))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
Calls

72 calls:

TimeVariablePointExpression
5.0ms
z
@0
(* (- 1 z) (* 5000000000000000/5641895835477563 y))
3.0ms
x
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))
1.0ms
y
@0
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
1.0ms
y
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))
1.0ms
y
@-inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))

rewrite558.0ms (5.2%)

Memory
-8.8MiB live, 634.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 922×accelerator-lowering-fma.f32
4 922×accelerator-lowering-fma.f64
4 854×/-lowering-/.f32
4 854×/-lowering-/.f64
4 168×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031143
1201143
21825143
08560122
Stop Event
iter limit
node limit
Counts
15 → 683
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))
(- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))
(* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1))
(* y 5000000000000000/5641895835477563)
(* (- 1 z) (* 5000000000000000/5641895835477563 y))
(- 1 z)
(* 5000000000000000/5641895835477563 y)
(/ y 5641895835477563/5000000000000000)
(+ x (/ y 5641895835477563/5000000000000000))
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
(+ (* z (+ (* z 1/2) -1)) 1)
(+ (* z 1/2) -1)
(+ (* z 1/6) 1/2)
(+ (* z (+ (* z 1/6) 1/2)) 1)
Outputs
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(+.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) y))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
(fma.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (neg.f64 y))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x y) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x y) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x)
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(*.f64 (neg.f64 (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))

simplify416.0ms (3.9%)

Memory
-5.3MiB live, 559.6MiB allocated
Algorithm
egg-herbie
Rules
6 690×accelerator-lowering-fma.f32
6 690×accelerator-lowering-fma.f64
5 190×*-lowering-*.f32
5 190×*-lowering-*.f64
2 574×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05304384
115594337
247944232
082233732
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))))
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(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
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(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
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x
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))
(+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3)))))
(- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4))))
x
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))))
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(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))))
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(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))))
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(- (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (/ 1 x))
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(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (pow x 2)))) y)) (/ 1 x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
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(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
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(* 30000000000000000/5641895835477563 (/ y (pow z 3)))
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3))
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 900000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y)))))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3))
(* 30000000000000000/5641895835477563 (/ y (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 900000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- 5641895835477563/5000000000000000 (* x y))) z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) x))) x))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(* 5641895835477563/30000000000000000 (pow z 3))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 3) (- (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2))))) (/ (* x y) (pow z 3))))
(* 5641895835477563/30000000000000000 (pow z 3))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/30000000000000000)))
(* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
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(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
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(* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/30000000000000000 (pow z 3))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2))))))
(* 5641895835477563/30000000000000000 (pow z 3))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) z)) 5641895835477563/30000000000000000)))
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -5000000000000000/5641895835477563 (* y z))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
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(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
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(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
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(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* 5000000000000000/5641895835477563 y)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))
(* 2500000000000000/5641895835477563 (* y (pow z 2)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))
(* 2500000000000000/5641895835477563 (* y (pow z 2)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))
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(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* 1/2 z) 1)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
-1
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(* 1/2 z)
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* 1/2 z)
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
1/2
(+ 1/2 (* 1/6 z))
(+ 1/2 (* 1/6 z))
(+ 1/2 (* 1/6 z))
(* 1/6 z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* 1/6 z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
1
(+ 1 (* 1/2 z))
(+ 1 (* z (+ 1/2 (* 1/6 z))))
(+ 1 (* z (+ 1/2 (* 1/6 z))))
(* 1/6 (pow z 2))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(* 1/6 (pow z 2))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
Outputs
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
(fma.f64 x (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
x
(* x (- 1 (/ 1 (pow x 2))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2)))))
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y x)))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (*.f64 x (*.f64 x x)))) (neg.f64 x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))))
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(*.f64 (*.f64 z z) (fma.f64 y #s(literal 2500000000000000/5641895835477563 binary64) (/.f64 (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (/.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) z)) (neg.f64 z))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow z 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))))
(* 1/2 (pow z 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z)))
-1
#s(literal -1 binary64)
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 z))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 z))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 z))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 z))
(fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* z (+ 1/2 (* 1/6 z))))
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* z (+ 1/2 (* 1/6 z))))
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow z 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 z z))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow z 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 z z))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

eval171.0ms (1.6%)

Memory
47.3MiB live, 307.2MiB allocated
Compiler

Compiled 27 632 to 2 819 computations (89.8% saved)

prune137.0ms (1.3%)

Memory
-33.5MiB live, 337.0MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New99741 001
Fresh066
Picked145
Done011
Total998151 013
Accuracy
100.0%
Counts
1 013 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(fma.f64 (/.f64 y (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) x)
52.5%
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
62.1%
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
17.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64))
18.0%
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
17.8%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
88.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
64.3%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
17.6%
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
17.8%
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
17.7%
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
3.0%
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
3.0%
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
17.7%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
68.5%
x
Compiler

Compiled 293 to 204 computations (30.4% saved)

simplify16.0ms (0.1%)

Memory
-4.1MiB live, 34.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff0
(*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))
cost-diff0
(fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff0
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
cost-diff384
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(+.f64 x (/.f64 #s(literal -1 binary64) x))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
180×*-lowering-*.f32
180×*-lowering-*.f64
70×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02377
14877
28677
312177
413177
513577
614177
714177
817877
917877
1019277
1119877
1220577
020568
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (/ -1 x))
x
(/ -1 x)
-1
(+ (* y 5000000000000000/5641895835477563) x)
y
5000000000000000/5641895835477563
x
(/ y 5641895835477563/5000000000000000)
y
5641895835477563/5000000000000000
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x)
y
(+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)
(* x 25000000000000000000000000000000/31830988618379068626528276418969)
x
25000000000000000000000000000000/31830988618379068626528276418969
5000000000000000/5641895835477563
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
y
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
z
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
5641895835477563/10000000000000000
5641895835477563/5000000000000000
Outputs
(+ x (/ -1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(+ (* y 5000000000000000/5641895835477563) x)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
y
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
x
(/ y 5641895835477563/5000000000000000)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x)
(fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y) #s(literal 5000000000000000/5641895835477563 binary64)) x)
y
(+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)
(fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y) #s(literal 5000000000000000/5641895835477563 binary64))
(* x 25000000000000000000000000000000/31830988618379068626528276418969)
(*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))
x
25000000000000000000000000000000/31830988618379068626528276418969
#s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)

localize121.0ms (1.1%)

Memory
2.6MiB live, 159.9MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy99.8%
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy93.9%
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy99.9%
(*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))
accuracy99.8%
(fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))
accuracy99.8%
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
accuracy99.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
accuracy99.7%
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy100.0%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
Samples
71.0ms256×0valid
Compiler

Compiled 70 to 25 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
const: 15.0ms (40.4% of total)
ival-mult: 9.0ms (24.2% of total)
ival-add: 7.0ms (18.8% of total)
ival-div: 6.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
19.0MiB live, 19.1MiB allocated
Counts
10 → 168
Calls
Call 1
Inputs
#<alt (+ x (/ -1 x))>
#<alt (/ -1 x)>
#<alt (+ (* y 5000000000000000/5641895835477563) x)>
#<alt (/ y 5641895835477563/5000000000000000)>
#<alt (+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x)>
#<alt (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)>
#<alt (* x 25000000000000000000000000000000/31830988618379068626528276418969)>
#<alt (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))>
#<alt (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)>
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)>
Outputs
#<alt (/ -1 x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt x>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))>
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#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))>
#<alt (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))>
#<alt (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))>
#<alt (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))>
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))>
#<alt 5000000000000000/5641895835477563>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))>
#<alt (* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))>
#<alt 5000000000000000/5641895835477563>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))>
#<alt (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))>
#<alt (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))>
#<alt (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))>
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))>
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2))>
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
1.0ms
y
@0
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
1.0ms
y
@-inf
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
1.0ms
x
@-inf
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x)
0.0ms
y
@-inf
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x)

rewrite378.0ms (3.5%)

Memory
-14.5MiB live, 511.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 436×accelerator-lowering-fma.f32
6 436×accelerator-lowering-fma.f64
3 954×*-lowering-*.f32
3 954×*-lowering-*.f64
3 576×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02362
113962
2113062
0852353
Stop Event
iter limit
node limit
Counts
10 → 367
Calls
Call 1
Inputs
(+ x (/ -1 x))
(/ -1 x)
(+ (* y 5000000000000000/5641895835477563) x)
(/ y 5641895835477563/5000000000000000)
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x)
(+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)
(* x 25000000000000000000000000000000/31830988618379068626528276418969)
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) x)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) x)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
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simplify834.0ms (7.7%)

Memory
-12.0MiB live, 512.5MiB allocated
Algorithm
egg-herbie
Rules
16 628×accelerator-lowering-fma.f32
16 628×accelerator-lowering-fma.f64
3 048×*-lowering-*.f32
3 048×*-lowering-*.f64
1 652×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851098
15611092
216251040
360981040
08406912
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ -1 x)
(/ (- (pow x 2) 1) x)
(/ (- (pow x 2) 1) x)
(/ (- (pow x 2) 1) x)
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* 5000000000000000/5641895835477563 y)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* 5000000000000000/5641895835477563 y)
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 5000000000000000/5641895835477563) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 5000000000000000/5641895835477563) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x)))
(* 5000000000000000/5641895835477563 y)
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))
(* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))
(* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))
(* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))
(* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))
(* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))
(* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))
(* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))
(* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))
(* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 x)
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (pow x 2) 1) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(/ (- (pow x 2) 1) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(/ (- (pow x 2) 1) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
x
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
x
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))
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(* 5641895835477563/10000000000000000 (pow z 2))
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z z))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))

eval100.0ms (0.9%)

Memory
10.2MiB live, 89.6MiB allocated
Compiler

Compiled 10 425 to 1 086 computations (89.6% saved)

prune102.0ms (0.9%)

Memory
25.0MiB live, 102.9MiB allocated
Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New5305535
Fresh325
Picked145
Done145
Total53515550
Accuracy
100.0%
Counts
550 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(fma.f64 y (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (fma.f64 x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) #s(literal -5000000000000000/5641895835477563 binary64))) x)
62.1%
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
18.0%
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
18.1%
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
17.8%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
16.8%
(/.f64 #s(literal -1 binary64) x)
88.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
64.3%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
17.6%
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
17.8%
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
3.0%
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
18.3%
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
17.7%
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
17.7%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
68.5%
x
Compiler

Compiled 455 to 230 computations (49.5% saved)

regimes112.0ms (1%)

Memory
-8.6MiB live, 75.3MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
(fma.f64 y (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (fma.f64 x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) #s(literal -5000000000000000/5641895835477563 binary64))) x)
(fma.f64 (/.f64 y (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) x)
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(/.f64 (fma.f64 (*.f64 y (neg.f64 y)) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
x
Calls

6 calls:

39.0ms
(exp.f64 z)
37.0ms
z
9.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
96.5%2x
94.2%1y
99.9%3z
99.9%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes34.0ms (0.3%)

Memory
4.7MiB live, 42.4MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
x
Calls

4 calls:

13.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
7.0ms
z
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.3%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%3z
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes26.0ms (0.2%)

Memory
-5.7MiB live, 32.4MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
Calls

3 calls:

12.0ms
(exp.f64 z)
7.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
98.3%2z
98.3%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.3%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes59.0ms (0.5%)

Memory
-14.5MiB live, 25.2MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
x
Calls

3 calls:

46.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms
z
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.8%3z
99.8%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.8%3(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes18.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
x
Calls

3 calls:

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

Compiled 16 to 13 computations (18.8% saved)

regimes112.0ms (1%)

Memory
-11.5MiB live, 61.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
x
Calls

6 calls:

51.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
40.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
z
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
88.9%5(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
83.1%3y
78.5%3x
87.3%3z
87.3%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
87.3%3(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes55.0ms (0.5%)

Memory
-10.1MiB live, 29.2MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
x
Calls

3 calls:

48.0ms
z
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
87.2%3z
87.2%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
87.2%3(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes67.0ms (0.6%)

Memory
-11.9MiB live, 40.4MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
Outputs
x
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
x
Calls

5 calls:

54.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
4.0ms
y
3.0ms
z
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
76.5%3y
70.4%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
79.3%3z
79.3%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
79.3%3(exp.f64 z)
Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
Outputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
x
Calls

5 calls:

2.0ms
z
2.0ms
x
1.0ms
y
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
1.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
68.5%1y
74.0%3x
68.5%1z
68.5%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
68.5%1(exp.f64 z)
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
1.0ms
x
Results
AccuracySegmentsBranch
68.5%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
68.5%1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2267949353929906
+inf
0.0ms
0.0
5.036732595230231e-28
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2267949353929906
+inf
0.0ms
0.0
5.036732595230231e-28
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.036732595230231e-28
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2267949353929906
+inf
0.0ms
0.0
5.036732595230231e-28
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2267949353929906
+inf
0.0ms
0.0
5.036732595230231e-28
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000932452
1.0000000098821293
0.0ms
0.9085958582554848
0.9999991443982672
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000932452
1.0000000098821293
0.0ms
0.9085958582554848
0.9999991443982672
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000932452
1.0000000098821293
0.0ms
0.9085958582554848
0.9999991443982672
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch110.0ms (1%)

Memory
-9.1MiB live, 69.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
7.607768130318575e-153
5.039374989649328e-149
62.0ms
-1.0606860698089117e-204
-2.257794329120875e-215
Samples
97.0ms288×0valid
Compiler

Compiled 234 to 196 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-div: 77.0ms (85.6% of total)
ival-mult: 4.0ms (4.4% of total)
const: 4.0ms (4.4% of total)
ival-exp: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
ival-add: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify27.0ms (0.2%)

Memory
-11.6MiB live, 27.0MiB allocated
Algorithm
egg-herbie
Rules
24×+-commutative_binary64
12×*-commutative_binary64
10×sub-neg_binary64
cancel-sign-sub-inv_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073219
1103219
2115219
3120219
4122219
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x))
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) x (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x))
(if (<=.f64 x #s(literal -5459700074538101/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) x (if (<=.f64 x #s(literal 5307134659905293/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
x
Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x))
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) x (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x))
(if (<=.f64 x #s(literal -5459700074538101/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) x (if (<=.f64 x #s(literal 5307134659905293/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
x

soundness724.0ms (6.7%)

Memory
28.3MiB live, 668.9MiB allocated
Rules
9 054×accelerator-lowering-fma.f32
9 054×accelerator-lowering-fma.f64
8 782×accelerator-lowering-fma.f32
8 782×accelerator-lowering-fma.f64
5 940×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09597913
130627776
081846981
03161999
19041979
226441891
083361801
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 479 to 250 computations (47.8% saved)

preprocess81.0ms (0.7%)

Memory
-15.1MiB live, 259.8MiB allocated
Compiler

Compiled 504 to 186 computations (63.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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