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

Time bar (total: 10.1s)

analyze107.0ms (1.1%)

Memory
35.9MiB live, 191.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.3s (13.2%)

Memory
4.7MiB live, 1 786.2MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 796.0ms
const: 392.0ms (49.2% of total)
ival-mult: 143.0ms (18% of total)
ival-exp: 75.0ms (9.4% of total)
ival-div: 68.0ms (8.5% of total)
ival-add: 63.0ms (7.9% of total)
ival-sub: 46.0ms (5.8% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess95.0ms (0.9%)

Memory
-11.3MiB live, 72.2MiB allocated
Algorithm
2×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
1×iter limit
1×saturated
1×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))))

explain175.0ms (1.7%)

Memory
4.7MiB live, 330.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-1(-2.866139607617488e-119 1.2430833284734908e-199 -4.189496161472153e+61)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
60-0-(-.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-rescue60
↳(exp.f64 z)overflow54
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow54
↳(*.f64 x y)overflow36
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u60
↳(exp.f64 z)underflow67
↳(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow67
↳(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow6
↳(*.f64 x y)underflow23
Confusion
Predicted +Predicted -
+121
-0243
Precision
1.0
Recall
0.9230769230769231
Confusion?
Predicted +Predicted MaybePredicted -
+1201
-00243
Precision?
1.0
Recall?
0.9230769230769231
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms512×0valid
Compiler

Compiled 120 to 44 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 29.0ms (43.4% of total)
ival-exp: 16.0ms (24% of total)
const: 8.0ms (12% of total)
ival-mult: 6.0ms (9% of total)
ival-div: 3.0ms (4.5% of total)
ival-sub: 2.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.1%
(+.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)

simplify26.0ms (0.3%)

Memory
-0.5MiB live, 37.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
✓cost-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
1×iter limit
1×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)

localize42.0ms (0.4%)

Memory
3.7MiB live, 80.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 z)
✓accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓accuracy98.1%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓accuracy87.8%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
31.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 4.0ms (30.6% of total)
ival-mult: 3.0ms (23% of total)
ival-div: 2.0ms (15.3% of total)
ival-exp: 2.0ms (15.3% of total)
ival-sub: 1.0ms (7.7% of total)
ival-add: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
8.6MiB live, 44.7MiB 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
5.0ms
y
@-inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
z
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
y
@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))))

rewrite480.0ms (4.8%)

Memory
-13.7MiB live, 627.4MiB allocated
Algorithm
1×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
1×iter limit
1×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)
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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 6 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (-.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64))))
(*.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)

simplify420.0ms (4.2%)

Memory
14.8MiB live, 640.2MiB allocated
Algorithm
1×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
1×iter limit
1×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))))))
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x
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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)

eval106.0ms (1%)

Memory
-3.3MiB live, 112.6MiB allocated
Compiler

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

prune171.0ms (1.7%)

Memory
11.5MiB live, 128.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New39013403
Fresh000
Picked101
Done000
Total39113404
Accuracy
100.0%
Counts
404 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.3%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
60.6%
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
85.7%
(+.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)))))
▶85.7%
(+.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)))))
84.7%
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
84.1%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
86.7%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
60.7%
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
▶70.5%
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
65.3%
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
73.0%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
▶14.7%
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶69.0%
x
Compiler

Compiled 334 to 222 computations (33.5% saved)

simplify363.0ms (3.6%)

Memory
18.1MiB live, 176.9MiB allocated
Algorithm
1×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
(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)))))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(*.f64 y (neg.f64 x))
✓cost-diff0
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓cost-diff448
(/.f64 y (*.f64 y (neg.f64 x)))
✓cost-diff0
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
✓cost-diff0
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
✓cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
Rules
3 832×accelerator-lowering-fma.f32
3 832×accelerator-lowering-fma.f64
2 248×*-lowering-*.f32
2 248×*-lowering-*.f64
1 584×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030153
168142
2138142
3236141
4392141
5745141
61573141
72799141
84421141
95722141
106656141
116961141
127059141
137195141
147695141
157839141
167839141
177843141
187843141
08143128
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x)
(/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)))
-1
(+ (* x y) (* (exp z) -5641895835477563/5000000000000000))
x
y
(* (exp z) -5641895835477563/5000000000000000)
(exp z)
z
-5641895835477563/5000000000000000
x
(+ x (/ y (* y (neg x))))
x
(/ y (* y (neg x)))
y
(* y (neg x))
(neg x)
(+ 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
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(exp (neg z))
(neg z)
z
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
Outputs
(+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x)
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)))
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
-1
#s(literal -1 binary64)
(+ (* x y) (* (exp z) -5641895835477563/5000000000000000))
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))
x
y
(* (exp z) -5641895835477563/5000000000000000)
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp z)
(exp.f64 z)
z
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
x
(+ x (/ y (* y (neg x))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/ y (* y (neg x)))
(/.f64 #s(literal -1 binary64) x)
y
(* y (neg x))
(*.f64 x (neg.f64 y))
(neg x)
(neg.f64 x)
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 x y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
(/.f64 y (fma.f64 x (neg.f64 y) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
y
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(fma.f64 x (neg.f64 y) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(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)
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(*.f64 y (*.f64 (exp.f64 (neg.f64 z)) #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

localize224.0ms (2.2%)

Memory
-65.9MiB live, 171.1MiB 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)
✓accuracy99.8%
(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))
✓accuracy99.6%
(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)))
✓accuracy83.6%
(/.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))))
✓accuracy100.0%
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓accuracy100.0%
(*.f64 y (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy77.8%
(/.f64 y (*.f64 y (neg.f64 x)))
✓accuracy100.0%
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
✓accuracy100.0%
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
✓accuracy99.1%
(/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
✓accuracy97.3%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
Samples
112.0ms256×0valid
Compiler

Compiled 139 to 32 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
const: 46.0ms (48.3% of total)
ival-exp: 20.0ms (21% of total)
ival-mult: 14.0ms (14.7% of total)
ival-add: 7.0ms (7.3% of total)
ival-div: 5.0ms (5.2% of total)
ival-neg: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
19.7MiB live, 57.4MiB allocated
Counts
17 → 396
Calls
Call 1
Inputs
#<alt (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x)>
#<alt (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)))>
#<alt (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))>
#<alt (* (exp z) -5641895835477563/5000000000000000)>
#<alt (/ y (* y (neg x)))>
#<alt (+ x (/ y (* y (neg x))))>
#<alt (* y (neg x))>
#<alt (neg x)>
#<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 (* (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)>
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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))))>
#<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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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 (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))))>
#<alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))))>
#<alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))))>
#<alt (/ 5000000000000000/5641895835477563 (exp z))>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))>
#<alt (+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))>
#<alt (+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))>
#<alt (/ -1 (* x y))>
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x)>
#<alt (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x))>
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Calls

99 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+ x (/ y (* y (neg x))))
3.0ms
x
@0
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
2.0ms
x
@0
(+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x)
1.0ms
z
@inf
(+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x)
1.0ms
z
@-inf
(+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x)

rewrite564.0ms (5.6%)

Memory
3.0MiB live, 597.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 014×accelerator-lowering-fma.f32
6 014×accelerator-lowering-fma.f64
4 762×/-lowering-/.f32
4 762×/-lowering-/.f64
3 862×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030133
1169122
21535122
08196110
Stop Event
1×iter limit
1×node limit
Counts
17 → 408
Calls
Call 1
Inputs
(+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x)
(/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)))
(+ (* x y) (* (exp z) -5641895835477563/5000000000000000))
(* (exp z) -5641895835477563/5000000000000000)
(/ y (* y (neg x)))
(+ x (/ y (* y (neg x))))
(* y (neg x))
(neg x)
(+ 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))
(* (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)
Outputs
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (/.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) y x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) (/.f64 y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 (*.f64 z #s(literal 3 binary64))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) x)
(fma.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (*.f64 z #s(literal 3 binary64))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (/.f64 y (/.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 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -1 binary64) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (/.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 (exp.f64 (*.f64 z #s(literal 3 binary64))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) (neg.f64 y)) (neg.f64 (*.f64 x y))) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3 binary64))) (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) (neg.f64 y)) (neg.f64 (*.f64 x y))) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (neg.f64 (*.f64 x x))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) (neg.f64 y)) (neg.f64 (*.f64 x y))) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (neg.f64 (*.f64 x x)))) (neg.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (neg.f64 (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (/.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (*.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))))
(*.f64 (fma.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64)) (*.f64 y y) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))))
(pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (*.f64 z #s(literal 3 binary64))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
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simplify468.0ms (4.6%)

Memory
33.5MiB live, 821.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 954×accelerator-lowering-fma.f32
7 954×accelerator-lowering-fma.f64
5 490×*-lowering-*.f32
5 490×*-lowering-*.f64
3 878×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07625760
123435623
276125601
082225106
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
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x
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(/ (- (+ (* -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)))))
(+ 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))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)))))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 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 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) z))))
(* 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) (* z (+ (* -2500000000000000/16925687506432689 (* y z)) (* 2500000000000000/5641895835477563 y))))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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)
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)))))
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 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (fma.f64 (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (*.f64 x (fma.f64 x (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z)))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 1 binary64)))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))))
(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 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z))))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(neg.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(*.f64 (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x (*.f64 x x)))) #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(neg.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y x))) (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) y)) (*.f64 x (*.f64 x x)))) (neg.f64 x)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(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)
(+ x (* y (+ (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) x))
(- (+ x (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))))) (/ 1 x))
(+.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) x) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(- (+ x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x))
(+.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))) x))) (/.f64 #s(literal -1 binary64) x))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x x)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 x (*.f64 x x)))))) y)) (/.f64 #s(literal -1 binary64) 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))
(+.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x x)) (neg.f64 (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (exp.f64 (+.f64 z (+.f64 z z))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y))) y)) (/.f64 #s(literal -1 binary64) x))
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
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(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/10000000000000000 (pow z 2))
(*.f64 z (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.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 5641895835477563/5000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* 5641895835477563/10000000000000000 (pow z 2))
(*.f64 z (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.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 5641895835477563/5000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))

eval119.0ms (1.2%)

Memory
-17.4MiB live, 341.9MiB allocated
Compiler

Compiled 18 704 to 2 212 computations (88.2% saved)

prune123.0ms (1.2%)

Memory
-19.0MiB live, 259.6MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New82010830
Fresh628
Picked325
Done000
Total82914843
Accuracy
100.0%
Counts
843 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
60.6%
(fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) y x)
▶37.7%
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
14.7%
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
14.2%
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
20.5%
(/.f64 #s(literal -1 binary64) x)
86.7%
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
▶73.0%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
85.7%
(+.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)))))
85.7%
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
▶86.7%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓14.7%
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶14.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓69.0%
x
Compiler

Compiled 290 to 199 computations (31.4% saved)

simplify96.0ms (1%)

Memory
9.0MiB live, 86.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
✓cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 y (*.f64 z z))
✓cost-diff0
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
✓cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓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))))
Rules
880×accelerator-lowering-fma.f32
880×accelerator-lowering-fma.f64
656×*-lowering-*.f32
656×*-lowering-*.f64
274×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02388
14388
26888
38888
411588
513888
619688
726288
836288
951688
1081188
11133288
12212888
13240888
14245688
15249288
16249288
0249283
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
y
(- 5641895835477563/5000000000000000 (* y x))
5641895835477563/5000000000000000
(* y x)
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
(+ (/ -1 x) x)
(/ -1 x)
-1
x
(+ (* 10000000000000000/5641895835477563 (/ y (* z z))) x)
10000000000000000/5641895835477563
(/ y (* z z))
y
(* z z)
z
x
(+ (* (/ -1 (+ (* y x) -5641895835477563/5000000000000000)) y) x)
(/ -1 (+ (* y x) -5641895835477563/5000000000000000))
-1
(+ (* y x) -5641895835477563/5000000000000000)
y
x
-5641895835477563/5000000000000000
Outputs
(+ 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 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(- 5641895835477563/5000000000000000 (* y x))
(fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* y x)
(*.f64 x y)
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
(+ (/ -1 x) x)
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ (* 10000000000000000/5641895835477563 (/ y (* z z))) x)
(fma.f64 y (/.f64 #s(literal 10000000000000000/5641895835477563 binary64) (*.f64 z z)) x)
10000000000000000/5641895835477563
#s(literal 10000000000000000/5641895835477563 binary64)
(/ y (* z z))
(/.f64 y (*.f64 z z))
y
(* z z)
(*.f64 z z)
z
x
(+ (* (/ -1 (+ (* y x) -5641895835477563/5000000000000000)) y) x)
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(/ -1 (+ (* y x) -5641895835477563/5000000000000000))
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
-1
#s(literal -1 binary64)
(+ (* y x) -5641895835477563/5000000000000000)
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
y
x
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)

localize82.0ms (0.8%)

Memory
15.0MiB live, 132.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓accuracy99.8%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
✓accuracy98.7%
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.8%
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
✓accuracy88.7%
(/.f64 y (*.f64 z z))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
✓accuracy99.4%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓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))
✓accuracy86.5%
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
Samples
60.0ms256×0valid
Compiler

Compiled 87 to 25 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
const: 14.0ms (30.8% of total)
ival-mult: 13.0ms (28.6% of total)
ival-div: 10.0ms (22% of total)
ival-add: 5.0ms (11% of total)
ival-sub: 2.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
10.9MiB live, 47.0MiB allocated
Counts
13 → 276
Calls
Call 1
Inputs
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (- 5641895835477563/5000000000000000 (* y x))>
#<alt (* y x)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (/ -1 x) x)>
#<alt (/ -1 x)>
#<alt (+ (* 10000000000000000/5641895835477563 (/ y (* z z))) x)>
#<alt (/ y (* z z))>
#<alt (* z z)>
#<alt (+ (* (/ -1 (+ (* y x) -5641895835477563/5000000000000000)) y) x)>
#<alt (/ -1 (+ (* y x) -5641895835477563/5000000000000000))>
#<alt (+ (* y x) -5641895835477563/5000000000000000)>
Outputs
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))>
#<alt (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x 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 (/ -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 (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (* y (+ (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))) (/ x y)))>
#<alt (* y (+ (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))) (/ x y)))>
#<alt (* y (+ (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))) (/ x y)))>
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))))))>
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#<alt (* -1 (* y (- (* -1 (/ x y)) (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))))))>
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (/ (+ (* 10000000000000000/5641895835477563 y) (* x (pow z 2))) (pow z 2))>
#<alt (/ (+ (* 10000000000000000/5641895835477563 y) (* x (pow z 2))) (pow z 2))>
#<alt (/ (+ (* 10000000000000000/5641895835477563 y) (* x (pow z 2))) (pow z 2))>
#<alt x>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt x>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt x>
#<alt (* x (+ 1 (* 10000000000000000/5641895835477563 (/ y (* x (pow z 2))))))>
#<alt (* x (+ 1 (* 10000000000000000/5641895835477563 (/ y (* x (pow z 2))))))>
#<alt (* x (+ 1 (* 10000000000000000/5641895835477563 (/ y (* x (pow z 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -10000000000000000/5641895835477563 (/ y (* x (pow z 2)))) 1)))>
#<alt (* -1 (* x (- (* -10000000000000000/5641895835477563 (/ y (* x (pow z 2)))) 1)))>
#<alt (* -1 (* x (- (* -10000000000000000/5641895835477563 (/ y (* x (pow z 2)))) 1)))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
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#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
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#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
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#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))>
#<alt 5000000000000000/5641895835477563>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))>
#<alt (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))) y))>
#<alt (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) y))>
#<alt 5000000000000000/5641895835477563>
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))>
#<alt (+ 5000000000000000/5641895835477563 (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 2))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))))>
#<alt (+ 5000000000000000/5641895835477563 (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 3))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))))>
#<alt (/ -1 (* x y))>
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#<alt (/ -1 (* x y))>
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#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 5641895835477563/5000000000000000 (* x (pow y 2))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 4)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ 1 (pow y 2)))) x)) (/ 1 y)) x))>
#<alt -5641895835477563/5000000000000000>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (* x y)>
#<alt (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt -5641895835477563/5000000000000000>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (* x y)>
#<alt (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
Calls

69 calls:

TimeVariablePointExpression
11.0ms
y
@0
(/ y (* z z))
2.0ms
y
@0
(+ (* (/ -1 (+ (* y x) -5641895835477563/5000000000000000)) y) x)
1.0ms
x
@0
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
1.0ms
y
@inf
(+ (* 10000000000000000/5641895835477563 (/ y (* z z))) x)
0.0ms
x
@0
(+ (* (/ -1 (+ (* y x) -5641895835477563/5000000000000000)) y) x)

rewrite337.0ms (3.3%)

Memory
-19.6MiB live, 547.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 778×accelerator-lowering-fma.f32
5 778×accelerator-lowering-fma.f64
3 640×*-lowering-*.f32
3 640×*-lowering-*.f64
3 528×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02373
113973
2119273
0858168
Stop Event
1×iter limit
1×node limit
Counts
13 → 502
Calls
Call 1
Inputs
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(* 5000000000000000/5641895835477563 y)
(+ (/ -1 x) x)
(/ -1 x)
(+ (* 10000000000000000/5641895835477563 (/ y (* z z))) x)
(/ y (* z z))
(* z z)
(+ (* (/ -1 (+ (* y x) -5641895835477563/5000000000000000)) y) x)
(/ -1 (+ (* y x) -5641895835477563/5000000000000000))
(+ (* y x) -5641895835477563/5000000000000000)
Outputs
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) x)
(+.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(fma.f64 x #s(literal 1 binary64) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) x)
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simplify441.0ms (4.4%)

Memory
28.1MiB live, 587.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 358×accelerator-lowering-fma.f32
9 358×accelerator-lowering-fma.f64
4 500×*-lowering-*.f32
4 500×*-lowering-*.f64
2 552×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03292425
19202363
222742227
366282198
081462100
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(/ -1 x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(/ -1 x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(* -1 (* x y))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x 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)
(/ -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 (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(* y (+ (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))) (/ x y)))
(* y (+ (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))) (/ x y)))
(* y (+ (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))) (/ x y)))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(* -1 (* y (- (* -1 (/ x y)) (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))))))
(* -1 (* y (- (* -1 (/ x y)) (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))))))
(* -1 (* y (- (* -1 (/ x y)) (* 10000000000000000/5641895835477563 (/ 1 (pow z 2))))))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(/ (+ (* 10000000000000000/5641895835477563 y) (* x (pow z 2))) (pow z 2))
(/ (+ (* 10000000000000000/5641895835477563 y) (* x (pow z 2))) (pow z 2))
(/ (+ (* 10000000000000000/5641895835477563 y) (* x (pow z 2))) (pow z 2))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
x
(* x (+ 1 (* 10000000000000000/5641895835477563 (/ y (* x (pow z 2))))))
(* x (+ 1 (* 10000000000000000/5641895835477563 (/ y (* x (pow z 2))))))
(* x (+ 1 (* 10000000000000000/5641895835477563 (/ y (* x (pow z 2))))))
x
(* -1 (* x (- (* -10000000000000000/5641895835477563 (/ y (* x (pow z 2)))) 1)))
(* -1 (* x (- (* -10000000000000000/5641895835477563 (/ y (* x (pow z 2)))) 1)))
(* -1 (* x (- (* -10000000000000000/5641895835477563 (/ y (* x (pow z 2)))) 1)))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))))
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))
(+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))) y))
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) y))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))
(+ 5000000000000000/5641895835477563 (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 2))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))))
(+ 5000000000000000/5641895835477563 (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 3))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2))))) x))
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow y 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 3))))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 4))))) (pow x 2))) (+ (/ 1 y) (/ 5641895835477563/5000000000000000 (* x (pow y 2))))) x)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 5641895835477563/5000000000000000 (* x (pow y 2))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 4)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ 1 (pow y 2)))) x)) (/ 1 y)) x))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(* x y)
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(* x y)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
Outputs
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 y (fma.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x x)))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
x
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(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* -1 (/ (+ (/ 1 y) (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2))))) x))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) y)
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow y 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 3))))) x)) (/ 1 y)) x)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y y)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 4))))) (pow x 2))) (+ (/ 1 y) (/ 5641895835477563/5000000000000000 (* x (pow y 2))))) x)
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) y) (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (*.f64 x (*.f64 x x))))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* -1 (/ (+ (/ 1 y) (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2))))) x))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) y)
(* -1 (/ (+ (/ 1 y) (+ (/ 5641895835477563/5000000000000000 (* x (pow y 2))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 y x)))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 x x)))))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 4)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ 1 (pow y 2)))) x)) (/ 1 y)) x))
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) y) (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (*.f64 x (*.f64 x x))))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))

eval226.0ms (2.2%)

Memory
-13.4MiB live, 176.0MiB allocated
Compiler

Compiled 14 784 to 1 427 computations (90.3% saved)

prune124.0ms (1.2%)

Memory
-14.6MiB live, 145.2MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New7744778
Fresh167
Picked235
Done022
Total77715792
Accuracy
100.0%
Counts
792 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
▶59.0%
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
▶3.1%
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
14.7%
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
14.2%
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
20.5%
(/.f64 #s(literal -1 binary64) x)
▶86.7%
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓73.0%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
85.7%
(+.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)))))
▶85.7%
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
✓86.7%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶59.0%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓14.7%
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓14.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓69.0%
x
Compiler

Compiled 270 to 186 computations (31.1% saved)

simplify206.0ms (2%)

Memory
46.6MiB live, 153.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y (neg.f64 x) (+.f64 (*.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) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))))
✓cost-diff128
(+.f64 (*.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) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 y #s(literal 10000000000000000/5641895835477563 binary64))
✓cost-diff0
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
✓cost-diff128
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓cost-diff384
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓cost-diff0
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓cost-diff0
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓cost-diff0
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
✓cost-diff0
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
Rules
2 448×accelerator-lowering-fma.f32
2 448×accelerator-lowering-fma.f64
1 024×*-lowering-*.f32
1 024×*-lowering-*.f64
772×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028135
163132
2117132
3194132
4328132
5603132
61040132
71668132
82185132
92979132
103492132
113599132
123723132
133773132
143817132
153817132
03817116
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x (/ y (+ (* y x) -5641895835477563/5000000000000000)))
x
(/ y (+ (* y x) -5641895835477563/5000000000000000))
y
(+ (* y x) -5641895835477563/5000000000000000)
-5641895835477563/5000000000000000
(+ (* 5000000000000000/5641895835477563 y) x)
5000000000000000/5641895835477563
y
x
(+ x (/ y 5641895835477563/5000000000000000))
x
(/ y 5641895835477563/5000000000000000)
y
5641895835477563/5000000000000000
(/ (* y 10000000000000000/5641895835477563) (* z z))
(* y 10000000000000000/5641895835477563)
y
10000000000000000/5641895835477563
(* z z)
z
(+ 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))
z
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
5641895835477563/10000000000000000
5641895835477563/5000000000000000
Outputs
(- x (/ y (+ (* y x) -5641895835477563/5000000000000000)))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/ y (+ (* y x) -5641895835477563/5000000000000000))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(+ (* y x) -5641895835477563/5000000000000000)
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(+ (* 5000000000000000/5641895835477563 y) x)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
(+ 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)
(/ (* y 10000000000000000/5641895835477563) (* z z))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(* y 10000000000000000/5641895835477563)
(*.f64 y #s(literal 10000000000000000/5641895835477563 binary64))
y
10000000000000000/5641895835477563
#s(literal 10000000000000000/5641895835477563 binary64)
(* z z)
(*.f64 z z)
z
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 x y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
(/.f64 (neg.f64 y) (fma.f64 x y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))
y
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(-.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))
(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))
(*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 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)

localize249.0ms (2.5%)

Memory
-10.4MiB live, 150.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy99.6%
(*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓accuracy99.6%
(fma.f64 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))
✓accuracy83.6%
(/.f64 y (fma.f64 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.4%
(*.f64 y #s(literal 10000000000000000/5641895835477563 binary64))
✓accuracy88.7%
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
✓accuracy100.0%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓accuracy99.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy99.7%
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓accuracy100.0%
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓accuracy100.0%
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓accuracy86.5%
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
Samples
179.0ms256×0valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-mult: 51.0ms (31.2% of total)
ival-div: 44.0ms (26.9% of total)
ival-sub: 43.0ms (26.3% of total)
const: 17.0ms (10.4% of total)
ival-add: 7.0ms (4.3% of total)
ival-neg: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory
-16.5MiB live, 21.9MiB allocated
Counts
15 → 324
Calls
Call 1
Inputs
#<alt (- x (/ y (+ (* y x) -5641895835477563/5000000000000000)))>
#<alt (/ y (+ (* y x) -5641895835477563/5000000000000000))>
#<alt (+ (* y x) -5641895835477563/5000000000000000)>
#<alt (+ (* 5000000000000000/5641895835477563 y) x)>
#<alt (/ y 5641895835477563/5000000000000000)>
#<alt (+ x (/ y 5641895835477563/5000000000000000))>
#<alt (/ (* y 10000000000000000/5641895835477563) (* z z))>
#<alt (* y 10000000000000000/5641895835477563)>
#<alt (* z z)>
#<alt (+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))>
#<alt (+ (* 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 (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000))>
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)>
Outputs
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))>
#<alt (- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))>
#<alt (- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
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#<alt (* 5641895835477563/10000000000000000 z)>
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#<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

81 calls:

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

rewrite700.0ms (6.9%)

Memory
24.7MiB live, 592.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 170×accelerator-lowering-fma.f32
5 170×accelerator-lowering-fma.f64
4 390×/-lowering-/.f32
4 390×/-lowering-/.f64
4 384×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028116
1188113
21572113
0839398
Stop Event
1×iter limit
1×node limit
Counts
15 → 480
Calls
Call 1
Inputs
(- x (/ y (+ (* y x) -5641895835477563/5000000000000000)))
(/ y (+ (* y x) -5641895835477563/5000000000000000))
(+ (* y x) -5641895835477563/5000000000000000)
(+ (* 5000000000000000/5641895835477563 y) x)
(/ y 5641895835477563/5000000000000000)
(+ x (/ y 5641895835477563/5000000000000000))
(/ (* y 10000000000000000/5641895835477563) (* z z))
(* y 10000000000000000/5641895835477563)
(* z z)
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
(+ (* 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))
(* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000))
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
Outputs
(+.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 x x (-.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (-.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (fma.f64 x x (-.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (-.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (*.f64 (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) (fma.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) y)) #s(literal -1 binary64)))
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(neg.f64 (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (neg.f64 y) (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) y) #s(literal 1 binary64)))
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(*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) z)
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(+.f64 (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))
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(/.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))
(*.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))

simplify487.0ms (4.8%)

Memory
-28.4MiB live, 668.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 796×accelerator-lowering-fma.f32
7 796×accelerator-lowering-fma.f64
5 418×*-lowering-*.f32
5 418×*-lowering-*.f64
3 040×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05954656
118464541
257964458
081614038
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(* -5000000000000000/5641895835477563 y)
(* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))
(* y (- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(* y (- (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(/ 1 x)
(+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))
(+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))))
(/ 1 x)
(+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(* -5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)
(/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x)
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(* x y)
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(* x y)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
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(* -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)))))
(+ 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))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)))))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 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 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) z))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))
(* 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))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
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
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y))) x))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(fma.f64 x (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 x x))) x)
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x) x)
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x))))) (neg.f64 x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x) x)
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 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 x (*.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 (-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x))))) y)) (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+.f64 (-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x)))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(+.f64 (-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x))))) y)) (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(+.f64 (-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) y)) (/.f64 #s(literal -1 binary64) x))
(* -5000000000000000/5641895835477563 y)
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
(* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 y (*.f64 x #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64)))
(* y (- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 (*.f64 x x) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (*.f64 x #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) #s(literal -5000000000000000/5641895835477563 binary64)))
(* y (- (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (*.f64 (*.f64 x x) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (*.f64 x #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) #s(literal -5000000000000000/5641895835477563 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))))
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x)))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 x x))))))
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(* -1 (* x y))
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(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)))))
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(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(* 5641895835477563/10000000000000000 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 5641895835477563/10000000000000000 binary64))
(* (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 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))))
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(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))))
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(* 5641895835477563/10000000000000000 (pow z 2))
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(* (pow z 2) (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) z))))
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(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
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(*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
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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))
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(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
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(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
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(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))

eval155.0ms (1.5%)

Memory
-3.5MiB live, 237.2MiB allocated
Compiler

Compiled 21 616 to 2 250 computations (89.6% saved)

prune89.0ms (0.9%)

Memory
8.5MiB live, 247.0MiB allocated
Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New8040804
Fresh055
Picked055
Done055
Total80415819
Accuracy
100.0%
Counts
819 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
✓59.0%
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓3.1%
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
14.7%
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
14.2%
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
20.5%
(/.f64 #s(literal -1 binary64) x)
✓86.7%
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓73.0%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
85.7%
(+.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)))))
✓85.7%
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
✓86.7%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓59.0%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓14.7%
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓14.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓69.0%
x
Compiler

Compiled 398 to 199 computations (50% saved)

regimes53.0ms (0.5%)

Memory
-2.9MiB live, 115.3MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(+.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 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
(+.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 (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)
(fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) y x)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
Outputs
(+.f64 x (/.f64 #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)))) y x)
Calls

6 calls:

13.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
9.0ms
y
8.0ms
z
8.0ms
x
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
97.3%1x
97.3%1y
99.9%2z
97.3%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes46.0ms (0.5%)

Memory
7.0MiB live, 84.3MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(+.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 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
(+.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 (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)
(fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) y x)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
Calls

6 calls:

9.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
8.0ms
y
8.0ms
z
8.0ms
x
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
95.1%1x
95.1%1y
98.6%2(+.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 39 to 29 computations (25.6% saved)

regimes34.0ms (0.3%)

Memory
-5.6MiB live, 36.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(+.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 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
(+.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 (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)
(fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) y x)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
Calls

4 calls:

14.0ms
(+.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)
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
99.9%3z
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
95.8%4(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes26.0ms (0.3%)

Memory
-4.3MiB live, 35.0MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(+.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 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
(+.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 (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)
(fma.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) y x)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
Calls

3 calls:

12.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms
z
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.9%3z
99.9%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%3(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes19.0ms (0.2%)

Memory
-5.5MiB live, 32.5MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(+.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 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
(+.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 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
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

3 calls:

7.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms
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)

regimes19.0ms (0.2%)

Memory
-8.6MiB live, 28.2MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(+.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 y (neg.f64 x) (+.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))))
x
Calls

3 calls:

9.0ms
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)

regimes16.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(+.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 y (neg.f64 x) (+.f64 (*.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 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
x
Calls

3 calls:

6.0ms
z
4.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
(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)

regimes16.0ms (0.2%)

Memory
-33.9MiB live, 17.2MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (*.f64 z z))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
x
Calls

3 calls:

8.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms
z
3.0ms
(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)

regimes18.0ms (0.2%)

Memory
29.9MiB live, 29.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) y x)
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(+.f64 x (/.f64 #s(literal -1 binary64) x))
Calls

6 calls:

3.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
3.0ms
y
3.0ms
x
3.0ms
z
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
88.1%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
78.4%3x
84.0%3y
87.7%4z
86.1%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
86.1%3(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes15.0ms (0.1%)

Memory
-9.3MiB live, 29.3MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
Outputs
x
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/.f64 #s(literal -1 binary64) x)
x
Calls

6 calls:

5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
78.4%4x
75.5%3y
74.0%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
74.0%3(exp.f64 z)
74.0%3z
69.0%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
Outputs
x
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
76.2%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory
-16.4MiB live, 22.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
Outputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
x
Calls

5 calls:

6.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
1.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
69.0%1(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
69.0%1(exp.f64 z)
69.0%1z
69.0%1y
73.4%3x
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes3.0ms (0%)

Memory
9.0MiB live, 9.0MiB 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
x
1.0ms
z
Results
AccuracySegmentsBranch
69.0%1z
69.0%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999998927971377
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5741449527605932e+275
1.8218606157370091e+283
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000004388
0.0ms
0.0
0.9999998927971377
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000004388
0.0ms
0.0
0.9999998927971377
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
580919.771586165
+inf
0.0ms
0.0
0.9999998927971377
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
580919.771586165
+inf
0.0ms
0.0
0.9999998927971377
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
580919.771586165
+inf
0.0ms
0.0
0.9999998927971377
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
580919.771586165
+inf
0.0ms
0.0
0.9999998927971377
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.2363845477546676
433950182558.7015
0.0ms
-107560.22415102703
-0.646821817562911
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch42.0ms (0.4%)

Memory
-5.1MiB live, 77.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
9.297117106314762e-6
2.2363845477546676
15.0ms
3.32195291058148e-51
1.5894342467923894e-46
4.0ms
-4.8096469008622003e-150
-4.363912595628087e-150
Samples
29.0ms304×0valid
Compiler

Compiled 272 to 222 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
const: 4.0ms (24.6% of total)
ival-mult: 3.0ms (18.5% of total)
ival-sub: 2.0ms (12.3% of total)
ival-div: 2.0ms (12.3% of total)
ival-exp: 2.0ms (12.3% of total)
ival-add: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-13.1MiB live, 25.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
1.7762626298034102e-95
5.910132364621296e-93
4.0ms
-4.8096469008622003e-150
-4.363912595628087e-150
Samples
22.0ms160×0valid
Compiler

Compiled 148 to 116 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 2.0ms (24.9% of total)
const: 2.0ms (24.9% of total)
ival-sub: 1.0ms (12.5% of total)
ival-div: 1.0ms (12.5% of total)
ival-exp: 1.0ms (12.5% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.5%)

Memory
4.5MiB live, 42.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
6.3574133538453654e-111
1.5498027030131693e-109
14.0ms
-1.0228322861107271e-240
-1.8485735281814523e-245
Samples
44.0ms240×0valid
Compiler

Compiled 198 to 166 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (25.3% of total)
const: 3.0ms (25.3% of total)
ival-div: 2.0ms (16.9% of total)
ival-exp: 2.0ms (16.9% of total)
ival-sub: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify22.0ms (0.2%)

Memory
-10.6MiB live, 27.6MiB allocated
Algorithm
1×egg-herbie
Rules
32×+-commutative_binary64
22×*-commutative_binary64
20×sub-neg_binary64
12×neg-sub0_binary64
12×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097320
1136320
2158320
3169320
4175320
5176320
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #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)))) y x))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 199999999999999991963354801579539865224719863466643166570237755888153096932896189915818952609920031781613357714761512012614125205154634640267751072327400569037934396194907236465391951327140093092900757315484959343965444154349978513521462377866702261531547814080948494523170816 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x (/.f64 #s(literal -1 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 1 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 x (/.f64 y (*.f64 (exp.f64 z) #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 1 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) 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 1000000 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 1000000 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #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 1000000 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 1000000 binary64)) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -100000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 4 binary64)) x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal -4054061198538765/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656 binary64)) x (if (<=.f64 x #s(literal 2961908203178171/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) (if (<=.f64 x #s(literal 1936908127739503/9223372036854775808 binary64)) (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -138206631768367/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) x (if (<=.f64 x #s(literal 6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) x))
(if (<=.f64 x #s(literal -1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) x (if (<=.f64 x #s(literal 4873833446696745/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
x
Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #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)))) y x))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 199999999999999991963354801579539865224719863466643166570237755888153096932896189915818952609920031781613357714761512012614125205154634640267751072327400569037934396194907236465391951327140093092900757315484959343965444154349978513521462377866702261531547814080948494523170816 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 199999999999999991963354801579539865224719863466643166570237755888153096932896189915818952609920031781613357714761512012614125205154634640267751072327400569037934396194907236465391951327140093092900757315484959343965444154349978513521462377866702261531547814080948494523170816 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (+.f64 x (/.f64 #s(literal -1 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 1 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 x (/.f64 y (*.f64 (exp.f64 z) #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 1 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (+.f64 x (/.f64 y (*.f64 (exp.f64 z) #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 1 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) 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 1 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 y #s(literal 5000000000000000/5641895835477563 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 1000000 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 1000000 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)) (if (<=.f64 (exp.f64 z) #s(literal 1000000 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #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 1000000 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 1000000 binary64)) (+.f64 x (/.f64 y (-.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)) (if (<=.f64 (exp.f64 z) #s(literal 1000000 binary64)) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -100000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 4 binary64)) x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal -100000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 4 binary64)) x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal -4054061198538765/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656 binary64)) x (if (<=.f64 x #s(literal 2961908203178171/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) (if (<=.f64 x #s(literal 1936908127739503/9223372036854775808 binary64)) (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -138206631768367/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) x (if (<=.f64 x #s(literal 6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) x))
(if (<=.f64 x #s(literal -1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) x (if (<=.f64 x #s(literal 4873833446696745/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(if (<=.f64 x #s(literal -1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) x (if (<=.f64 x #s(literal 4873833446696745/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
x

soundness1.2s (12.3%)

Memory
42.5MiB live, 632.4MiB allocated
Rules
9 358×accelerator-lowering-fma.f32
9 358×accelerator-lowering-fma.f64
8 782×accelerator-lowering-fma.f32
8 782×accelerator-lowering-fma.f64
7 954×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
15136
244536
3742836
0810235
07625760
123435623
276125601
082225106
03161999
19041979
226441891
083361801
03292425
19202363
222742227
366282198
081462100
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 622 to 306 computations (50.8% saved)

preprocess255.0ms (2.5%)

Memory
7.9MiB live, 202.1MiB allocated
Compiler

Compiled 714 to 232 computations (67.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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