Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, G

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze271.0ms (3%)

Memory
24.8MiB live, 344.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.7%6.2%87.4%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
20.7%18.7%71.8%0.1%0%9.4%0%9
34.5%29.6%56.2%0.1%0%14%0%10
34.5%29.6%56.2%0.1%0%14%0%11
50.5%42.1%41.3%0.1%0%16.4%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.9s (31.3%)

Memory
-8.3MiB live, 3 451.0MiB allocated
Samples
1.1s2 161×1valid
1.0s6 095×0valid
142.0ms946×0invalid
3.0ms23×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 824.0ms (49.5% of total)
ival-add: 270.0ms (16.2% of total)
ival-div: 243.0ms (14.6% of total)
ival-exp: 165.0ms (9.9% of total)
ival-mult: 103.0ms (6.2% of total)
adjust: 48.0ms (2.9% of total)
ival-true: 8.0ms (0.5% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain243.0ms (2.7%)

Memory
-24.0MiB live, 312.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14941(-2.624165094565534e-214 1.3591667514318765e+273 -1.8873856658321283e-55)1(-5.5233965691855103e-269 4.659140777828813e-178 1.2691417450476974e+144)(log.f64 (/.f64 y (+.f64 z y)))
460-5(-2.6355594208280648e-180 3.2350697286440725e+154 4.0059857064385634e-157)(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
10-1(8.306202557150091e+220 0.2814006897010451 6.232292732881077e+122)(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
00-0-(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
00-0-z
00-0-(/.f64 y (+.f64 z y))
00-0-(+.f64 z y)
00-0-(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 y (+.f64 z y)))sensitivity1680
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue170
(log.f64 (/.f64 y (+.f64 z y)))underflow41
(/.f64 y (+.f64 z y))underflow21
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u60
Confusion
Predicted +Predicted -
+383
-14768
Precision
0.20540540540540542
Recall
0.926829268292683
Confusion?
Predicted +Predicted MaybePredicted -
+3803
-147167
Precision?
0.20430107526881722
Recall?
0.926829268292683
Freqs
test
numberfreq
071
1179
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms268×1valid
27.0ms58×2valid
16.0ms186×0valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-log: 54.0ms (55.2% of total)
ival-div: 13.0ms (13.3% of total)
ival-add: 9.0ms (9.2% of total)
adjust: 8.0ms (8.2% of total)
ival-exp: 8.0ms (8.2% of total)
ival-mult: 6.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess152.0ms (1.7%)

Memory
22.1MiB live, 167.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051132
1109112
2234110
3642110
42078110
01013
01713
12511
24211
38911
427511
5210611
6544411
0928311
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify138.0ms (1.5%)

Memory
-10.2MiB live, 135.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
cost-diff0
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
cost-diff0
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
cost-diff2
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
01758
12552
24252
38952
427552
5210652
6544452
0928352
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z
Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z

localize78.0ms (0.8%)

Memory
30.8MiB live, 148.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy0.017157489932729534
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
accuracy10.006853167767831
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy34.37450212935215
(log.f64 (/.f64 y (+.f64 z y)))
Samples
47.0ms134×1valid
13.0ms29×2valid
8.0ms93×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-log: 30.0ms (53.1% of total)
adjust: 8.0ms (14.2% of total)
ival-div: 7.0ms (12.4% of total)
ival-add: 5.0ms (8.8% of total)
ival-exp: 4.0ms (7.1% of total)
ival-mult: 3.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.7%)

Memory
5.7MiB live, 93.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(+ (log y) (log (/ 1 z)))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(* z (- (* 1/2 (/ z y)) 1))
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
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(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
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(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (log (* -1 y)) (log (/ -1 z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
x
@0
((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
14.0ms
z
@0
((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
6.0ms
y
@inf
((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
4.0ms
y
@-inf
((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
4.0ms
z
@inf
((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))

simplify179.0ms (2%)

Memory
8.9MiB live, 290.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05203630
118153110
086242958
Stop Event
iter limit
node limit
Counts
108 → 107
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
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(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
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(* y (+ (log y) (log (/ 1 z))))
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(+ (log y) (log (/ 1 z)))
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(exp (* -1 z))
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(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
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(+ x (/ (exp (* -1 z)) y))
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(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
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(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))
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(* -1 (/ z y))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
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Outputs
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
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(/ (exp (* -1 z)) y)
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(* -1 z)
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(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
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(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64))) z)) z) (log.f64 (neg.f64 y))))

rewrite250.0ms (2.7%)

Memory
-20.6MiB live, 369.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
01747
16041
238041
3442541
0823041
Stop Event
iter limit
node limit
iter limit
Counts
5 → 228
Calls
Call 1
Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
Outputs
(*.f64 (pow.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 z y) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
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(-.f64 (log.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (log.f64 (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (log.f64 (*.f64 y (fma.f64 (-.f64 y z) y (*.f64 z z)))) (log.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(-.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y))))))
(-.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64))))) (log.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))))
(-.f64 (log.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
(-.f64 (log.f64 (exp.f64 (log.f64 (neg.f64 y)))) (log.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 z y))))))
(-.f64 (log.f64 (exp.f64 (log.f64 y))) (log.f64 (exp.f64 (log.f64 (+.f64 z y)))))
(-.f64 (log.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y))) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 (+.f64 z y))))
(-.f64 (log.f64 y) (log.f64 (+.f64 z y)))
(+.f64 (log.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z)))) (log.f64 (-.f64 y z)))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (neg.f64 (-.f64 z y))))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(+.f64 (log.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)))) (log.f64 (neg.f64 (-.f64 z y))))
(+.f64 (log.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(+.f64 (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (-.f64 z y)))
(+.f64 (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(+.f64 (log.f64 (-.f64 z y)) (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))))
(+.f64 (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(log.f64 (/.f64 y (+.f64 z y)))

eval46.0ms (0.5%)

Memory
13.7MiB live, 112.8MiB allocated
Compiler

Compiled 12 420 to 1 764 computations (85.8% saved)

prune12.0ms (0.1%)

Memory
-5.9MiB live, 40.9MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New32411335
Fresh000
Picked101
Done000
Total32511336
Accuracy
100.0%
Counts
336 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))
86.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
58.0%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
65.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
69.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
87.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
55.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
19.3%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y))
38.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
41.1%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
80.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64))))
Compiler

Compiled 572 to 376 computations (34.3% saved)

simplify132.0ms (1.4%)

Memory
20.3MiB live, 253.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (+.f64 z y))
cost-diff0
(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff0
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff1
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)
cost-diff2
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
cost-diff0
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046476
075476
1109438
2192438
3411438
4940438
53389438
66140438
08376432
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 z)
z
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y))) z) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y))) z)
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 z)
z
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z

localize260.0ms (2.8%)

Memory
-4.7MiB live, 328.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy0.0078125
(/.f64 y (+.f64 z y))
accuracy13.453750290616199
(pow.f64 (/.f64 y (+.f64 z y)) y)
accuracy30.71784281315281
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
accuracy0.5132184008376612
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
accuracy1.4856624577317075
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)
accuracy4.880625386492969
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
accuracy23.31140367420179
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy0.01171875
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
accuracy0.02734375
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
accuracy0.0625
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
accuracy24.38336829968823
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy37.69363787701645
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy0.00390625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy0.01171875
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy14.19111845977706
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
Samples
184.0ms113×1valid
42.0ms143×0valid
Compiler

Compiled 344 to 38 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-pow: 51.0ms (30.4% of total)
adjust: 28.0ms (16.7% of total)
ival-div: 24.0ms (14.3% of total)
ival-log: 18.0ms (10.7% of total)
ival-mult: 15.0ms (9% of total)
ival-add: 13.0ms (7.8% of total)
const: 8.0ms (4.8% of total)
ival-sub: 6.0ms (3.6% of total)
ival-exp: 4.0ms (2.4% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory
-6.3MiB live, 90.6MiB allocated
Counts
21 → 129
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(/ 1/3 (pow y 2))
(/ (+ 1/3 (* 1/2 y)) (pow y 2))
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 2))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(* -1/3 (/ z (pow y 2)))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(/ -1/3 (pow y 2))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
1/6
(+ 1/6 (* 1/2 (/ 1 y)))
(+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* -1/6 z)))
(+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)))
(+ 1 (* -1 (/ z y)))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
(* 1/2 z)
(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ 1/2 (* -1/6 z))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z))))
(+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z)))
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(+ 1 (* -1 z))
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(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
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(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))
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(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
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(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
z
@0
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/ -1/3 (* y y)))
7.0ms
x
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/ -1/3 (* y y)))
4.0ms
z
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/ -1/3 (* y y)))
3.0ms
y
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/ -1/3 (* y y)))
3.0ms
z
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/ -1/3 (* y y)))

simplify188.0ms (2.1%)

Memory
-14.7MiB live, 265.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05573543
119723156
084832999
Stop Event
iter limit
node limit
Counts
129 → 128
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(/ 1/3 (pow y 2))
(/ (+ 1/3 (* 1/2 y)) (pow y 2))
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 2))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(* -1/3 (/ z (pow y 2)))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(/ -1/3 (pow y 2))
(+ x (/ (exp (* -1 z)) y))
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(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(exp (* -1 z))
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(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
1/6
(+ 1/6 (* 1/2 (/ 1 y)))
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(* z (+ 1/2 (* -1/6 z)))
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(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)))
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(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
(* 1/2 z)
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(+ 1/2 (* -1/6 z))
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(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
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Outputs
(/ (pow (/ y (+ y z)) y) y)
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(+ x (/ (pow (/ y (+ y z)) y) y))
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(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) y (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (neg.f64 z))) z))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(/.f64 (-.f64 (*.f64 y (/.f64 y z)) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 y y)) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z)) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z))
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))

rewrite296.0ms (3.2%)

Memory
-9.2MiB live, 334.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046364
075342
1295330
22228330
08882330
Stop Event
iter limit
node limit
iter limit
Counts
21 → 318
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) (*.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))
(neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (neg.f64 y)))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))) (*.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x)) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x))))
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(/.f64 (/.f64 #s(literal -1/3 binary64) (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) y)
(/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 y) y))
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eval76.0ms (0.8%)

Memory
41.6MiB live, 182.5MiB allocated
Compiler

Compiled 24 237 to 2 888 computations (88.1% saved)

prune35.0ms (0.4%)

Memory
-3.6MiB live, 41.2MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New4348442
Fresh246
Picked325
Done000
Total43914453
Accuracy
100.0%
Counts
453 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
72.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
48.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
70.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
53.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) y) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
69.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
64.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
87.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
10.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
19.3%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y))
27.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
41.1%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
38.5%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y) (/.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y)))
80.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64))))
Compiler

Compiled 878 to 589 computations (32.9% saved)

simplify166.0ms (1.8%)

Memory
-16.5MiB live, 130.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff2
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
cost-diff0
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
cost-diff0
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
cost-diff0
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
cost-diff0
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059824
091824
1148762
2298762
3966753
43891753
08578730
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
x
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
(neg.f64 z)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
y
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
Outputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)
x
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
(neg.f64 z)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y)) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y))
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)
(/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
(fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
y
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)

localize240.0ms (2.6%)

Memory
-7.1MiB live, 279.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy30.78736957008352
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
accuracy51.82035407789717
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
accuracy1.4817562077317075
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z)
accuracy7.554012308098325
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)
accuracy13.28376170636194
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
accuracy23.063712271836046
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy0.5088476477119428
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
accuracy1.4817562077317075
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
accuracy23.063712271836046
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy27.84665126657221
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.00390625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
accuracy0.01171875
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
accuracy23.843344357467828
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy0.00390625
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy0.01171875
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy0.017157489932729534
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy20.9262203528615
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
Samples
119.0ms134×1valid
41.0ms92×0valid
30.0ms29×2valid
1.0ms5exit
Compiler

Compiled 473 to 45 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-div: 33.0ms (22.4% of total)
ival-log: 25.0ms (16.9% of total)
ival-mult: 21.0ms (14.2% of total)
ival-add: 20.0ms (13.6% of total)
adjust: 17.0ms (11.5% of total)
const: 12.0ms (8.1% of total)
ival-sub: 7.0ms (4.7% of total)
ival-pow: 6.0ms (4.1% of total)
ival-exp: 4.0ms (2.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
-9.1MiB live, 35.3MiB allocated
Counts
23 → 152
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z)
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(* -1/3 (/ (pow z 3) (pow y 2)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
(* -1/3 (/ z y))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y)
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) y)
(pow y 2)
(* -1/3 (/ z (pow y 2)))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
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Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
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4.0ms
z
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z))
4.0ms
y
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z))
3.0ms
y
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z))
3.0ms
z
@0
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z))

simplify194.0ms (2.1%)

Memory
54.6MiB live, 189.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06584319
123813871
086903649
Stop Event
iter limit
node limit
Counts
152 → 151
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
1
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(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) y)
(pow y 2)
(* -1/3 (/ z (pow y 2)))
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(/ (exp (* -1 z)) y)
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(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))
(* z (- (/ 1 z) 1))
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2))))
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) y)
(* z (- (+ (* 1/2 (/ y z)) (+ (- (* -1/6 y) 1/2) (* 1/2 (/ 1 z)))) (* 1/3 (/ 1 y))))
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(/ (* z (- (* y (- (* -1/6 y) 1/2)) 1/3)) (pow y 2))
(* z (- (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ (- (* -1/6 y) 1/2) y))) (* 1/3 (/ 1 (pow y 2)))))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
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(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y))))))
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y)))))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
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(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
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1
#s(literal 1 binary64)
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
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(* y (+ (log y) (log (/ 1 z))))
(*.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y)
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(*.f64 (-.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (/.f64 y z)) y)
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(* -1/3 (/ (pow z 3) (pow y 2)))
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(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
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(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
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(* -1/3 (/ z y))
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(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/3 binary64) z)) y)
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
(pow y 2)
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(* -1/3 (/ z (pow y 2)))
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(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
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(* -1/3 (/ (pow z 2) (pow y 2)))
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(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (*.f64 y y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
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(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
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(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
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(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
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(exp (* -1 z))
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(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
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(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
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(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 y y) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 z))) z))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
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(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
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(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
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(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) y))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 y)) z)) (+ (+ 1/2 (* 1/6 y)) (* 1/3 (/ 1 y))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)))) (neg.f64 z))
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (neg.f64 z))
(* -1 (/ (* z (+ 1/3 (* y (+ 1/2 (* 1/6 y))))) (pow y 2)))
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(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (/ (+ 1/2 (* 1/6 y)) y)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (neg.f64 z))

rewrite290.0ms (3.2%)

Memory
-8.0MiB live, 370.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059599
091599
1397545
23185545
010017545
Stop Event
iter limit
node limit
iter limit
Counts
23 → 195
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
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(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z)
Outputs
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
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(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 y y)))
(+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y) y) (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) z) y) y))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) (*.f64 y y)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y)))
(*.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z))
(*.f64 z (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) #s(literal 1 binary64)))
(*.f64 z #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)))

eval132.0ms (1.4%)

Memory
-46.1MiB live, 125.5MiB allocated
Compiler

Compiled 20 161 to 2 045 computations (89.9% saved)

prune17.0ms (0.2%)

Memory
-2.2MiB live, 43.7MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New3376343
Fresh257
Picked235
Done022
Total34116357
Accuracy
100.0%
Counts
357 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
72.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
30.0%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
48.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
34.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) z) (*.f64 (neg.f64 y) y)))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
70.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
40.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (*.f64 y y))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
69.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
64.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
87.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
80.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
19.3%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y))
27.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
41.1%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
38.5%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y) (/.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y)))
2.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Compiler

Compiled 1 129 to 741 computations (34.4% saved)

simplify104.0ms (1.1%)

Memory
-7.0MiB live, 182.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff2
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z)))
cost-diff4
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff1
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))
cost-diff0
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x)
cost-diff0
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y)
cost-diff0
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951399
01451399
12511325
26391289
328321289
082851256
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)))
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
(*.f64 z z)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y))
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))
(neg.f64 z)
z
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y))
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
y
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y (*.f64 #s(literal -1/3 binary64) z))
(*.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
(*.f64 y y)
#s(literal 1 binary64)
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (/.f64 x (*.f64 y x)) x))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (/.f64 x (*.f64 y x)) x)
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)))
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
(*.f64 z z)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y)) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y))
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y))
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)) y)
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)))
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) z)
(neg.f64 z)
z
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y))
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y)))
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y))
(fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
y
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y (*.f64 #s(literal -1/3 binary64) z))
(*.f64 (*.f64 #s(literal -1/3 binary64) z) y)
(*.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
(*.f64 y y)
#s(literal 1 binary64)

localize387.0ms (4.2%)

Memory
22.5MiB live, 502.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.4817562077317075
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z)
accuracy7.554012308098325
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)
accuracy23.063712271836046
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy33.26973103653302
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y))
accuracy7.554012308098325
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)
accuracy18.08695558889317
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)
accuracy23.063712271836046
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy32.55978992574475
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)))
accuracy0.01171875
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
accuracy3.792643868859802
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)
accuracy5.292948108302059
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
accuracy24.147482384570523
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)))
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy28.930640968221233
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
accuracy51.82035407789717
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
accuracy0.0078125
(/.f64 y (+.f64 z y))
accuracy0.1484375
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y)
accuracy5.2278127780516845
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
accuracy13.453750290616199
(pow.f64 (/.f64 y (+.f64 z y)) y)
Samples
218.0ms113×1valid
86.0ms142×0valid
11.0ms5exit
Compiler

Compiled 685 to 76 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-pow: 86.0ms (31.8% of total)
ival-mult: 61.0ms (22.6% of total)
ival-div: 36.0ms (13.3% of total)
ival-add: 25.0ms (9.3% of total)
ival-log: 18.0ms (6.7% of total)
adjust: 17.0ms (6.3% of total)
const: 15.0ms (5.6% of total)
ival-sub: 7.0ms (2.6% of total)
ival-exp: 4.0ms (1.5% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series147.0ms (1.6%)

Memory
29.3MiB live, 116.5MiB allocated
Counts
29 → 227
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)))
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)
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Calls

9 calls:

TimeVariablePointExpression
49.0ms
x
@inf
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30.0ms
x
@0
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19.0ms
y
@-inf
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10.0ms
x
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ (* (/ (/ (pow (/ y (+ z y)) y) x) y) x) x) (/ (/ (pow (/ y (+ z y)) y) x) y) (/ (pow (/ y (+ z y)) y) x) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (* (neg z) (/ (+ (* (+ (* 1/6 y) 1/2) y) 1/3) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (* y y)) (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) y) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (+ (* (+ (* 1/6 y) 1/2) y) 1/3) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (exp (* y (log (/ y (+ z y))))) (/ (/ (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (* y y)) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z))
7.0ms
z
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ (* (/ (/ (pow (/ y (+ z y)) y) x) y) x) x) (/ (/ (pow (/ y (+ z y)) y) x) y) (/ (pow (/ y (+ z y)) y) x) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (* (neg z) (/ (+ (* (+ (* 1/6 y) 1/2) y) 1/3) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (* y y)) (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) y) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (+ (* (+ (* 1/6 y) 1/2) y) 1/3) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (exp (* y (log (/ y (+ z y))))) (/ (/ (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (* y y)) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z))

simplify255.0ms (2.8%)

Memory
-5.6MiB live, 179.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09076540
133076504
081746115
Stop Event
iter limit
node limit
Counts
227 → 225
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ 1 (* x y))
(/ (+ (* y (+ (/ (log y) x) (/ (log (/ 1 z)) x))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (+ (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) (* x z))) (+ (* 1/6 (/ (pow (+ (log y) (log (/ 1 z))) 3) x)) (* 1/2 (/ 1 (* x (pow z 2)))))))) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ 1 x)
(+ (* y (+ (/ (log y) x) (/ (log (/ 1 z)) x))) (/ 1 x))
(+ (* y (+ (* y (- (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x))
(+ (* y (+ (* y (- (+ (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) (* x z))) (+ (* 1/6 (/ (pow (+ (log y) (log (/ 1 z))) 3) x)) (* 1/2 (/ 1 (* x (pow z 2)))))))) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x))
(/ -1 y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
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(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(* -1/3 (/ z y))
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(/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* -1/6 (* y z))))) y)
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) y)
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) y)
(* -1/3 (* y z))
(* y (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))))
(* y (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(* 1/2 (pow z 2))
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(/ 1/3 y)
(/ (+ 1/3 (* 1/2 y)) y)
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) y)
(* -1/3 (/ z (pow y 2)))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(* -1/3 (/ (pow z 2) (pow y 2)))
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(/ (exp (* -1 z)) (* x y))
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(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (* x (pow y 3))) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (* x (pow y 2)))))) y)
(/ (exp (* -1 z)) x)
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(/ (exp (* -1 z)) y)
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(* y (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))))
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(* z (+ 1/2 (* -1/6 z)))
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(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)))
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(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y)))) y))
(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -1 (/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) x)) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) (* x y))) y))) y))
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(/.f64 (*.f64 (neg.f64 z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (/ 1/3 (pow y 2)) (/ (+ 1/2 (* 1/6 y)) y)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))

rewrite271.0ms (3%)

Memory
-13.8MiB live, 223.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095915
0145893
1601837
24726837
08239821
Stop Event
iter limit
node limit
iter limit
Counts
29 → 355
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)))
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y)
#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y)
(/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z)
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (/.f64 x y) x)
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) x)))
(-.f64 x (*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x) x)
(+.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x))
(*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (*.f64 y x)))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (neg.f64 (*.f64 y x)))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))
(neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (neg.f64 x)) y))
(neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) (*.f64 y x)) (/.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) (*.f64 y x)))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (neg.f64 x))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x)
(neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (neg.f64 x)))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) x) (/.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) x))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (pow.f64 y #s(literal -1 binary64))))
#s(approx (pow (* y y) -1/2) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(pow.f64 (fabs.f64 y) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1 binary64))))
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(/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) y) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y)))) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)))) (*.f64 (*.f64 (neg.f64 y) y) y))
(/.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)) (neg.f64 y))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)
(/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z))) (pow.f64 y #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)) y))
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal -1/3 binary64)) z) (pow.f64 y #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) #s(literal 1 binary64)) y) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) y) y) (/.f64 z y)) y))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) y) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y) (pow.f64 y #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) y) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z))
(*.f64 z (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) #s(literal 1 binary64)))
(*.f64 z #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)))

eval132.0ms (1.4%)

Memory
21.1MiB live, 170.1MiB allocated
Compiler

Compiled 38 184 to 4 391 computations (88.5% saved)

prune54.0ms (0.6%)

Memory
-37.1MiB live, 63.6MiB allocated
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New5727579
Fresh156
Picked325
Done055
Total57619595
Accuracy
100.0%
Counts
595 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
72.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
30.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
48.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
71.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) #s(approx (/ (+ (* (+ (* 1/6 y) 1/2) y) 1/3) y) (*.f64 #s(literal 1/6 binary64) y)))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
34.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) z) (*.f64 (neg.f64 y) y)))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
70.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
69.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
33.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y)))) y))
72.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y))
42.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z z))) y))) y))
87.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
66.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 #s(approx (/ (pow (/ y (+ z y)) y) x) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) z) (/.f64 #s(literal 1 binary64) x)) z (/.f64 #s(literal 1 binary64) x))) y) x x))
79.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x x))
19.3%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y))
27.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
41.1%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
38.5%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y) (/.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y)))
2.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Compiler

Compiled 2 201 to 848 computations (61.5% saved)

regimes54.0ms (0.6%)

Memory
9.8MiB live, 97.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) #s(approx (/ (+ (* (+ (* 1/6 y) 1/2) y) 1/3) y) (*.f64 #s(literal 1/6 binary64) y)))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) z) (*.f64 (neg.f64 y) y)))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 #s(approx (/ (pow (/ y (+ z y)) y) x) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) z) (/.f64 #s(literal 1 binary64) x)) z (/.f64 #s(literal 1 binary64) x))) y) x x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (*.f64 y y))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) y) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y) (/.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))
Outputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
Calls

5 calls:

12.0ms
z
11.0ms
x
10.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
9.0ms
y
9.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
88.9%2x
99.8%3y
91.0%3z
91.8%3(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
95.2%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes24.0ms (0.3%)

Memory
4.9MiB live, 51.3MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) #s(approx (/ (+ (* (+ (* 1/6 y) 1/2) y) 1/3) y) (*.f64 #s(literal 1/6 binary64) y)))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) z) (*.f64 (neg.f64 y) y)))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (neg.f64 z) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/3 binary64)) y))) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) y) (* y (* -1/3 z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 #s(approx (/ (pow (/ y (+ z y)) y) x) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) z) (/.f64 #s(literal 1 binary64) x)) z (/.f64 #s(literal 1 binary64) x))) y) x x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) (*.f64 y y))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) y) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y) y (*.f64 y (*.f64 #s(literal -1/3 binary64) z))) (*.f64 y y)) y)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

3 calls:

8.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
7.0ms
y
7.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
87.2%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
87.2%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
89.9%2y
Compiler

Compiled 25 to 22 computations (12% saved)

regimes4.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
89.9%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

2 calls:

3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
87.2%1z
89.2%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
89.2%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory
-25.7MiB live, 29.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x x))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

5 calls:

5.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
87.2%1z
87.2%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
87.2%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
87.2%1x
87.2%1y
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes9.0ms (0.1%)

Memory
-25.2MiB live, 21.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Calls

5 calls:

2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
41.1%1x
41.1%1y
41.1%1z
41.1%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
41.1%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes6.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Calls

5 calls:

1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
z
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
2.2%1x
2.2%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.2%1z
2.2%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.2%1y
Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch36.0ms (0.4%)

Memory
28.1MiB live, 74.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
10.0ms
9.95492680636392e-26
9.450073984025599e-21
22.0ms
-34542559.59637824
-14.92507856464893
Samples
19.0ms224×0valid
3.0ms44×0invalid
Compiler

Compiled 450 to 380 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 4.0ms (25.4% of total)
ival-log: 4.0ms (25.4% of total)
ival-exp: 4.0ms (25.4% of total)
ival-add: 3.0ms (19.1% of total)
ival-mult: 2.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-2.2MiB live, 43.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-7.84571609420935e+136
-4.2167465157359713e+136
Samples
11.0ms33×1valid
2.0ms31×0valid
1.0ms0invalid
Compiler

Compiled 300 to 208 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 5.0ms (42.3% of total)
ival-exp: 3.0ms (25.4% of total)
ival-div: 2.0ms (16.9% of total)
ival-add: 1.0ms (8.5% of total)
adjust: 1.0ms (8.5% of total)
ival-mult: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-34542559.59637824
-14.92507856464893
Compiler

Compiled 565 to 439 computations (22.3% saved)

bsearch41.0ms (0.4%)

Memory
-8.1MiB live, 88.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
-1.6216320822034248e+169
-5.978056012333008e+164
Samples
27.0ms73×1valid
5.0ms55×0valid
1.0ms13×0invalid
Compiler

Compiled 560 to 384 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 11.0ms (49.2% of total)
ival-div: 3.0ms (13.4% of total)
ival-exp: 3.0ms (13.4% of total)
ival-add: 2.0ms (9% of total)
adjust: 1.0ms (4.5% of total)
ival-mult: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-34542559.59637824
-14.92507856464893
Compiler

Compiled 421 to 331 computations (21.4% saved)

simplify81.0ms (0.9%)

Memory
-5.2MiB live, 88.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
099356
1155329
2280329
3566325
41234325
53960325
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -15 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 y #s(literal -56000000000000004318087382358908106492955108839029654305207112986544404703765110029485790811320281954760711416854374570871360569353437184 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z z))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -15 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -600000000000000001070009969152751019087381855361808356264209166620777017086739721372281224795705776599261382217325869413862845876189771740722519099515380684436799488 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -15 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Outputs
(if (<=.f64 y #s(literal -15 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (or (<=.f64 y #s(literal -15 binary64)) (not (<=.f64 y #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)))) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -56000000000000004318087382358908106492955108839029654305207112986544404703765110029485790811320281954760711416854374570871360569353437184 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z z))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -15 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -600000000000000001070009969152751019087381855361808356264209166620777017086739721372281224795705776599261382217325869413862845876189771740722519099515380684436799488 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -15 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

soundness1.0s (11.3%)

Memory
7.3MiB live, 805.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06584319
123813871
086903649
046364
075342
1295330
22228330
08882330
09076540
133076504
081746115
05203630
118153110
086242958
05573543
119723156
084832999
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 464 to 228 computations (50.9% saved)

preprocess61.0ms (0.7%)

Memory
4.3MiB live, 146.0MiB allocated
Compiler

Compiled 796 to 264 computations (66.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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