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

Time bar (total: 9.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze387.0ms (3.9%)

Memory
-3.3MiB live, 370.0MiB 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)

sample2.2s (22.5%)

Memory
-6.0MiB live, 2 674.4MiB allocated
Samples
1.2s2 280×1valid
601.0ms5 976×0valid
73.0ms985×0invalid
2.0ms16×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 760.0ms (53.4% of total)
ival-div: 241.0ms (16.9% of total)
ival-add: 146.0ms (10.3% of total)
ival-exp: 133.0ms (9.3% of total)
ival-mult: 77.0ms (5.4% of total)
adjust: 55.0ms (3.9% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain217.0ms (2.2%)

Memory
44.0MiB live, 274.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16241(2.98035020307384e-300 -4.5803008015271327e+170 1.5230760859625218e-266)3(4.659095470571214e-39 -5.1392498126612585e-236 -1.7501160752052175e+84)(log.f64 (/.f64 y (+.f64 z y)))
460-5(-1.8178831972616525e-16 9.777946325475641e+149 4.793444206812259e-164)(*.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-(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.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)))sensitivity1811
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue180
(log.f64 (/.f64 y (+.f64 z y)))underflow41
(/.f64 y (+.f64 z y))underflow19
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u100
Confusion
Predicted +Predicted -
+371
-16256
Precision
0.18592964824120603
Recall
0.9736842105263158
Confusion?
Predicted +Predicted MaybePredicted -
+3701
-162155
Precision?
0.185
Recall?
0.9736842105263158
Freqs
test
numberfreq
057
1189
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms280×1valid
36.0ms76×2valid
15.0ms156×0valid
Compiler

Compiled 136 to 34 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-log: 51.0ms (50.2% of total)
ival-div: 15.0ms (14.8% of total)
ival-add: 11.0ms (10.8% of total)
ival-exp: 9.0ms (8.9% of total)
adjust: 8.0ms (7.9% of total)
ival-mult: 6.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess250.0ms (2.5%)

Memory
-21.4MiB live, 54.1MiB allocated
Algorithm
egg-herbie
Rules
1 782×div-sub
850×sub-neg
614×times-frac
612×distribute-rgt-in
612×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051130
1106104
2224102
3480102
41083102
52262100
63232100
74472100
85310100
96024100
106426100
116651100
126930100
137226100
147480100
157805100
167903100
177905100
187905100
197905100
207973100
01013
01713
12211
22511
32511
02511
Stop Event
iter limit
saturated
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 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.4%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify4.0ms (0%)

Memory
4.9MiB live, 4.9MiB 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-diff6656
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
Rules
lower-+.f32
lower-exp.f32
lift-+.f64
lift-/.f64
exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
01758
12252
22552
32552
02552
Stop Event
iter limit
saturated
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
5.2MiB live, 116.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy0.01171875
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy9.878592070323752
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy36.978755197407246
(log.f64 (/.f64 y (+.f64 z y)))
Samples
42.0ms140×1valid
20.0ms38×2valid
7.0ms78×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-log: 25.0ms (45.4% of total)
ival-div: 7.0ms (12.7% of total)
ival-exp: 7.0ms (12.7% of total)
ival-add: 7.0ms (12.7% of total)
ival-mult: 5.0ms (9.1% of total)
adjust: 4.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-11.3MiB live, 52.5MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())
#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ 1 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ 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))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
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#s(alt (+ (* 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)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
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#s(alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) (taylor 0 z) (#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
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#s(alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (exp (* y (+ (log y) (log (/ 1 z))))) (taylor inf z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
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#s(alt (+ (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)))) (taylor inf z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
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#s(alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (taylor inf z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
29.0ms
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))))
5.0ms
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))))
3.0ms
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))))
3.0ms
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))))
3.0ms
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))))

simplify206.0ms (2.1%)

Memory
-9.3MiB live, 176.3MiB allocated
Algorithm
egg-herbie
Rules
10 548×lower-fma.f64
10 548×lower-fma.f32
4 850×lower-*.f64
4 850×lower-*.f32
4 000×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05203809
115353201
253192873
081242727
Stop Event
iter limit
node limit
Counts
132 → 128
Calls
Call 1
Inputs
1
(+ 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 y)
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1
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(/ (exp (* -1 z)) y)
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x
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(* -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))
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(/ (pow (/ y (+ y z)) y) y)
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x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
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x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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Outputs
1
#s(literal 1 binary64)
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(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
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(fma.f64 (fma.f64 (fma.f64 (+.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) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+ x (/ 1 y))
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(-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 z y))
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(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) z) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))))) y) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))))) y)) y))
x
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(-.f64 x (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) #s(literal -1 binary64))) 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)))
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))) y))) y) (exp.f64 (neg.f64 z))) y) x)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 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))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))) y))) y) (exp.f64 (neg.f64 z))) 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))
(/.f64 (-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) z) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))))) y) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))))) y)) y)) y)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) (neg.f64 z))
(+ (* -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)))
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z z) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) #s(literal 1/3 binary64)) y)) (neg.f64 y)) z)
(+ (* -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)))
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) y) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))) (neg.f64 y))) (neg.f64 y)) z)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))
(/.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) (neg.f64 z)) 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))
(/.f64 (-.f64 z (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64)) y)) y)) (neg.f64 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))
(/.f64 (-.f64 z (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) y) #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 z z) z) #s(literal 1/3 binary64))) (neg.f64 y))) y)) (neg.f64 y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x x)
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y))))

rewrite144.0ms (1.5%)

Memory
27.5MiB live, 186.9MiB allocated
Rules
3 390×lower-*.f32
3 388×lower-*.f64
3 144×lower-fma.f64
3 144×lower-fma.f32
2 802×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
01747
16441
245841
3645741
0802841
Stop Event
iter limit
node limit
iter limit
Counts
5 → 264
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 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z y) (+.f64 z y))) y) (pow.f64 (-.f64 z y) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) y) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y))
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) y) (pow.f64 y y))
(*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) y))
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 (+.f64 z y))))))
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 z y)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 z y) y) (neg.f64 y))
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y))))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 (neg.f64 (exp.f64 (*.f64 y (log.f64 y)))) (neg.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 z y))))))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 y)))) (exp.f64 (*.f64 y (log.f64 (+.f64 z y)))))
(/.f64 (*.f64 (exp.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (exp.f64 (*.f64 y (log.f64 (+.f64 z y)))))
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z))))
(/.f64 (exp.f64 (*.f64 y (log.f64 y))) (exp.f64 (*.f64 y (log.f64 (+.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 z y)))) (exp.f64 (*.f64 y (log.f64 y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z y))) y))
(*.f64 (/.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y y) y)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.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)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y))) (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y)))) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 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))) (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))))
(*.f64 (neg.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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)))))
(*.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))
(*.f64 (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)) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (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))))
(*.f64 (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)) (*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 #s(literal 1 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)))))
(*.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 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))))
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
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(-.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 (*.f64 (-.f64 z y) y)) (log.f64 (*.f64 (-.f64 z y) (+.f64 z y))))
(-.f64 (log.f64 (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y)) (log.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 (neg.f64 y) z) y)))
(-.f64 (neg.f64 (log.f64 (+.f64 z y))) (neg.f64 (log.f64 y)))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (log.f64 (/.f64 (+.f64 z y) y)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 z y) y)))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 (-.f64 (neg.f64 y) z)))
(-.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 y (*.f64 (-.f64 (neg.f64 y) z) (-.f64 z y)))) (log.f64 (neg.f64 (-.f64 z y))))
(+.f64 (log.f64 (/.f64 y (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (*.f64 (-.f64 z y) (+.f64 z y)))) (log.f64 (neg.f64 (-.f64 z y))))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 z y) (+.f64 z y))))) (log.f64 (-.f64 z y)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))))) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 z y) y) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 (+.f64 z y) y) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (log.f64 (-.f64 (neg.f64 y) z))))
(+.f64 (log.f64 (exp.f64 (log.f64 y))) (log.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 z y))))))
(+.f64 (log.f64 (/.f64 y (*.f64 (-.f64 z y) (+.f64 z y)))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y)))))
(+.f64 (log.f64 (/.f64 y (*.f64 (-.f64 z y) (+.f64 z y)))) (log.f64 (-.f64 z y)))
(+.f64 (log.f64 (/.f64 y (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) y (*.f64 z z))))))
(+.f64 (log.f64 (/.f64 y (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(+.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 y) z))) (log.f64 (neg.f64 y)))
(+.f64 (neg.f64 (log.f64 (*.f64 (-.f64 z y) (+.f64 z y)))) (log.f64 (*.f64 (-.f64 z y) y)))
(+.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))) (log.f64 (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (-.f64 (neg.f64 y) z))))
(+.f64 (neg.f64 (log.f64 (+.f64 z y))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(+.f64 (neg.f64 (log.f64 (+.f64 z y))) (log.f64 y))
(+.f64 (log.f64 (-.f64 z y)) (log.f64 (/.f64 y (*.f64 (-.f64 z y) (+.f64 z y)))))
(+.f64 (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (log.f64 (/.f64 y (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (+.f64 z y))))
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (-.f64 (neg.f64 y) z))))
(+.f64 (log.f64 y) (neg.f64 (log.f64 (+.f64 z y))))
(+.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 0 binary64))
(log.f64 (/.f64 y (+.f64 z y)))

eval53.0ms (0.5%)

Memory
-23.3MiB live, 94.6MiB allocated
Compiler

Compiled 11 037 to 1 701 computations (84.6% saved)

prune91.0ms (0.9%)

Memory
12.8MiB live, 125.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3839392
Fresh000
Picked101
Done000
Total3849393
Accuracy
100.0%
Counts
393 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(/.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))
85.7%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
61.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.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) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
68.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.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))
70.0%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
88.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
64.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
70.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
40.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 316 to 188 computations (40.5% saved)

simplify202.0ms (2%)

Memory
9.1MiB live, 163.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
cost-diff384
(fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
cost-diff704
(fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
cost-diff704
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z 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))
Rules
8 646×lower-fma.f32
8 642×lower-fma.f64
2 222×lower-*.f64
2 222×lower-*.f32
1 318×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034291
052291
180275
2128275
3211275
4391275
5659275
61353275
72908275
85627265
97123265
107866265
08017261
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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 z y)
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 z y)
z
y
(+.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)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.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
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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 z y)
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64)))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))))
(fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64)))
(fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) y)
(/.f64 z y)
z
y
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(-.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)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.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

localize150.0ms (1.5%)

Memory
3.9MiB live, 248.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy0.00390625
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy0.01171875
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy18.19226961337819
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
accuracy0.00390625
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
accuracy0.02734375
(fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
accuracy2.256694476293782
(fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
accuracy24.55343951113282
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
accuracy0.015625
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
accuracy24.787982348415536
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy38.14825901926879
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy0.00390625
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy0.01171875
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy14.772320525635601
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
Samples
86.0ms141×1valid
26.0ms37×2valid
16.0ms78×0valid
Compiler

Compiled 222 to 26 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-log: 32.0ms (32.4% of total)
ival-add: 25.0ms (25.3% of total)
ival-div: 16.0ms (16.2% of total)
adjust: 9.0ms (9.1% of total)
ival-mult: 7.0ms (7.1% of total)
ival-exp: 5.0ms (5.1% of total)
ival-sub: 2.0ms (2% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
5.6MiB live, 43.9MiB allocated
Counts
16 → 432
Calls
Call 1
Inputs
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #<representation binary64>) () ())
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#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
20.0ms
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) (- (/ 1 y) (/ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 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)))))
2.0ms
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) (- (/ 1 y) (/ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 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)))))
2.0ms
x
@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) (- (/ 1 y) (/ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 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)))))
2.0ms
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) (- (/ 1 y) (/ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 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)))))
2.0ms
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) (- (/ 1 y) (/ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 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)))))

simplify200.0ms (2%)

Memory
18.9MiB live, 204.5MiB allocated
Algorithm
egg-herbie
Rules
11 560×lower-fma.f64
11 560×lower-fma.f32
4 970×lower-*.f64
4 970×lower-*.f32
4 088×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051611744
1154210116
252859051
081108596
Stop Event
iter limit
node limit
Counts
432 → 412
Calls
Call 1
Inputs
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(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
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(/ 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 (* -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))
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(+ 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 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* -1 (/ z y)) (/ 1 y))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
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(+ 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 y)
(+ (* -1 (/ z y)) (/ 1 y))
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(/ -1 y)
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(/ 1 y)
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(/ 1 y)
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(+ x (/ 1 y))
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(+ 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 y)
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1
(+ 1 (* -1 z))
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(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
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(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
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(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
Outputs
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ 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)))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ 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)))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ 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)))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (/.f64 #s(literal 1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ 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)))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ 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)))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))) z (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (* 1/2 (/ z y)) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) z)
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z)
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 y y) y)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z)
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y) x)
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 (neg.f64 y) z) x) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) 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))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 y y) y)) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y) (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) (/.f64 (neg.f64 y) z) x))
(+ 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)))))))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) y) (pow.f64 y y)) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
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(+ (* -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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(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 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))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))) y))) y) (exp.f64 (neg.f64 z))) 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))
(/.f64 (-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal -1/2 binary64)) (*.f64 z z) (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) z) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))))) y) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))))) y)) y)) y)
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z) (exp.f64 (neg.f64 z)))
(+ (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)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) z) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))) y))) 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)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal -1/2 binary64)) (*.f64 z z) (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) z) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))))) y) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z z)) (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))))) y)) y))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) z)
(+ (* -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)))
(neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) z) y) #s(literal 1/6 binary64))) y) z))
(+ (* -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)))
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) y) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) z) #s(literal -1/3 binary64))) (neg.f64 y))) (neg.f64 y)) z)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ 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))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x x)
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x))))

rewrite248.0ms (2.5%)

Memory
-8.0MiB live, 245.1MiB allocated
Rules
4 790×lower-fma.f32
4 786×lower-fma.f64
4 470×lower-/.f32
4 458×lower-/.f64
3 630×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034248
052242
1245226
22256226
08610226
Stop Event
iter limit
node limit
iter limit
Counts
16 → 366
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 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(+.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))
Outputs
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(*.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 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))))
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.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 x x) x (/.f64 (*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) y)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) y))))) (neg.f64 (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 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (/.f64 (exp.f64 (*.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))))) (neg.f64 (neg.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)))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (/.f64 (exp.f64 (*.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) y)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (/.f64 (exp.f64 (*.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) y)))) (neg.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))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y))) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))
(/.f64 (fma.f64 (*.f64 x x) x (/.f64 (exp.f64 (*.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))) (+.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))))
(/.f64 (fma.f64 (*.f64 x x) x (/.f64 (exp.f64 (*.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 x x) x (/.f64 (exp.f64 (*.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)))))
(/.f64 #s(literal 1 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 x x) x (/.f64 (exp.f64 (*.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) y)))))
(fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 1 binary64) x)
(fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) (/.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)) (-.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)
(+.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))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 1 binary64))
(*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(pow.f64 (/.f64 (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (neg.f64 y))
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) y))
(neg.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)))
(exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) #s(literal -1 binary64)))
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))

eval140.0ms (1.4%)

Memory
-10.2MiB live, 213.4MiB allocated
Compiler

Compiled 21 799 to 1 625 computations (92.5% saved)

prune107.0ms (1.1%)

Memory
-16.0MiB live, 237.6MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New81713830
Fresh314
Picked235
Done000
Total82217839
Accuracy
100.0%
Counts
839 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.5%
(/.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) y))) (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)))
49.1%
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
70.0%
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
85.7%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
61.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.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) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
88.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
60.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
63.9%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z))) z (/.f64 #s(literal 1 binary64) y))))
70.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)))
60.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 y (*.f64 z y)) (*.f64 y y))))
70.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
70.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z))))
44.3%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
70.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
40.9%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 (neg.f64 z) (*.f64 z y))) z))))
47.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
40.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 573 to 318 computations (44.5% saved)

simplify244.0ms (2.5%)

Memory
23.5MiB live, 207.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))
cost-diff0
(-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
cost-diff2560
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
cost-diff0
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
cost-diff0
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
cost-diff0
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
#s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
cost-diff0
(/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)))
cost-diff1024
(/.f64 (-.f64 y (*.f64 z y)) y)
Rules
11 872×lower-fma.f32
11 868×lower-fma.f64
4 166×lower-*.f32
4 154×lower-*.f64
1 956×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054598
080598
1142550
2262524
3494498
41314496
54606496
08048484
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y))
(/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)
(/.f64 (-.f64 y (*.f64 z y)) y)
(-.f64 y (*.f64 z y))
y
(*.f64 z y)
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)))
#s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))
(*.f64 z (/.f64 z (*.f64 y y)))
z
(/.f64 z (*.f64 y y))
(*.f64 y y)
y
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))
(*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(-.f64 (/.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)
Outputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 (-.f64 y (*.f64 z y)) y)
(-.f64 #s(literal 1 binary64) z)
(-.f64 y (*.f64 z y))
y
(*.f64 z y)
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)))
#s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #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))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 z (*.f64 y y)) z) #s(literal 1/2 binary64)))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 z (*.f64 y y)) z) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 z (*.f64 y y)) z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 z (*.f64 y y)) z) #s(literal 1/2 binary64))
(*.f64 z (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (*.f64 y y)) z)
z
(/.f64 z (*.f64 y y))
(*.f64 y y)
y
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
(-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
(fma.f64 (neg.f64 x) x (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)))
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))
(*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(-.f64 (/.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)

localize235.0ms (2.4%)

Memory
18.3MiB live, 332.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2531778920822274
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))
accuracy2.8945188649812352
(-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
accuracy10.17075802563559
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
accuracy26.677619908370577
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
accuracy3.170048099472258
(*.f64 z (/.f64 z (*.f64 y y)))
accuracy4.926075091234629
(/.f64 z (*.f64 y y))
accuracy20.943444601516838
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))
accuracy44.263719275993864
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
accuracy0.00390625
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
accuracy1.2351930950706522
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
accuracy6.437170639040897
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
accuracy20.943444601516838
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))
accuracy0
(neg.f64 z)
accuracy0.00390625
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
accuracy20.1828143451133
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)))
accuracy36.81190048293484
#s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))
accuracy0.0078125
(/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)
accuracy0.0078125
(-.f64 y (*.f64 z y))
accuracy3.554693510980337
(/.f64 (-.f64 y (*.f64 z y)) y)
accuracy20.1828143451133
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y))
Samples
85.0ms111×1valid
70.0ms123×0valid
10.0ms15×1exit
5.0ms0exit
Compiler

Compiled 390 to 46 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-div: 46.0ms (32.7% of total)
ival-add: 28.0ms (19.9% of total)
ival-mult: 24.0ms (17% of total)
ival-log: 19.0ms (13.5% of total)
adjust: 11.0ms (7.8% of total)
ival-sub: 6.0ms (4.3% of total)
ival-exp: 5.0ms (3.6% 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)

series197.0ms (2%)

Memory
-45.6MiB live, 139.9MiB allocated
Counts
25 → 660
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 y (*.f64 z y)) y) (patch (/.f64 (-.f64 y (*.f64 z y)) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y) (patch (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)) (patch #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)) (patch (/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (patch (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (patch (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (patch (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #<representation binary64>) () ())
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Calls

9 calls:

TimeVariablePointExpression
50.0ms
y
@0
((/ (- y (* z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ (- y (* z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (/ 1 y) (/ z y)) (/ (neg z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (/ (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (- (/ (exp (* y (log (/ y (+ z y))))) y) x)) (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (- y (* z y)) (neg z) (/ z (* y y)) (* z (/ z (* y y))) (exp (* y (log (/ y (+ z y))))))
37.0ms
z
@inf
((/ (- y (* z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ (- y (* z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (/ 1 y) (/ z y)) (/ (neg z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (/ (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (- (/ (exp (* y (log (/ y (+ z y))))) y) x)) (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (- y (* z y)) (neg z) (/ z (* y y)) (* z (/ z (* y y))) (exp (* y (log (/ y (+ z y))))))
29.0ms
x
@-inf
((/ (- y (* z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ (- y (* z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (/ 1 y) (/ z y)) (/ (neg z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (/ (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (- (/ (exp (* y (log (/ y (+ z y))))) y) x)) (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (- y (* z y)) (neg z) (/ z (* y y)) (* z (/ z (* y y))) (exp (* y (log (/ y (+ z y))))))
10.0ms
z
@-inf
((/ (- y (* z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ (- y (* z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (/ 1 y) (/ z y)) (/ (neg z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (/ (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (- (/ (exp (* y (log (/ y (+ z y))))) y) x)) (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (- y (* z y)) (neg z) (/ z (* y y)) (* z (/ z (* y y))) (exp (* y (log (/ y (+ z y))))))
6.0ms
y
@inf
((/ (- y (* z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ (- y (* z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (/ 1 y) (/ z y)) (/ (neg z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (* (* z (/ z (* y y))) 1/2) (/ (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (- (/ (exp (* y (log (/ y (+ z y))))) y) x)) (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (- y (* z y)) (neg z) (/ z (* y y)) (* z (/ z (* y y))) (exp (* y (log (/ y (+ z y))))))

simplify320.0ms (3.2%)

Memory
46.2MiB live, 433.2MiB allocated
Algorithm
egg-herbie
Rules
9 640×lower-fma.f64
9 640×lower-fma.f32
7 018×lower-+.f64
7 018×lower-+.f32
6 026×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096519403
1305117255
0842016615
Stop Event
iter limit
node limit
Counts
660 → 639
Calls
Call 1
Inputs
1
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Outputs
1
#s(literal 1 binary64)
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(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 x x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 y x)) #s(literal 1 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 x x))

rewrite244.0ms (2.5%)

Memory
-14.3MiB live, 366.0MiB allocated
Rules
5 062×lower-/.f32
5 046×lower-/.f64
3 154×lower-*.f32
3 142×lower-*.f64
2 886×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054528
080482
1384406
23340406
08894394
Stop Event
iter limit
node limit
iter limit
Counts
25 → 710
Calls
Call 1
Inputs
(/.f64 (-.f64 y (*.f64 z y)) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y))
(/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y)))
#s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
(/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))
(*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))
(-.f64 y (*.f64 z y))
(neg.f64 z)
(/.f64 z (*.f64 y y))
(*.f64 z (/.f64 z (*.f64 y y)))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y y)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))))
(*.f64 (*.f64 (-.f64 y (*.f64 z y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y (*.f64 z y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y (*.f64 z y)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64))))
(*.f64 (-.f64 y (*.f64 z y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 y (*.f64 z y)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 y (-.f64 y (*.f64 z y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 y (-.f64 y (*.f64 z y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 y (*.f64 z y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 z y y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 y (*.f64 z y)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.f64 y (*.f64 z y)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 z y y) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z y y) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y y) z))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z y y))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y)))) (neg.f64 (*.f64 y (fma.f64 z y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y)))) (neg.f64 (*.f64 y (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 y (*.f64 z y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 y (*.f64 z y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) #s(literal -1 binary64)) (*.f64 (fma.f64 z y y) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) #s(literal 1 binary64)) (*.f64 (fma.f64 z y y) y))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) y))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y y) z)) (*.f64 y y))
(/.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) (*.f64 y (fma.f64 z y y)))
(/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) (*.f64 y (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 y (*.f64 z y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 y (*.f64 z y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 y (*.f64 z y)))))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 y (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 y (*.f64 z y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 y (*.f64 z y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (-.f64 y (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y (*.f64 z y))))
(/.f64 (-.f64 y (*.f64 z y)) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (-.f64 y (*.f64 z y)) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 y (*.f64 z y)) (neg.f64 y))
(/.f64 (-.f64 y (*.f64 z y)) y)
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (fma.f64 z y y)) (neg.f64 y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (fma.f64 z y y)) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))) (neg.f64 y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))) (neg.f64 y)))
(-.f64 (/.f64 y (neg.f64 y)) (/.f64 (*.f64 z y) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))))))
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(pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y z) (/.f64 y z)) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal -2 binary64))
(pow.f64 (/.f64 (neg.f64 y) z) #s(literal -2 binary64))
(pow.f64 (/.f64 (neg.f64 z) y) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 z z) y)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 z (/.f64 z y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 z y) (neg.f64 z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 z y) z)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 z (neg.f64 z))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 (*.f64 (/.f64 y z) (neg.f64 y))))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/.f64 (*.f64 (neg.f64 z) (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 z (/.f64 z y)) y)
(/.f64 (*.f64 (/.f64 z y) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (*.f64 (/.f64 z y) z) y)
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 y z) (neg.f64 y)))
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 z z) (*.f64 y y))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y (/.f64 y z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y z) (/.f64 y z))))
(/.f64 (/.f64 (neg.f64 z) y) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 (/.f64 y z) y)))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (/.f64 z y) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 y z)))
(/.f64 z (*.f64 (/.f64 y z) y))
(/.f64 z (*.f64 y (/.f64 y z)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 y z)) (/.f64 (/.f64 (neg.f64 z) y) (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) y)) (/.f64 (neg.f64 z) (*.f64 (/.f64 y z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y z))) (/.f64 (neg.f64 z) (*.f64 y (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 2 binary64)))
(pow.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(literal 1 binary64)))

eval492.0ms (5%)

Memory
-66.3MiB live, 386.3MiB allocated
Compiler

Compiled 42 449 to 3 360 computations (92.1% saved)

prune342.0ms (3.5%)

Memory
6.5MiB live, 401.4MiB allocated
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New1 392111 403
Fresh459
Picked235
Done033
Total1 398221 420
Accuracy
100.0%
Counts
1 420 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
27.3%
(/.f64 #s(approx (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
70.0%
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
85.7%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
61.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.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) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
88.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
60.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
29.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))) y) y)))
41.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) (fma.f64 z y y)) y) y)))
45.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 #s(approx (- y (* z y)) (*.f64 y (neg.f64 z))) y) y)))
60.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 y (*.f64 z y)) (*.f64 y y))))
70.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
44.3%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
44.3%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (*.f64 z (/.f64 #s(literal -1 binary64) y)))))
70.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
66.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal -1 binary64))))))
70.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
47.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
44.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))))
42.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z z))))))
28.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z z))))))
40.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 768 to 405 computations (47.3% saved)

simplify142.0ms (1.4%)

Memory
-15.3MiB live, 174.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y))
cost-diff0
(-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
cost-diff0
(fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
cost-diff192
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) z))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
cost-diff0
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
cost-diff0
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
cost-diff320
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
Rules
9 512×lower-fma.f32
9 500×lower-fma.f64
3 744×lower-*.f32
3 736×lower-*.f64
1 422×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058685
089675
1147615
2262601
3565601
41141601
52026593
63854577
76916577
08118561
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) y)
y
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
x
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
#s(literal 1 binary64)
(/.f64 y (-.f64 #s(literal 1 binary64) z))
y
(-.f64 #s(literal 1 binary64) z)
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))
#s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
y
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y))
#s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
#s(literal -2 binary64)
(*.f64 y y)
(*.f64 x x)
x
(-.f64 (/.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))
Outputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) y)
y
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
x
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
#s(literal 1 binary64)
(/.f64 y (-.f64 #s(literal 1 binary64) z))
y
(-.f64 #s(literal 1 binary64) z)
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (neg.f64 (fma.f64 (fma.f64 z y z) #s(literal -1/2 binary64) y)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (neg.f64 (fma.f64 (fma.f64 z y z) #s(literal -1/2 binary64) y)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (neg.f64 (fma.f64 (fma.f64 z y z) #s(literal -1/2 binary64) y)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))
#s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y)))
#s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (neg.f64 (fma.f64 (fma.f64 z y z) #s(literal -1/2 binary64) y)) (*.f64 y y)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))
(/.f64 (neg.f64 (fma.f64 (fma.f64 z y z) #s(literal -1/2 binary64) y)) (*.f64 y y))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
(neg.f64 (fma.f64 (fma.f64 z y z) #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
y
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(/.f64 (-.f64 (*.f64 x x) (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y))) (-.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))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
(fma.f64 (neg.f64 x) x (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)))
(/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y))
(/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y))
#s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))
#s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) z #s(literal -2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
#s(literal -2 binary64)
(*.f64 y y)
(*.f64 x x)
x
(-.f64 (/.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))

localize242.0ms (2.5%)

Memory
-2.1MiB live, 402.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.8945188649812352
(-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
accuracy10.17075802563559
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
accuracy21.187417934093105
#s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))
accuracy26.677619908370577
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
accuracy0.00390625
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
accuracy2.237163226293782
(fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))
accuracy18.546711696871075
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))
accuracy20.943444601516838
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)))
accuracy0.00390625
(/.f64 y (-.f64 #s(literal 1 binary64) z))
accuracy0.00390625
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
accuracy0.0625
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
accuracy20.1828143451133
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.00390625
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
accuracy0.0078125
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy20.1828143451133
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy0.00390625
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
accuracy1.2390993450706522
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
accuracy6.437170639040897
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
accuracy20.943444601516838
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))
Samples
121.0ms111×1valid
56.0ms123×0valid
11.0ms15×1exit
2.0ms0exit
Compiler

Compiled 447 to 51 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-add: 51.0ms (32.4% of total)
ival-div: 34.0ms (21.6% of total)
ival-mult: 25.0ms (15.9% of total)
ival-log: 21.0ms (13.3% of total)
adjust: 12.0ms (7.6% of total)
ival-exp: 9.0ms (5.7% of total)
ival-sub: 4.0ms (2.5% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series108.0ms (1.1%)

Memory
9.3MiB live, 121.3MiB allocated
Counts
22 → 588
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x) (patch (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())
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Outputs
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Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@0
((* (+ (* (+ (* 1/2 z) -1) z) 1) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (+ (/ (exp (* y (log (/ y (+ z y))))) y) x) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (- 1 z) y) (- 1 z) (/ 1 (/ y (- 1 z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ y (- 1 z)) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/ (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (- (/ (exp (* y (log (/ y (+ z y))))) y) x)) (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (* y y)) (exp (* y (log (/ y (+ z y))))))
3.0ms
y
@-inf
((* (+ (* (+ (* 1/2 z) -1) z) 1) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (+ (/ (exp (* y (log (/ y (+ z y))))) y) x) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (- 1 z) y) (- 1 z) (/ 1 (/ y (- 1 z))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ y (- 1 z)) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/ (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (- (/ (exp (* y (log (/ y (+ z y))))) y) x)) (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (* y y)) (exp (* y (log (/ y (+ z y))))))
3.0ms
z
@-inf
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3.0ms
y
@inf
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3.0ms
z
@inf
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simplify478.0ms (4.8%)

Memory
-21.6MiB live, 237.1MiB allocated
Algorithm
egg-herbie
Rules
7 574×lower-fma.f64
7 574×lower-fma.f32
6 358×lower-*.f64
6 358×lower-*.f32
5 958×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103819340
1326617188
0825616543
Stop Event
iter limit
node limit
Counts
588 → 567
Calls
Call 1
Inputs
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(/ (+ (/ (* (pow (exp (* -1 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y) (pow (exp (* -1 z)) 2)) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (* (pow (exp (* -1 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* -1 (/ (+ (* 1/4 (* (pow (exp (* -1 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))) (* 2 (* (pow (exp (* -1 z)) 2) (+ (* -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)) (pow (exp (* -1 z)) 2)) (pow y 2))
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Outputs
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(+ (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)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) z) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))) y) (*.f64 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 z z)) #s(literal -1/2 binary64))) 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)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 z))) (*.f64 z z) (/.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -24 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (*.f64 z z) z) #s(literal 2 binary64))) (*.f64 z z) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))))) y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) z) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 z)))) (neg.f64 y))) y))
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (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 (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/ (pow (pow (/ y (+ y z)) y) 2) (pow y 2))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))
(+ (* -1 (pow x 2)) (/ (pow (pow (/ y (+ y z)) y) 2) (pow y 2)))
(fma.f64 (neg.f64 x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)))
(+ (* -1 (pow x 2)) (/ (pow (pow (/ y (+ y z)) y) 2) (pow y 2)))
(fma.f64 (neg.f64 x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)))
(+ (* -1 (pow x 2)) (/ (pow (pow (/ y (+ y z)) y) 2) (pow y 2)))
(fma.f64 (neg.f64 x) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y)) x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 x x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)) #s(literal 1 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (pow (pow (/ y (+ y z)) y) 2) (* (pow x 2) (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 x x))

rewrite266.0ms (2.7%)

Memory
29.4MiB live, 338.7MiB allocated
Rules
4 382×lower-/.f32
4 366×lower-/.f64
3 530×lower-*.f32
3 522×lower-*.f64
3 130×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058541
089495
1430467
23623467
08629458
Stop Event
iter limit
node limit
iter limit
Counts
22 → 661
Calls
Call 1
Inputs
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
(/.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y))
#s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64)) y))
(pow.f64 (/.f64 y (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal -1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))) (*.f64 y y)))
(neg.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))))) #s(literal -1 binary64)))
#s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y)))
(pow.f64 (/.f64 y (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)))) (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (*.f64 y y)))
(/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y)
(/.f64 (*.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))) (*.f64 (*.f64 y y) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 y y)))
(neg.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))

eval269.0ms (2.7%)

Memory
23.0MiB live, 400.9MiB allocated
Compiler

Compiled 43 413 to 2 869 computations (93.4% saved)

prune240.0ms (2.4%)

Memory
-6.8MiB live, 630.0MiB allocated
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New1 25951 264
Fresh2911
Picked235
Done156
Total1 264221 286
Accuracy
100.0%
Counts
1 286 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
27.3%
(/.f64 #s(approx (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
70.0%
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
85.7%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
61.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.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) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
88.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
61.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
29.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))) y) y)))
41.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) (fma.f64 z y y)) y) y)))
45.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 #s(approx (- y (* z y)) (*.f64 y (neg.f64 z))) y) y)))
60.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 y (*.f64 z y)) (*.f64 y y))))
79.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 (fma.f64 (fma.f64 z y y) z y) z y)))))
78.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 (fma.f64 z y y) z y)))))
78.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y y)))))
44.3%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
44.3%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (*.f64 z (/.f64 #s(literal -1 binary64) y)))))
70.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
66.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal -1 binary64))))))
70.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
44.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))))
28.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z z))))))
40.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 1 071 to 392 computations (63.4% saved)

regimes71.0ms (0.7%)

Memory
15.8MiB live, 163.5MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
(+.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))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (*.f64 z (/.f64 #s(literal -1 binary64) y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 (fma.f64 z y y) z y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 y (*.f64 z y)) (*.f64 y y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 (fma.f64 (fma.f64 z y y) z y) z y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 #s(approx (- y (* z y)) (*.f64 y (neg.f64 z))) y) y)))
(/.f64 #s(approx (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z z))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 (neg.f64 z) (*.f64 z y))) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) (fma.f64 z y y)) y) y)))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z z))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.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))))) (fma.f64 (fma.f64 (fma.f64 (+.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) (+.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 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) y))) (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 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))) y) y)))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y))) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))
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:

16.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
16.0ms
x
13.0ms
y
12.0ms
z
11.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
94.6%3x
100.0%3y
91.3%2z
95.0%3(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
93.6%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes64.0ms (0.7%)

Memory
-4.8MiB live, 113.3MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
(+.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))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (*.f64 z (/.f64 #s(literal -1 binary64) y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 (fma.f64 z y y) z y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (-.f64 y (*.f64 z y)) (*.f64 y y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 (fma.f64 (fma.f64 z y y) z y) z y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 #s(approx (- y (* z y)) (*.f64 y (neg.f64 z))) y) y)))
(/.f64 #s(approx (- (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (* x x)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (-.f64 y (*.f64 z y)) y) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z z))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (/.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 z y) z) (/.f64 (neg.f64 z) (*.f64 z y))) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 z y y) (-.f64 y (*.f64 z y))) (fma.f64 z y y)) y) y)))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z z))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(approx (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) z #s(literal -2 binary64)) z #s(literal 1 binary64))) (*.f64 y y)) (*.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))))) (fma.f64 (fma.f64 (fma.f64 (+.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) (+.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 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) y))) (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 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y)) (-.f64 y (*.f64 z y))) (fma.f64 (*.f64 z y) (fma.f64 z y y) (*.f64 y y))) y) y)))
Outputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

5 calls:

18.0ms
y
12.0ms
z
12.0ms
x
10.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
10.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
91.3%2z
88.6%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
88.6%1x
88.6%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
90.9%2y
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
(+.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))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (*.f64 z (/.f64 #s(literal -1 binary64) y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z))))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y y)))))
Calls

2 calls:

3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
90.4%2y
88.6%1z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (/.f64 (neg.f64 z) y))))
(+.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))))) y) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (- (/ 1 y) (/ z y)) (*.f64 z (/.f64 #s(literal -1 binary64) y)))))
Outputs
(+.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
88.6%1z
88.6%1y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-20.0MiB live, 18.8MiB 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)) (/.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:

3.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
y
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
40.4%1x
40.4%1y
40.4%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
40.4%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
40.4%1z
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch53.0ms (0.5%)

Memory
24.7MiB live, 67.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.3679766970054603e-24
1.4452838447571178e-21
31.0ms
-4.0803360188287084e+37
-1.8607502376304797e+34
Samples
20.0ms206×0valid
13.0ms50×1valid
4.0ms61×0invalid
Compiler

Compiled 371 to 256 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-log: 9.0ms (31.5% of total)
ival-div: 5.0ms (17.5% of total)
ival-mult: 5.0ms (17.5% of total)
ival-exp: 4.0ms (14% of total)
ival-add: 4.0ms (14% of total)
adjust: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch70.0ms (0.7%)

Memory
-26.5MiB live, 48.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
64.0ms
-2.1952090704804475e+199
-3.3477652128404766e+197
Samples
8.0ms94×0valid
6.0ms90×0invalid
5.0ms18×1valid
Compiler

Compiled 201 to 128 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 4.0ms (30.2% of total)
ival-div: 3.0ms (22.6% of total)
ival-exp: 2.0ms (15.1% of total)
ival-add: 2.0ms (15.1% of total)
ival-mult: 1.0ms (7.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.3679766970054603e-24
1.4452838447571178e-21
Compiler

Compiled 211 to 136 computations (35.5% saved)

simplify7.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Rules
10×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061204
171204
273204
374204
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -19000000000000000695311645664083968 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3775007508029161/2658455991569831745807614120560689152 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 z #s(literal -340000000000000016584843988781938157914494365209620575881433710218994598572757249756687679535124738952916156834913055033619333500925098224310823624787601898883191135216405946515880469511865121112064 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y 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))
Outputs
(if (<=.f64 y #s(literal -19000000000000000695311645664083968 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3775007508029161/2658455991569831745807614120560689152 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 -19000000000000000695311645664083968 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))
(if (<=.f64 z #s(literal -340000000000000016584843988781938157914494365209620575881433710218994598572757249756687679535124738952916156834913055033619333500925098224310823624787601898883191135216405946515880469511865121112064 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 z #s(literal -340000000000000016584843988781938157914494365209620575881433710218994598572757249756687679535124738952916156834913055033619333500925098224310823624787601898883191135216405946515880469511865121112064 binary64)) (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (/ z y) (+ (/ 1/2 y) 1/2)) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y y))))))
(if (<=.f64 y #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 z)) (fma.f64 z y y)))) x))
(+.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)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

soundness773.0ms (7.8%)

Memory
-5.5MiB live, 680.8MiB allocated
Rules
11 560×lower-fma.f64
11 560×lower-fma.f32
10 548×lower-fma.f64
10 548×lower-fma.f32
9 640×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051611744
1154210116
252859051
081108596
05203809
115353201
253192873
081242727
034248
052242
1245226
22256226
08610226
0103819340
1326617188
0825616543
096519403
1305117255
0842016615
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 167 to 89 computations (46.7% saved)

preprocess187.0ms (1.9%)

Memory
-36.3MiB live, 138.3MiB allocated
Compiler

Compiled 266 to 116 computations (56.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...