SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 13.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze113.0ms (0.9%)

Memory
-6.6MiB live, 105.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
50%49.9%49.9%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
75%74.9%25%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
87.5%87.3%12.5%0.2%0%0%0%11
87.5%87.3%12.5%0.2%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.6s (12.4%)

Memory
-39.1MiB live, 1 548.4MiB allocated
Samples
997.0ms8 034×0valid
35.0ms222×1valid
Precisions
Click to see histograms. Total time spent on operations: 462.0ms
ival-div: 140.0ms (30.3% of total)
ival-mult: 140.0ms (30.3% of total)
ival-tanh: 78.0ms (16.9% of total)
ival-add: 48.0ms (10.4% of total)
ival-sub: 43.0ms (9.3% of total)
ival-true: 7.0ms (1.5% of total)
adjust: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain195.0ms (1.5%)

Memory
13.2MiB live, 231.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
130-1(-8.997269529682948e-276 -9.139827733914393e+235 5.1652844573059875e-226 -1.7632455062668456e-80)(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
10-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-(/.f64 x y)
00-0-(/.f64 t y)
00-0-t
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-(tanh.f64 (/.f64 x y))
00-0-z
00-0-(tanh.f64 (/.f64 t y))
00-0-y
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*o100
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u10
(*.f64 y z)overflow30
(/.f64 t y)underflow17
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow37
(tanh.f64 (/.f64 x y))underflow33
(/.f64 x y)underflow33
(tanh.f64 (/.f64 t y))underflow17
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*u10
Confusion
Predicted +Predicted -
+120
-0244
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1200
-00244
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms442×0valid
29.0ms66×2valid
2.0ms3valid
0.0ms1valid
Compiler

Compiled 139 to 40 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 10.0ms (29.4% of total)
ival-tanh: 7.0ms (20.6% of total)
ival-mult: 7.0ms (20.6% of total)
ival-sub: 3.0ms (8.8% of total)
ival-add: 3.0ms (8.8% of total)
adjust: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess320.0ms (2.4%)

Memory
7.1MiB live, 427.2MiB allocated
Algorithm
egg-herbie
Rules
12 492×lower-fma.f64
12 492×lower-fma.f32
3 782×lower-*.f32
3 778×lower-*.f64
2 164×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076226
1399224
21184210
34721210
01215
02015
16215
216515
342715
4165815
5638315
0840814
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Symmetry

(abs y)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify334.0ms (2.5%)

Memory
-1.4MiB live, 322.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Rules
12 492×lower-fma.f64
12 492×lower-fma.f32
3 782×lower-*.f32
3 778×lower-*.f64
2 164×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
02058
16258
216558
342758
4165858
5638358
0840857
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)

localize42.0ms (0.3%)

Memory
-13.3MiB live, 72.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(tanh.f64 (/.f64 t y))
accuracy0.015625
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy0.049181980663730605
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy3.0286005557910136
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
21.0ms221×0valid
9.0ms33×2valid
1.0ms3valid
0.0ms1valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 5.0ms (30.6% of total)
ival-mult: 4.0ms (24.5% of total)
ival-tanh: 3.0ms (18.3% of total)
ival-add: 2.0ms (12.2% of total)
adjust: 1.0ms (6.1% of total)
ival-sub: 1.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.5%)

Memory
22.1MiB live, 95.1MiB allocated
Counts
5 → 180
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
Outputs
#s(alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- t x))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
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Calls

45 calls:

TimeVariablePointExpression
16.0ms
z
@0
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
8.0ms
y
@inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms
t
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms
y
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms
t
@inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify725.0ms (5.5%)

Memory
-20.0MiB live, 336.9MiB allocated
Algorithm
egg-herbie
Rules
9 934×lower-fma.f64
9 934×lower-fma.f32
3 770×lower-*.f64
3 770×lower-*.f32
3 548×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04399242
114846963
261596572
092156439
Stop Event
iter limit
node limit
Counts
180 → 176
Calls
Call 1
Inputs
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
x
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
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x
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Outputs
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(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))))
(/ t y)
(/.f64 t y)
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)
(/.f64 (+.f64 t #s(literal 0 binary64)) y)
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))) t) y)
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) (/.f64 (fma.f64 t (neg.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (*.f64 y (*.f64 y y)))) t)) y)
(/ t y)
(/.f64 t y)
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))
(/.f64 (+.f64 t #s(literal 0 binary64)) y)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (+.f64 t (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 y)) y)) y)

rewrite484.0ms (3.7%)

Memory
8.9MiB live, 313.6MiB allocated
Rules
5 094×lower-*.f32
5 090×lower-*.f64
4 102×lower-/.f32
4 098×lower-/.f64
2 936×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
02044
19944
287144
0820843
Stop Event
iter limit
node limit
iter limit
Counts
5 → 271
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (fma.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) (*.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))))
(*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))))
(tanh.f64 (/.f64 t y))

eval94.0ms (0.7%)

Memory
3.6MiB live, 127.8MiB allocated
Compiler

Compiled 19 954 to 1 601 computations (92% saved)

prune116.0ms (0.9%)

Memory
5.5MiB live, 145.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4407447
Fresh000
Picked101
Done000
Total4417448
Accuracy
100.0%
Counts
448 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
39.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))))
63.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
51.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
23.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
60.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
25.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
Compiler

Compiled 358 to 204 computations (43% saved)

simplify269.0ms (2.1%)

Memory
-10.5MiB live, 461.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff128
(/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
cost-diff384
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y)
cost-diff1024
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff64
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64))
cost-diff320
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))
cost-diff384
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)
cost-diff1024
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
cost-diff0
(-.f64 t x)
cost-diff0
(fma.f64 z (-.f64 t x) x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
cost-diff0
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
Rules
12 774×lower-fma.f32
12 764×lower-fma.f64
5 324×lower-*.f32
5 304×lower-*.f64
5 292×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053702
092696
1192634
2408556
31053550
43436550
08160531
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (-.f64 t x) x)
z
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))
(fma.f64 z (-.f64 t x) x)
z
(-.f64 t x)
t
x
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 t t) #s(literal 1/3 binary64))
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 z y)
y
#s(literal 0 binary64)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))
(/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))
(+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t))
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y)
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
t
(*.f64 (*.f64 t t) #s(literal 1/3 binary64))
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 x t)
(neg.f64 y)
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (-.f64 t x) x)
z
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) x))
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))
(fma.f64 z (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) x)
(fma.f64 z (-.f64 t x) x)
z
(-.f64 t x)
t
x
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)
(/.f64 (*.f64 z (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (*.f64 y y))
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64))
(/.f64 (*.f64 z (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) y)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x x)
#s(literal -1/2 binary64)
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 (*.f64 t t) #s(literal 1/3 binary64))
(*.f64 t (*.f64 t #s(literal 1/3 binary64)))
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(/.f64 z y)
y
#s(literal 0 binary64)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
(fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y))) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))
(*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y))
(/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))
(/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y)
(+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t))
(+.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 y y)) (-.f64 x t))
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y)
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 y y))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y)
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) y)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x x)
#s(literal -1/2 binary64)
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
t
(*.f64 (*.f64 t t) #s(literal 1/3 binary64))
(*.f64 t (*.f64 t #s(literal 1/3 binary64)))
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(-.f64 x t)
(neg.f64 y)

localize248.0ms (1.9%)

Memory
-15.8MiB live, 384.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.8225783661255917
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y)
accuracy6.636469278543394
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y)
accuracy16.69130991921946
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
accuracy42.031866249844356
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))
accuracy9.218194579503987
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64))
accuracy10.089790081585354
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))
accuracy16.69130991921946
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
accuracy40.677018893172956
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
accuracy0.0078125
(/.f64 (-.f64 t x) y)
accuracy0.015625
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
accuracy3.0286005557910136
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy40.771211595873126
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy0
(-.f64 t x)
accuracy0.00390625
(fma.f64 z (-.f64 t x) x)
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
accuracy0.0078125
(tanh.f64 (/.f64 x y))
accuracy0.01171875
(tanh.f64 (/.f64 t y))
accuracy0.049181980663730605
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.6057681023810185
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
Samples
111.0ms221×0valid
27.0ms33×2valid
2.0ms3valid
2.0ms1valid
Compiler

Compiled 571 to 46 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-div: 28.0ms (25.8% of total)
ival-mult: 27.0ms (24.9% of total)
ival-tanh: 26.0ms (24% of total)
ival-add: 9.0ms (8.3% of total)
const: 7.0ms (6.5% of total)
adjust: 5.0ms (4.6% of total)
ival-sub: 5.0ms (4.6% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series175.0ms (1.3%)

Memory
9.4MiB live, 204.3MiB allocated
Counts
23 → 876
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (-.f64 t x) x) (patch (fma.f64 z (-.f64 t x) x) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (patch (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) (patch (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) (patch (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) (patch (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (patch (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) #<representation binary64>) () ())
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Outputs
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#s(alt (/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) (taylor inf y) (#s(alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) (patch (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) (taylor inf y) (#s(alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) (patch (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) (taylor inf y) (#s(alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) (patch (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) (taylor -inf y) (#s(alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) (patch (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) (taylor -inf y) (#s(alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) (patch (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) #<representation binary64>) () ())) ())
Calls

219 calls:

TimeVariablePointExpression
33.0ms
t
@inf
(/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)
3.0ms
y
@inf
(/ (+ (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (- x t)) (neg y))
2.0ms
z
@0
(/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)
2.0ms
z
@inf
(/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)
2.0ms
y
@0
(/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)

simplify491.0ms (3.7%)

Memory
35.9MiB live, 661.7MiB allocated
Algorithm
egg-herbie
Rules
11 446×lower-fma.f64
11 446×lower-fma.f32
6 454×lower-+.f64
6 454×lower-+.f32
5 352×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092435485
1307631081
0860130173
Stop Event
iter limit
node limit
Counts
876 → 851
Calls
Call 1
Inputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* z (- t x)))
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))
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(+ x (* -1 (* z (- (* -1 t) (* -1 x)))))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
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(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
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x
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
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(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))
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(/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y)
(* -1 (/ (- (* -1 t) (* -1 x)) y))
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(* 1/3 (/ (pow t 3) y))
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(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
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Outputs
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x
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(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 x (*.f64 x (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 x (*.f64 x (neg.f64 x))))
(/ (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))) y)
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y)
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y))
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y))
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y))
(* 1/3 (/ (pow t 3) y))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))))
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))))
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))))
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
(* 1/3 (/ (pow t 3) y))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y)))))
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y))))
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y)))))
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y))))
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y)))))
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y))))
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)

rewrite386.0ms (2.9%)

Memory
8.6MiB live, 510.2MiB allocated
Rules
4 464×lower-/.f32
4 448×lower-/.f64
4 160×lower-*.f32
4 140×lower-*.f64
3 200×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053467
092461
1385421
23616421
09180396
Stop Event
iter limit
node limit
iter limit
Counts
23 → 693
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (-.f64 t x) x)
(-.f64 t x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64))
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
(/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))
(tanh.f64 (/.f64 x y))
(/.f64 (-.f64 t x) y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y)
Outputs
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) (neg.f64 y))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) y))
(*.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))

eval308.0ms (2.3%)

Memory
1.0MiB live, 584.7MiB allocated
Compiler

Compiled 85 142 to 4 256 computations (95% saved)

prune305.0ms (2.3%)

Memory
-23.6MiB live, 480.0MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1 769221 791
Fresh112
Picked325
Done000
Total1 773251 798
Accuracy
100.0%
Counts
1 798 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
74.9%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
45.0%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x)
65.7%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
63.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
28.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
32.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
29.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y)))))
31.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
49.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
51.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
51.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
54.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
44.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t))))))))
43.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
60.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
43.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
57.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
29.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
31.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
2.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))
13.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x))))))
51.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
26.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
16.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Compiler

Compiled 973 to 531 computations (45.4% saved)

simplify216.0ms (1.6%)

Memory
23.4MiB live, 286.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
cost-diff128
(-.f64 x (*.f64 z (-.f64 t x)))
cost-diff384
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))
cost-diff2176
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))
cost-diff0
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
cost-diff704
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))))
cost-diff0
#s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
cost-diff128
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))
cost-diff1280
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))
cost-diff0
(*.f64 z t)
cost-diff0
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
cost-diff0
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
Rules
6 480×lower-fma.f32
6 474×lower-fma.f64
3 536×lower-*.f32
3 520×lower-*.f64
2 728×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049418
078400
1171354
2427332
31616331
44402321
08259315
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
(*.f64 z t)
z
t
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))
(neg.f64 t)
t
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))
(neg.f64 z)
z
(/.f64 (fma.f64 x (neg.f64 z) x) t)
(fma.f64 x (neg.f64 z) x)
x
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)
z
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))))
#s(literal 1 binary64)
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))
(+.f64 t x)
t
x
(*.f64 (+.f64 t x) (-.f64 t x))
(-.f64 t x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))
(*.f64 x x)
x
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))
z
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))
(-.f64 t x)
t
(*.f64 z (-.f64 t x))
(-.f64 x (*.f64 z (-.f64 t x)))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z)))
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
#s(approx (+ (* z (- t x)) x) (*.f64 t z))
(*.f64 z t)
(*.f64 t z)
z
t
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z (-.f64 t x) x)))
#s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))
#s(approx (+ (* z (- t x)) x) (fma.f64 z (-.f64 t x) x))
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))
(fma.f64 z (-.f64 t x) x)
(neg.f64 t)
t
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))
(-.f64 (/.f64 (fma.f64 x z (neg.f64 x)) t) z)
(neg.f64 z)
z
(/.f64 (fma.f64 x (neg.f64 z) x) t)
(fma.f64 x (neg.f64 z) x)
x
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)
(fma.f64 z (-.f64 t x) x)
z
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))))
(-.f64 t x)
#s(literal 1 binary64)
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (-.f64 t x))
(+.f64 t x)
t
x
(*.f64 (+.f64 t x) (-.f64 t x))
(-.f64 t x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))
(fma.f64 z (-.f64 t x) x)
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))
(*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 x t) x))
(*.f64 x x)
x
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))
(*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))
z
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))
(-.f64 t x)
t
(*.f64 z (-.f64 t x))
(-.f64 x (*.f64 z (-.f64 t x)))
(fma.f64 z (-.f64 x t) x)

localize228.0ms (1.7%)

Memory
-20.2MiB live, 232.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.894835984731306
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))
accuracy9.144467260736384
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
accuracy35.289779524464095
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))
accuracy0.00390625
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))))
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
accuracy27.53944464435053
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))
accuracy0.0078125
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))
accuracy1.4932859875920796
(/.f64 (fma.f64 x (neg.f64 z) x) t)
accuracy8.024759854694542
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
accuracy0
(*.f64 z t)
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
accuracy35.6392382245272
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
accuracy0.01171875
(tanh.f64 (/.f64 t y))
accuracy0.049181980663730605
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy0.6057681023810185
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
accuracy29.34567996216107
#s(approx (tanh (/ x y)) (/.f64 x y))
Samples
75.0ms34×2valid
61.0ms221×0valid
1.0ms1valid
Compiler

Compiled 317 to 41 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-sub: 44.0ms (44.2% of total)
ival-mult: 24.0ms (24.1% of total)
ival-div: 13.0ms (13.1% of total)
ival-add: 8.0ms (8% of total)
adjust: 5.0ms (5% of total)
ival-tanh: 3.0ms (3% of total)
ival-neg: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series116.0ms (0.9%)

Memory
36.8MiB live, 152.3MiB allocated
Counts
22 → 792
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (- t x)) x) (*.f64 z t)) (patch #s(approx (+ (* z (- t x)) x) (*.f64 z t)) #<representation binary64>) () ())
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) (patch (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) (patch (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) (patch #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) (patch (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (patch (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 z (-.f64 t x))) (patch (-.f64 x (*.f64 z (-.f64 t x))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (neg.f64 z) x) t) (patch (/.f64 (fma.f64 x (neg.f64 z) x) t) #<representation binary64>) () ())
#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
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#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) (taylor inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ())
Calls

198 calls:

TimeVariablePointExpression
33.0ms
z
@-inf
(/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x))))
1.0ms
x
@inf
(/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x))))
1.0ms
t
@0
(/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x))))
1.0ms
x
@-inf
(/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x))))
1.0ms
t
@inf
(/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x))))

simplify732.0ms (5.6%)

Memory
-10.4MiB live, 574.5MiB allocated
Algorithm
egg-herbie
Rules
8 122×lower-fma.f64
8 122×lower-fma.f32
6 398×lower-*.f64
6 398×lower-*.f32
5 078×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117627599
1395424613
0956123792
Stop Event
iter limit
node limit
Counts
792 → 763
Calls
Call 1
Inputs
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x
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(+ (* -1 (/ (* x z) t)) (/ x t))
(+ (* -1 (/ (* x z) t)) (/ x t))
(* -1 (/ (* x z) t))
(* z (+ (* -1 (/ x t)) (/ x (* t z))))
(* z (+ (* -1 (/ x t)) (/ x (* t z))))
(* z (+ (* -1 (/ x t)) (/ x (* t z))))
(* -1 (/ (* x z) t))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t))))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t))))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t))))
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(/ (+ x (* -1 (* x z))) t)
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow z 2) (pow (- t x) 2))
(* (pow x 2) (pow z 2))
(+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2)))
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))
(* (pow t 2) (pow z 2))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))
(* (pow t 2) (pow z 2))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))
(* (pow t 2) (pow z 2))
(+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(* (pow x 2) (pow z 2))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))
(* (pow x 2) (pow z 2))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))
Outputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(fma.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 x (fma.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 z t)))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* z (- t x)))
(fma.f64 z (-.f64 t x) x)
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+.f64 x (fma.f64 z (-.f64 t x) (*.f64 z (/.f64 #s(literal 0 binary64) y))))
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))
(+.f64 x (fma.f64 z (-.f64 t x) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 t (*.f64 t t))))) (*.f64 y y)) (*.f64 z (/.f64 #s(literal 0 binary64) y)))))
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))
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(+ x (* -1 (* z (- (* -1 t) (* -1 x)))))
(fma.f64 z (-.f64 t x) x)
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
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(/.f64 (+.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64))) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) y)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)))) (neg.f64 y)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (* x (+ 1 (* -1 z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(* -1 (/ (* x (- z 1)) t))
(/.f64 (-.f64 x (*.f64 x z)) t)
(* -1 (/ (* x (- z 1)) t))
(/.f64 (-.f64 x (*.f64 x z)) t)
(* -1 (/ (* x (- z 1)) t))
(/.f64 (-.f64 x (*.f64 x z)) t)
(* -1 (/ (* x (- z 1)) t))
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ x t)
(/.f64 x t)
(+ (* -1 (/ (* x z) t)) (/ x t))
(-.f64 (/.f64 x t) (/.f64 (*.f64 x z) t))
(+ (* -1 (/ (* x z) t)) (/ x t))
(-.f64 (/.f64 x t) (/.f64 (*.f64 x z) t))
(+ (* -1 (/ (* x z) t)) (/ x t))
(-.f64 (/.f64 x t) (/.f64 (*.f64 x z) t))
(* -1 (/ (* x z) t))
(*.f64 x (/.f64 z (neg.f64 t)))
(* z (+ (* -1 (/ x t)) (/ x (* t z))))
(*.f64 z (-.f64 (/.f64 x (*.f64 z t)) (/.f64 x t)))
(* z (+ (* -1 (/ x t)) (/ x (* t z))))
(*.f64 z (-.f64 (/.f64 x (*.f64 z t)) (/.f64 x t)))
(* z (+ (* -1 (/ x t)) (/ x (* t z))))
(*.f64 z (-.f64 (/.f64 x (*.f64 z t)) (/.f64 x t)))
(* -1 (/ (* x z) t))
(*.f64 x (/.f64 z (neg.f64 t)))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t))))
(neg.f64 (*.f64 z (-.f64 (/.f64 x t) (/.f64 x (*.f64 z t)))))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t))))
(neg.f64 (*.f64 z (-.f64 (/.f64 x t) (/.f64 x (*.f64 z t)))))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t))))
(neg.f64 (*.f64 z (-.f64 (/.f64 x t) (/.f64 x (*.f64 z t)))))
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(/ (+ x (* -1 (* x z))) t)
(/.f64 (-.f64 x (*.f64 x z)) t)
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow z 2) (pow (- t x) 2))
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))
(* (pow x 2) (pow z 2))
(*.f64 (*.f64 x x) (*.f64 z z))
(+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2)))
(fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z))))
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))
(fma.f64 t (fma.f64 t (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (*.f64 z z)))
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))
(fma.f64 t (fma.f64 t (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (*.f64 z z)))
(* (pow t 2) (pow z 2))
(*.f64 (*.f64 z t) (*.f64 z t))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z))) t)))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))
(*.f64 (*.f64 t t) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t) (fma.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 z z))))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))
(*.f64 (*.f64 t t) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t) (fma.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 z z))))
(* (pow t 2) (pow z 2))
(*.f64 (*.f64 z t) (*.f64 z t))
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z))) t)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)) (/.f64 (*.f64 (*.f64 x x) (*.f64 z z)) (neg.f64 t))) (neg.f64 t))))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)) (/.f64 (*.f64 (*.f64 x x) (*.f64 z z)) (neg.f64 t))) (neg.f64 t))))
(* (pow t 2) (pow z 2))
(*.f64 (*.f64 z t) (*.f64 z t))
(+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(fma.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)) (*.f64 (*.f64 z t) (*.f64 z t)))
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(fma.f64 x (fma.f64 x (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (*.f64 (*.f64 z t) (*.f64 z t)))
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(fma.f64 x (fma.f64 x (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (*.f64 (*.f64 z t) (*.f64 z t)))
(* (pow x 2) (pow z 2))
(*.f64 (*.f64 x x) (*.f64 z z))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))
(*.f64 (*.f64 x x) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x)))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) (fma.f64 z z (/.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 x x)))))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) (fma.f64 z z (/.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 x x)))))
(* (pow x 2) (pow z 2))
(*.f64 (*.f64 x x) (*.f64 z z))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))
(*.f64 (*.f64 x x) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (neg.f64 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (neg.f64 x))))

rewrite448.0ms (3.4%)

Memory
35.8MiB live, 271.5MiB allocated
Rules
6 510×lower-*.f32
6 494×lower-*.f64
3 570×lower-/.f32
3 558×lower-/.f64
2 414×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049354
078320
1333272
22874272
08930268
Stop Event
iter limit
node limit
iter limit
Counts
22 → 487
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
(*.f64 z t)
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))))
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))
(-.f64 x (*.f64 z (-.f64 t x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 (fma.f64 x (neg.f64 z) x) t)
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))
Outputs
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x)
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eval307.0ms (2.3%)

Memory
-40.2MiB live, 374.4MiB allocated
Compiler

Compiled 45 427 to 2 497 computations (94.5% saved)

prune201.0ms (1.5%)

Memory
-1.9MiB live, 393.1MiB allocated
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New1 224261 250
Fresh71118
Picked325
Done022
Total1 234411 275
Accuracy
100.0%
Counts
1 275 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
99.2%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
74.9%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
45.0%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x)
65.7%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
63.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
28.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
32.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
31.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
49.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
51.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
51.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
54.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
53.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x))
52.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
60.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x))
58.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
44.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x))
58.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
56.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x))
60.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
33.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x))
60.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x))
57.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
17.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x)))))
24.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x)))))
24.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
25.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
60.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))))
24.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))))
30.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
21.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
55.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))))
26.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
13.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x))))))
13.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x))))))))
45.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t)))))
45.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
16.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
26.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
44.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)))))))
Compiler

Compiled 1 860 to 942 computations (49.4% saved)

simplify363.0ms (2.8%)

Memory
-16.2MiB live, 317.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
cost-diff192
(fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)
cost-diff576
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
cost-diff1024
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
cost-diff0
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))
cost-diff0
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
cost-diff1408
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))
cost-diff0
(-.f64 t x)
cost-diff0
(*.f64 z (-.f64 t x))
cost-diff0
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
cost-diff0
(/.f64 t y)
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
Rules
6 120×lower-fma.f32
6 116×lower-fma.f64
4 270×lower-*.f32
4 252×lower-*.f64
2 158×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059582
089558
1206508
2504494
31658426
45703418
08222404
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))
(*.f64 z (-.f64 t x))
z
(-.f64 t x)
t
x
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))
z
(*.f64 (-.f64 t x) (-.f64 t x))
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
(*.f64 (+.f64 t x) (-.f64 t x))
(+.f64 t x)
t
(-.f64 t x)
(*.f64 y (+.f64 t x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
(fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)
z
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)))
#s(literal 1 binary64)
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(*.f64 t t)
t
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 t x))
(/.f64 t x)
Outputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))
(*.f64 z (-.f64 t x))
z
(-.f64 t x)
t
x
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))
(*.f64 (*.f64 z (-.f64 t x)) (-.f64 t x))
z
(*.f64 (-.f64 t x) (-.f64 t x))
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
(/.f64 (-.f64 t x) y)
(*.f64 (+.f64 t x) (-.f64 t x))
(*.f64 (-.f64 t x) (+.f64 t x))
(+.f64 t x)
t
(-.f64 t x)
(*.f64 y (+.f64 t x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+.f64 x (/.f64 z #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x)))))
(fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)
(+.f64 x (/.f64 z #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x))))
z
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)
(/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x)
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x)))
(fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(*.f64 t t)
t
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 t x))
(/.f64 t x)

localize224.0ms (1.7%)

Memory
33.8MiB live, 309.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.261667145755145
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x)))
accuracy12.005799616175155
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
accuracy32.60790241438039
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))
accuracy0.015625
(*.f64 y (+.f64 t x))
accuracy3.0286005557910136
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
accuracy23.287991668667082
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
accuracy40.771211595873126
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
accuracy7.538098077707637
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))
accuracy15.891101650470068
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))
accuracy22.4627229114385
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
accuracy0
(-.f64 t x)
accuracy0.0078125
(*.f64 z (-.f64 t x))
accuracy22.4627229114385
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))
accuracy25.141671633854255
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
accuracy0.01171875
(tanh.f64 (/.f64 t y))
accuracy0.049181980663730605
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy2.8732745933471215
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
accuracy29.34567996216107
#s(approx (tanh (/ x y)) (/.f64 x y))
Samples
90.0ms221×0valid
24.0ms33×2valid
1.0ms3valid
1.0ms1valid
Compiler

Compiled 359 to 44 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 22.0ms (33.4% of total)
ival-div: 21.0ms (31.9% of total)
ival-sub: 6.0ms (9.1% of total)
ival-add: 6.0ms (9.1% of total)
adjust: 5.0ms (7.6% of total)
ival-tanh: 4.0ms (6.1% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series93.0ms (0.7%)

Memory
-23.3MiB live, 214.5MiB allocated
Counts
25 → 864
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) (patch #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) #<representation binary64>) () ())
#s(alt (*.f64 z (-.f64 t x)) (patch (*.f64 z (-.f64 t x)) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) (patch (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) (patch #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) #<representation binary64>) () ())
#s(alt (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (patch (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) (patch (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) (patch (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) #<representation binary64>) () ())
#s(alt (*.f64 y (+.f64 t x)) (patch (*.f64 y (+.f64 t x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) (patch #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (patch (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ())
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Calls

216 calls:

TimeVariablePointExpression
4.0ms
t
@inf
(/ t y)
2.0ms
t
@inf
(* y (+ t x))
1.0ms
t
@0
(/ (* t t) (* x (neg x)))
1.0ms
x
@0
(/ (* t t) (* x (neg x)))
1.0ms
t
@inf
(/ (* t t) (* x (neg x)))

simplify413.0ms (3.1%)

Memory
9.7MiB live, 641.3MiB allocated
Algorithm
egg-herbie
Rules
7 074×lower-fma.f64
7 074×lower-fma.f32
5 740×lower-*.f64
5 740×lower-*.f32
4 430×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103531403
1351027975
0842927067
Stop Event
iter limit
node limit
Counts
864 → 835
Calls
Call 1
Inputs
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(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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x
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(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
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(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* y (+ t x))
(* x y)
(+ (* t y) (* x y))
(+ (* t y) (* x y))
(+ (* t y) (* x y))
(* t y)
(* t (+ y (/ (* x y) t)))
(* t (+ y (/ (* x y) t)))
(* t (+ y (/ (* x y) t)))
(* t y)
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(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t)))))
(* t y)
(+ (* t y) (* x y))
(+ (* t y) (* x y))
(+ (* t y) (* x y))
(* x y)
(* x (+ y (/ (* t y) x)))
(* x (+ y (/ (* t y) x)))
(* x (+ y (/ (* t y) x)))
(* x y)
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(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(/ -1 x)
(- (* -1 (/ t (pow x 2))) (/ 1 x))
(- (* t (- (* -1 (/ t (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* t (- (* t (- (* -1 (/ t (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 t)
(/ (+ 1 (/ x t)) t)
(/ (- (+ 1 (/ (pow x 2) (pow t 2))) (* -1 (/ x t))) t)
(/ (- (+ 1 (/ (pow x 3) (pow t 3))) (+ (* -1 (/ x t)) (* -1 (/ (pow x 2) (pow t 2))))) t)
(/ 1 t)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) t)) (pow x 2)) t)) (* -1 x)) t)) 1) t))
(/ 1 t)
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(/ -1 x)
(/ (- (* -1 (/ t x)) 1) x)
(/ (- (* -1 (/ (pow t 2) (pow x 2))) (+ 1 (/ t x))) x)
(/ (- (* -1 (/ (pow t 3) (pow x 3))) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ t x)) x))
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(* -1 (/ (pow t 2) (pow x 2)))
(* -1 (/ (pow t 2) (pow x 2)))
(* -1 (/ (pow t 2) (pow x 2)))
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(* -1 (/ (pow t 2) (pow x 2)))
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Outputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 z t)))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x)
(+ x (* z (- t x)))
(fma.f64 z (-.f64 t x) x)
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
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(*.f64 y (+.f64 x t))
(* y (+ t x))
(*.f64 y (+.f64 x t))
(* y (+ t x))
(*.f64 y (+.f64 x t))
(* y (+ t x))
(*.f64 y (+.f64 x t))
(* x y)
(*.f64 x y)
(+ (* t y) (* x y))
(*.f64 y (+.f64 x t))
(+ (* t y) (* x y))
(*.f64 y (+.f64 x t))
(+ (* t y) (* x y))
(*.f64 y (+.f64 x t))
(* t y)
(*.f64 y t)
(* t (+ y (/ (* x y) t)))
(*.f64 t (fma.f64 x (/.f64 y t) y))
(* t (+ y (/ (* x y) t)))
(*.f64 t (fma.f64 x (/.f64 y t) y))
(* t (+ y (/ (* x y) t)))
(*.f64 t (fma.f64 x (/.f64 y t) y))
(* t y)
(*.f64 y t)
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t)))))
(*.f64 (neg.f64 t) (neg.f64 (fma.f64 x (/.f64 y t) y)))
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t)))))
(*.f64 (neg.f64 t) (neg.f64 (fma.f64 x (/.f64 y t) y)))
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t)))))
(*.f64 (neg.f64 t) (neg.f64 (fma.f64 x (/.f64 y t) y)))
(* t y)
(*.f64 y t)
(+ (* t y) (* x y))
(*.f64 y (+.f64 x t))
(+ (* t y) (* x y))
(*.f64 y (+.f64 x t))
(+ (* t y) (* x y))
(*.f64 y (+.f64 x t))
(* x y)
(*.f64 x y)
(* x (+ y (/ (* t y) x)))
(*.f64 x (fma.f64 t (/.f64 y x) y))
(* x (+ y (/ (* t y) x)))
(*.f64 x (fma.f64 t (/.f64 y x) y))
(* x (+ y (/ (* t y) x)))
(*.f64 x (fma.f64 t (/.f64 y x) y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 t (/.f64 y x) y)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 t (/.f64 y x) y)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 t (/.f64 y x) y)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ t (pow x 2))) (/ 1 x))
(+.f64 (neg.f64 (/.f64 t (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(- (* t (- (* -1 (/ t (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(- (* t (- (* t (- (* -1 (/ t (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 t (fma.f64 t (+.f64 (/.f64 t (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ (+ 1 (/ x t)) t)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) t)
(/ (- (+ 1 (/ (pow x 2) (pow t 2))) (* -1 (/ x t))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t)
(/ (- (+ 1 (/ (pow x 3) (pow t 3))) (+ (* -1 (/ x t)) (* -1 (/ (pow x 2) (pow t 2))))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) (-.f64 (/.f64 x (neg.f64 t)) (/.f64 (*.f64 x x) (*.f64 t t))))) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(* -1 (/ (- (* -1 (/ x t)) 1) t))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) t)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)) 1) t))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) t)) (pow x 2)) t)) (* -1 x)) t)) 1) t))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) t) (*.f64 x x)) (neg.f64 t)) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(+ (/ 1 t) (/ x (pow t 2)))
(+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t t)))
(+ (* x (+ (/ 1 (pow t 2)) (/ x (pow t 3)))) (/ 1 t))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 x (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t))
(+ (* x (+ (* x (+ (/ 1 (pow t 3)) (/ x (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) (/.f64 x (*.f64 (*.f64 t t) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) t))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ t x)) 1) x)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x)) x))
(/ (- (* -1 (/ (pow t 2) (pow x 2))) (+ 1 (/ t x))) x)
(/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)
(/ (- (* -1 (/ (pow t 3) (pow x 3))) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) x)
(/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x (neg.f64 x)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x)) (/.f64 (*.f64 t t) (*.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ t x)) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow t 3) x) (* -1 (pow t 2))) x)) t) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 t (*.f64 t t)) x) (*.f64 t t)) (neg.f64 x)) t) x)) (neg.f64 x))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(* -1 (/ (pow t 2) (pow x 2)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))

rewrite417.0ms (3.2%)

Memory
22.7MiB live, 370.5MiB allocated
Rules
4 472×lower-/.f32
4 456×lower-/.f64
3 846×lower-*.f32
3 828×lower-*.f64
3 200×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059502
089466
1397342
23499342
08517334
Stop Event
iter limit
node limit
iter limit
Counts
25 → 520
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))
(*.f64 z (-.f64 t x))
(-.f64 t x)
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
(*.f64 y z)
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x)))
(fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)))
#s(approx (tanh (/ x y)) (/.f64 x y))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
(*.f64 y (+.f64 t x))
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
Outputs
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))))
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(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x))))
(/.f64 #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x)))) #s(literal 1 binary64))
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x))
(pow.f64 #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(*.f64 #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 t (/.f64 t (neg.f64 x))) t) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 t t) (*.f64 x x)))
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 t t) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 t t) x))))
(/.f64 (neg.f64 (*.f64 t t)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 t t) x) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 x t) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 t t) x)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 t x) t) (neg.f64 x))
(/.f64 (*.f64 t (/.f64 t (neg.f64 x))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 x))) (/.f64 x t))
(/.f64 (*.f64 (neg.f64 t) (/.f64 t (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 t t) (neg.f64 x)) x)
(/.f64 (/.f64 (/.f64 (*.f64 t t) x) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (*.f64 (/.f64 x t) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 t x) t)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 t t)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 t t) x))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 t (/.f64 t (neg.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 x)))) (neg.f64 (/.f64 x t)))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t (neg.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 t t) (neg.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 t t) x) #s(literal -1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 t t) x)) #s(literal -1 binary64))
(*.f64 t (/.f64 t (*.f64 x (neg.f64 x))))
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 t (neg.f64 x))))
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 t x) (/.f64 t (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 t (neg.f64 x)) (/.f64 t x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) (*.f64 t t)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 t t))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 t t) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 t (*.f64 x (neg.f64 x))) t)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 t t) x))

eval313.0ms (2.4%)

Memory
19.1MiB live, 464.2MiB allocated
Compiler

Compiled 55 043 to 3 239 computations (94.1% saved)

prune257.0ms (2%)

Memory
-13.2MiB live, 477.5MiB allocated
Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New1 636131 649
Fresh72532
Picked325
Done044
Total1 646441 690
Accuracy
100.0%
Counts
1 690 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
99.2%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
74.9%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
45.0%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x)
65.7%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
63.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
28.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
32.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
20.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
49.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
51.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
51.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
54.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
58.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
44.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x))
58.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
29.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x))
60.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))
56.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x))
60.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
33.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x))
57.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
17.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x)))))
24.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x)))))
24.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
25.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
24.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))))
30.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
13.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x))))
55.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))))
11.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
13.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
13.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x))))
13.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x))))
26.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))))
26.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x))))))
26.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
14.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
23.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t))))))
13.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x))))))
13.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x))))))))
45.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
16.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
26.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
Compiler

Compiled 2 294 to 810 computations (64.7% saved)

regimes107.0ms (0.8%)

Memory
-6.5MiB live, 148.8MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t)))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x))
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
Calls

5 calls:

23.0ms
t
21.0ms
z
21.0ms
x
21.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
18.0ms
y
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes105.0ms (0.8%)

Memory
11.5MiB live, 207.6MiB allocated
Counts
67 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t))))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x))))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))))
Outputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))
Calls

5 calls:

21.0ms
t
20.0ms
x
20.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.0ms
y
19.0ms
z
Results
AccuracySegmentsBranch
85.3%3x
80.8%2y
74.9%1z
84.0%3t
81.8%4(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes151.0ms (1.1%)

Memory
-24.3MiB live, 136.7MiB allocated
Counts
62 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t))))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x))))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
Calls

5 calls:

76.0ms
z
19.0ms
x
18.0ms
t
18.0ms
y
16.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
74.6%3z
75.2%4(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
74.5%2y
73.8%3t
67.3%2x
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes39.0ms (0.3%)

Memory
-5.9MiB live, 45.7MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t)))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t))))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x))))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Calls

2 calls:

19.0ms
z
16.0ms
y
Results
AccuracySegmentsBranch
69.3%3z
72.3%2y
Compiler

Compiled 10 to 8 computations (20% saved)

regimes41.0ms (0.3%)

Memory
8.5MiB live, 47.0MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t))))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Calls

3 calls:

14.0ms
t
12.0ms
y
12.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
69.4%4(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
64.3%2t
71.0%2y
Compiler

Compiled 29 to 20 computations (31% saved)

regimes13.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
70.5%2y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-33.6MiB live, 5.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
68.5%2y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
Calls

4 calls:

3.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
62.6%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
62.0%3x
66.8%3z
57.3%1y
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
Calls

5 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
26.6%1y
26.6%1x
26.6%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
26.6%1t
26.6%1z
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes69.0ms (0.5%)

Memory
-27.2MiB live, 11.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
Calls

5 calls:

62.0ms
y
2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
x
2.0ms
z
2.0ms
t
Results
AccuracySegmentsBranch
20.6%2y
23.9%3x
23.0%3t
19.1%2(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
16.9%1z
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes6.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Calls

4 calls:

1.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.0ms
x
1.0ms
t
1.0ms
y
Results
AccuracySegmentsBranch
16.9%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
16.9%1y
16.9%1t
16.9%1x
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch62.0ms (0.5%)

Memory
-4.3MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
2.0892176337042857e+52
1.5973530935099134e+61
18.0ms
-3.5877608909448475e+137
-1.7631106756246138e+124
Samples
21.0ms295×0valid
2.0ms1valid
Compiler

Compiled 816 to 482 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 4.0ms (27.1% of total)
ival-mult: 4.0ms (27.1% of total)
ival-tanh: 3.0ms (20.3% of total)
ival-sub: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
2.8692543195351036e-109
8.395327455531495e-109
Samples
6.0ms77×0valid
0.0ms1valid
Compiler

Compiled 252 to 154 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25.7% of total)
ival-mult: 1.0ms (25.7% of total)
ival-tanh: 1.0ms (25.7% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
-9.7MiB live, 28.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
16932720.460713223
2147147934736774.0
Samples
23.0ms142×0valid
0.0ms1valid
Compiler

Compiled 373 to 226 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 15.0ms (74.9% of total)
ival-div: 2.0ms (10% of total)
ival-add: 1.0ms (5% of total)
ival-sub: 1.0ms (5% of total)
ival-tanh: 1.0ms (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
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
16932720.460713223
2147147934736774.0
Compiler

Compiled 310 to 199 computations (35.8% saved)

bsearch6.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
1.3052640748688832e-103
1.8057416993821405e-103
Samples
3.0ms46×0valid
0.0ms1valid
Compiler

Compiled 103 to 64 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (44.5% of total)
ival-mult: 1.0ms (44.5% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-tanh: 0.0ms (0% of total)

bsearch6.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
16932720.460713223
2147147934736774.0
Samples
3.0ms47×0valid
0.0ms1valid
Compiler

Compiled 238 to 145 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (45.9% of total)
ival-mult: 1.0ms (45.9% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-tanh: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
-11.5MiB live, 26.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.2253322962849672e+39
4.690812526263485e+39
38.0ms
-1354376689733.9934
-0.5293978204163171
Samples
17.0ms239×0valid
0.0ms1valid
Compiler

Compiled 382 to 229 computations (40.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (26.7% of total)
ival-mult: 3.0ms (26.7% of total)
ival-tanh: 2.0ms (17.8% of total)
ival-add: 1.0ms (8.9% of total)
ival-sub: 1.0ms (8.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Memory
-13.3MiB live, 24.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.450095433801921e-78
2.32008063183785e-76
17.0ms
-7.682259430107017e-105
-8.332814809743097e-116
Samples
18.0ms256×0valid
2.0ms16×1valid
Compiler

Compiled 396 to 240 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (30.1% of total)
ival-mult: 4.0ms (30.1% of total)
ival-tanh: 3.0ms (22.6% of total)
ival-add: 1.0ms (7.5% of total)
ival-sub: 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)

simplify16.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative_binary64
40×+-commutative_binary64
34×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0124757
1156756
2186756
3212756
4230753
5238753
6241753
7242753
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 x #s(literal -22000000000000000977458448324536620172201027540423916812427426166274727591633334701343704991143445061876539476041369105989632 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 x #s(literal 135000000000000005655680576282141506300094309169892803215360 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))))
(if (<=.f64 y #s(literal 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x))
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 66000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 z #s(literal -1050000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
(if (<=.f64 x #s(literal -6817139678149439/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) (if (<=.f64 x #s(literal 2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(if (<=.f64 x #s(literal -22000000000000000977458448324536620172201027540423916812427426166274727591633334701343704991143445061876539476041369105989632 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 x #s(literal 135000000000000005655680576282141506300094309169892803215360 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x))))
(if (<=.f64 x #s(literal -22000000000000000977458448324536620172201027540423916812427426166274727591633334701343704991143445061876539476041369105989632 binary64)) (fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) (if (<=.f64 x #s(literal 135000000000000005655680576282141506300094309169892803215360 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (/.f64 (*.f64 t t) x)) x))) x))) x))))
(if (<=.f64 y #s(literal 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x))
(if (<=.f64 y #s(literal 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (/.f64 (*.f64 t t) x)) x))) x))) x)) (fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x))
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (/.f64 (*.f64 t t) x)) x))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 66000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 z #s(literal -1050000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
(if (<=.f64 x #s(literal -6817139678149439/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) (if (<=.f64 x #s(literal 2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))))
(if (<=.f64 x #s(literal -6817139678149439/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) (if (<=.f64 x #s(literal 2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z)))

soundness1.5s (11.2%)

Memory
18.1MiB live, 1 140.0MiB allocated
Rules
11 446×lower-fma.f64
11 446×lower-fma.f32
9 934×lower-fma.f64
9 934×lower-fma.f32
8 122×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092435485
1307631081
0860130173
0103531403
1351027975
0842927067
01244
02044
19944
287144
0820843
04399242
114846963
261596572
092156439
0117627599
1395424613
0956123792
053467
092461
1385421
23616421
09180396
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 744 to 353 computations (52.6% saved)

preprocess233.0ms (1.8%)

Memory
-6.8MiB live, 193.0MiB allocated
Remove

(abs y)

Compiler

Compiled 740 to 260 computations (64.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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