SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 11.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze102.0ms (0.9%)

Memory
4.3MiB live, 84.6MiB 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 (14.9%)

Memory
-6.1MiB live, 1 545.9MiB allocated
Samples
948.0ms8 027×0valid
47.0ms229×1valid
Precisions
Click to see histograms. Total time spent on operations: 443.0ms
ival-div: 142.0ms (32% of total)
ival-mult: 125.0ms (28.2% of total)
ival-tanh: 83.0ms (18.7% of total)
ival-sub: 40.0ms (9% of total)
ival-add: 38.0ms (8.6% of total)
adjust: 6.0ms (1.4% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain188.0ms (1.7%)

Memory
-18.3MiB live, 242.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
171(-1.2681050045592582e-151 1.3645445811647623e-280 -1.8042926439755263e-44 6.469600628447247e-215)1(2.633518825293588e-45 -1.0215862444127773e+274 -5.5355380419537444e-241 4.775574817130868e-42)(*.f64 (*.f64 y z) (-.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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*o130
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u20
(*.f64 y z)overflow33
(/.f64 t y)underflow29
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow43
(tanh.f64 (/.f64 x y))underflow26
(/.f64 x y)underflow26
(tanh.f64 (/.f64 t y))underflow29
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*u10
Confusion
Predicted +Predicted -
+160
-0240
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1600
-00240
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms436×0valid
17.0ms64×2valid
2.0ms12×1valid
Compiler

Compiled 139 to 40 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 10.0ms (28.6% of total)
ival-mult: 10.0ms (28.6% of total)
ival-tanh: 6.0ms (17.1% of total)
ival-sub: 3.0ms (8.6% of total)
adjust: 3.0ms (8.6% of total)
ival-add: 3.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess211.0ms (1.9%)

Memory
0.5MiB live, 178.9MiB 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z 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
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(+.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)

simplify199.0ms (1.8%)

Memory
3.6MiB live, 202.2MiB 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
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)

localize124.0ms (1.1%)

Memory
12.5MiB live, 144.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy0.01171875
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.01171875
(tanh.f64 (/.f64 x y))
accuracy3.9528819226554828
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
54.0ms1valid
42.0ms218×0valid
13.0ms32×2valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
adjust: 55.0ms (59.7% of total)
ival-sub: 14.0ms (15.2% of total)
ival-div: 8.0ms (8.7% of total)
ival-mult: 7.0ms (7.6% of total)
ival-tanh: 5.0ms (5.4% of total)
ival-add: 3.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory
-0.2MiB live, 152.4MiB allocated
Counts
6 → 204
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 x y)) (patch (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 (+ 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 (+.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 (+ (* 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 (+.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 (+ (* 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 (+.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 (+ (* 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 (+.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 (* 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 (*.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 (+ (* 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 (*.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 (+ (* 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 (*.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 (+ (* 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 (*.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 (- (/ 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 (-.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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#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 (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 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 (-.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 (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 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 (-.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 (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t 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 inf t) (#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 inf t) (#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 inf t) (#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 inf t) (#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 (* 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 (*.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>) () ())) ())
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
12.0ms
y
@-inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y)))
7.0ms
z
@inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y)))
7.0ms
t
@0
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y)))
6.0ms
y
@inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y)))
5.0ms
z
@0
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y)))

simplify280.0ms (2.5%)

Memory
13.5MiB live, 285.9MiB allocated
Algorithm
egg-herbie
Rules
13 018×lower-fma.f64
13 018×lower-fma.f32
4 518×lower-*.f64
4 518×lower-*.f32
3 606×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049510076
116787475
270017473
080257285
Stop Event
iter limit
node limit
Counts
204 → 200
Calls
Call 1
Inputs
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x
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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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
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)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 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)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 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)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))

rewrite384.0ms (3.5%)

Memory
-1.9MiB live, 169.8MiB 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
01248
02048
19948
287148
0820847
Stop Event
iter limit
node limit
iter limit
Counts
6 → 312
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 x y))
(tanh.f64 (/.f64 t y))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (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 z y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 z y))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
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(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))

eval346.0ms (3.1%)

Memory
-34.3MiB live, 84.4MiB allocated
Compiler

Compiled 22 911 to 1 945 computations (91.5% saved)

prune205.0ms (1.9%)

Memory
13.5MiB live, 173.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New50210512
Fresh000
Picked101
Done000
Total50310513
Accuracy
100.0%
Counts
513 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
98.5%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
44.4%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
63.7%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
64.6%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
45.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
22.8%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
21.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
60.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
25.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t x)))
Compiler

Compiled 556 to 302 computations (45.7% saved)

simplify133.0ms (1.2%)

Memory
29.3MiB live, 220.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
cost-diff320
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))
cost-diff0
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
cost-diff128
(neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))
cost-diff384
(fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)))
cost-diff384
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)
cost-diff1152
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
cost-diff0
(-.f64 t x)
cost-diff0
(fma.f64 (-.f64 t x) z x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z 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
7 648×lower-fma.f32
7 638×lower-fma.f64
6 040×lower-*.f32
6 008×lower-*.f64
1 698×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060684
0106679
1219595
2512542
31528532
45296532
08655512
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 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
(neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))
(fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))
(neg.f64 z)
z
(-.f64 t x)
t
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)
(fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)))
#s(literal 0 binary64)
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1/6 binary64)
(*.f64 (*.f64 x x) x)
(/.f64 z y)
y
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y)))
(/.f64 x (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(/.f64 x y)
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 z y) (-.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 (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 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 (-.f64 t x) z))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 (-.f64 t x) z)))
(neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))
(fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 (-.f64 t x) z))
(fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))
(fma.f64 (-.f64 x t) z (*.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))))
(neg.f64 z)
z
(-.f64 t x)
t
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)
(*.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))))
(fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) y) z)
#s(literal 0 binary64)
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) y) z)
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 (*.f64 x x) x)
(/.f64 z y)
y
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y))))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))
#s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))
(*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y)))
(*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x)
(/.f64 x (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(/.f64 x y)

localize243.0ms (2.2%)

Memory
-24.5MiB live, 373.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy4.371136560729819
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y)))
accuracy5.919907234956825
(/.f64 x (*.f64 (*.f64 y y) y))
accuracy9.355429181562732
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))
accuracy30.915469641152065
#s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))
accuracy0.01171875
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.01171875
(tanh.f64 (/.f64 x y))
accuracy3.9528819226554828
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
accuracy31.215617094863354
#s(approx (tanh (/ t y)) (/.f64 t y))
accuracy4.341306072750451
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)
accuracy10.124751826655725
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))
accuracy20.667869669849882
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
accuracy42.10508731856283
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
accuracy0
(fma.f64 (-.f64 t x) z x)
accuracy0
(-.f64 t x)
accuracy25.58060264491775
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy0.01171875
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.01171875
(tanh.f64 (/.f64 x y))
accuracy1.5694729874156887
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
Samples
127.0ms218×0valid
29.0ms32×2valid
4.0ms1valid
Compiler

Compiled 533 to 51 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 37.0ms (34.1% of total)
const: 34.0ms (31.4% of total)
ival-div: 13.0ms (12% of total)
ival-add: 9.0ms (8.3% of total)
adjust: 5.0ms (4.6% of total)
ival-sub: 4.0ms (3.7% of total)
ival-tanh: 4.0ms (3.7% of total)
ival-neg: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series205.0ms (1.9%)

Memory
18.0MiB live, 290.9MiB allocated
Counts
25 → 912
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 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) (patch (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) (patch (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) (patch (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) (patch (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<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)) (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>) () ())) ())
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#s(alt (* 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 x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())) ())
#s(alt (* 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 x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())) ())
#s(alt (* 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 x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (* (pow x 3) z) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
34.0ms
y
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y))))
33.0ms
z
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y))))
22.0ms
t
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y))))
9.0ms
x
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y))))
6.0ms
x
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y))))

simplify300.0ms (2.7%)

Memory
25.5MiB live, 450.4MiB allocated
Algorithm
egg-herbie
Rules
14 070×lower-fma.f64
14 070×lower-fma.f32
5 390×lower-+.f64
5 390×lower-+.f32
5 330×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079437534
1265928528
0906827731
Stop Event
iter limit
node limit
Counts
912 → 892
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))))))))))
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(- (/ 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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(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
x
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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)))
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(/ x (pow y 3))
(/ (pow x 2) (pow y 3))
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(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
Outputs
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(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
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(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
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(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
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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)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
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(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 (*.f64 y y) y))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))))
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)))
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(* -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)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* -1/3 (/ (* (pow x 3) z) y))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) z) x) y) #s(literal -1/3 binary64))
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 y x) (*.f64 x x))) #s(literal -1/3 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 y x) (*.f64 x x))) #s(literal -1/3 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 y x) (*.f64 x x))) #s(literal -1/3 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ x (pow y 3))
(/.f64 x (*.f64 (*.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (*.f64 (*.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (*.f64 (*.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (*.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))

rewrite251.0ms (2.3%)

Memory
-40.1MiB live, 415.6MiB allocated
Rules
4 184×lower-*.f32
4 152×lower-*.f64
3 812×lower-/.f32
3 806×lower-fma.f32
3 802×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059446
0104401
1410389
23378389
08667375
Stop Event
iter limit
node limit
iter limit
Counts
25 → 730
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 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)
(fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)))
(neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))
(tanh.f64 (/.f64 x y))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))
#s(approx (tanh (/ t y)) (/.f64 t y))
#s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))
(/.f64 x (*.f64 (*.f64 y y) y))
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y)))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.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 (neg.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))) y)) (neg.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (neg.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))) y)) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.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))) y) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
(/.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))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))))
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))))
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#s(approx (tanh (/ t y)) (/.f64 t y))
#s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))
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eval259.0ms (2.3%)

Memory
50.5MiB live, 422.4MiB allocated
Compiler

Compiled 82 693 to 4 656 computations (94.4% saved)

prune247.0ms (2.2%)

Memory
0.0MiB live, 448.4MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1 770211 791
Fresh325
Picked325
Done000
Total1 776251 801
Accuracy
100.0%
Counts
1 801 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
64.6%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
98.5%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
68.3%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
48.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
50.2%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
59.3%
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
41.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))
63.7%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
45.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
21.5%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
22.0%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
15.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
27.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
41.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
60.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
41.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
30.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
30.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
57.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
49.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
48.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
46.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
26.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
18.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 959 to 499 computations (48% saved)

simplify163.0ms (1.5%)

Memory
-22.2MiB live, 132.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
cost-diff320
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))
cost-diff0
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
cost-diff0
(/.f64 (-.f64 t x) y)
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff0
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
cost-diff0
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
cost-diff0
(*.f64 t z)
cost-diff0
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
cost-diff0
(/.f64 t y)
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
cost-diff320
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
Rules
6 004×lower-fma.f32
5 996×lower-fma.f64
5 570×lower-*.f32
5 548×lower-*.f64
1 646×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072674
0102658
1227579
2569543
31698543
45486542
08552527
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)
(neg.f64 (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
t
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t)
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t)))
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(literal -1/3 binary64)
(/.f64 z (*.f64 t t))
(*.f64 t t)
t
Outputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)
(*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))
(neg.f64 (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
#s(approx (+ (* (- t x) z) x) (*.f64 z t))
(*.f64 t z)
(*.f64 z t)
t
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y))))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y)))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y))))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))
(*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t)))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t)))
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))
(*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t))
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t)
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t))
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 t t)))
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(literal -1/3 binary64)
(/.f64 z (*.f64 t t))
(*.f64 t t)
t

localize250.0ms (2.3%)

Memory
-29.9MiB live, 154.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy11.523237654242639
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t)
accuracy15.341339889379137
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))
accuracy27.524505637011252
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))
accuracy42.10508731856283
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))
accuracy7.303034376246913
(/.f64 z (*.f64 y y))
accuracy14.777744285444937
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))
accuracy38.134334921528854
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))
accuracy42.10508731856283
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))
accuracy0.00390625
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
accuracy0.01171875
(/.f64 (-.f64 t x) y)
accuracy1.5694729874156887
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
accuracy40.89895887476097
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy0
(*.f64 t z)
accuracy25.58060264491775
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy36.01391505060336
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy0.01171875
(tanh.f64 (/.f64 x y))
accuracy1.2876329410947556
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
accuracy6.423764522101811
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)
Samples
134.0ms218×0valid
69.0ms32×2valid
5.0ms1valid
Compiler

Compiled 382 to 62 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 41.0ms (31.9% of total)
ival-sub: 33.0ms (25.7% of total)
ival-div: 14.0ms (10.9% of total)
ival-add: 11.0ms (8.6% of total)
const: 10.0ms (7.8% of total)
ival-neg: 8.0ms (6.2% of total)
adjust: 6.0ms (4.7% of total)
ival-tanh: 3.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series290.0ms (2.6%)

Memory
32.9MiB live, 227.3MiB allocated
Counts
23 → 864
Calls
Call 1
Inputs
#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) #<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 (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) (patch (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) (patch (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) #<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 (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (patch (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 z (*.f64 y y)) (patch (/.f64 z (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#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 #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<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 #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<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 #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<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 #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
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#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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) #<representation binary64>) () ())) ())
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#s(alt (* 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 x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) #<representation binary64>) () ())) ())
#s(alt (* 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 x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (pow x 3) z) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) (taylor -inf x) (#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
36.0ms
z
@-inf
((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)))
32.0ms
y
@-inf
((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)))
16.0ms
x
@-inf
((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)))
8.0ms
t
@inf
((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)))
7.0ms
z
@0
((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)))

simplify445.0ms (4%)

Memory
-7.3MiB live, 506.5MiB allocated
Algorithm
egg-herbie
Rules
13 136×lower-fma.f64
13 136×lower-fma.f32
6 934×lower-+.f64
6 934×lower-+.f32
4 710×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091434950
1305130466
0902529682
Stop Event
iter limit
node limit
Counts
864 → 843
Calls
Call 1
Inputs
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(* 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x)))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x)))))))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x)))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x)))))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))

rewrite265.0ms (2.4%)

Memory
19.0MiB live, 322.9MiB allocated
Rules
4 510×lower-*.f32
4 488×lower-*.f64
4 236×lower-/.f32
4 226×lower-/.f64
3 932×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072600
0102532
1428507
23736507
09365493
Stop Event
iter limit
node limit
iter limit
Counts
23 → 399
Calls
Call 1
Inputs
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(tanh.f64 (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)
(tanh.f64 (/.f64 x y))
(/.f64 z (*.f64 y y))
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))))
(*.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))))
(pow.f64 (/.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) #s(literal -1 binary64))
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eval222.0ms (2%)

Memory
7.5MiB live, 408.2MiB allocated
Compiler

Compiled 49 217 to 2 380 computations (95.2% saved)

prune208.0ms (1.9%)

Memory
10.4MiB live, 489.2MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1 284141 298
Fresh10818
Picked235
Done022
Total1 296271 323
Accuracy
100.0%
Counts
1 323 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
47.5%
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
76.5%
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
68.7%
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
64.6%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
98.5%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
48.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
25.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
25.2%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
49.7%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
50.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
41.6%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
58.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
46.6%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
45.9%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
59.3%
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
63.7%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
21.7%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
15.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
49.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
61.4%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
27.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
60.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
30.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
49.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
26.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
18.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 931 to 494 computations (46.9% saved)

simplify143.0ms (1.3%)

Memory
-14.9MiB live, 208.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 t y)
cost-diff0
#s(approx (tanh (/ t y)) (/.f64 t y))
cost-diff0
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
cost-diff0
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
cost-diff384
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)
cost-diff0
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))
cost-diff0
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y)
cost-diff0
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
cost-diff0
(-.f64 t x)
cost-diff0
(*.f64 (-.f64 t x) z)
cost-diff0
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
cost-diff0
(/.f64 t y)
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))
cost-diff0
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
Rules
9 374×lower-fma.f32
9 366×lower-fma.f64
5 604×lower-*.f32
5 590×lower-*.f64
2 146×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071500
099494
1216448
2545430
31695430
45842430
08293421
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
t
x
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/3 binary64)
z
y
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
(*.f64 z y)
z
Outputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) x)
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
t
x
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x)))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x))))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y)
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) y) z) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) z) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/3 binary64)
z
y
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
(*.f64 z y)
z

localize225.0ms (2%)

Memory
22.7MiB live, 324.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.01171875
(tanh.f64 (/.f64 x y))
accuracy3.8020094559081072
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
accuracy31.215617094863354
#s(approx (tanh (/ t y)) (/.f64 t y))
accuracy4.709633440898166
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)
accuracy5.587168371816725
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z)
accuracy38.134334921528854
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))
accuracy42.10508731856283
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))
accuracy0.00390625
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
accuracy1.5694729874156887
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y)
accuracy30.574023146163913
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))
accuracy40.89895887476097
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))
accuracy0
(-.f64 t x)
accuracy0
(*.f64 (-.f64 t x) z)
accuracy22.101936977866682
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
accuracy25.58060264491775
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
accuracy0.00390625
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy1.2876329410947556
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))
accuracy30.030302755578145
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))
Samples
151.0ms218×0valid
32.0ms32×2valid
4.0ms1valid
Compiler

Compiled 302 to 59 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 85.0ms (52.4% of total)
ival-div: 41.0ms (25.3% of total)
ival-add: 12.0ms (7.4% of total)
const: 7.0ms (4.3% of total)
adjust: 6.0ms (3.7% of total)
ival-neg: 5.0ms (3.1% of total)
ival-sub: 4.0ms (2.5% of total)
ival-tanh: 3.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series170.0ms (1.5%)

Memory
-32.0MiB live, 193.6MiB allocated
Counts
22 → 792
Calls
Call 1
Inputs
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#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())
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Outputs
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Calls

12 calls:

TimeVariablePointExpression
32.0ms
z
@0
((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y)))
6.0ms
z
@-inf
((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y)))
5.0ms
y
@inf
((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y)))
5.0ms
z
@inf
((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y)))
5.0ms
y
@0
((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y)))

simplify303.0ms (2.7%)

Memory
15.3MiB live, 441.1MiB allocated
Algorithm
egg-herbie
Rules
13 296×lower-fma.f64
13 296×lower-fma.f32
6 960×lower-+.f64
6 960×lower-+.f32
4 620×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090432674
1303528340
0900827619
Stop Event
iter limit
node limit
Counts
792 → 768
Calls
Call 1
Inputs
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t
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(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x))
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(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 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)))))))))
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x)))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 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)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(- (+ (/ 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)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* 1/3 (* (pow x 3) z))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64))
(* 1/3 (* (pow x 3) z))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64))
(* 1/3 (* (pow x 3) z))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64))
(* 1/3 (* (pow x 3) z))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))

rewrite250.0ms (2.3%)

Memory
38.6MiB live, 314.2MiB allocated
Rules
4 190×lower-*.f32
4 176×lower-*.f64
3 874×lower-/.f32
3 864×lower-/.f64
3 740×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071439
0100405
1419393
23482393
08677384
Stop Event
iter limit
node limit
iter limit
Counts
22 → 341
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z)
(tanh.f64 (/.f64 x y))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))) (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (*.f64 z x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)))))
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(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (*.f64 z x)))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))
(fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x))))
(+.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) x)
(+.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))
(*.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (neg.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))))
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(tanh.f64 (/.f64 t y))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
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eval177.0ms (1.6%)

Memory
10.7MiB live, 272.6MiB allocated
Compiler

Compiled 42 938 to 1 883 computations (95.6% saved)

prune218.0ms (2%)

Memory
-28.7MiB live, 380.9MiB allocated
Pruning

32 alts after pruning (22 fresh and 10 done)

PrunedKeptTotal
New1 14491 153
Fresh41317
Picked055
Done055
Total1 148321 180
Accuracy
100.0%
Counts
1 180 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
47.5%
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
76.5%
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
68.7%
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
64.6%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
98.5%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
48.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
25.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
25.2%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
49.7%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
50.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
41.6%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
41.6%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
58.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
46.6%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
45.9%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
41.6%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x)
24.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y))))
25.3%
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))
59.3%
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
21.7%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
15.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
49.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
61.4%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
25.2%
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))))
60.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
20.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
49.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
13.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z)))
26.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
10.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
18.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 650 to 550 computations (66.7% saved)

regimes164.0ms (1.5%)

Memory
10.7MiB live, 160.3MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.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))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t x)))
Outputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
Calls

5 calls:

76.0ms
z
29.0ms
x
21.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
19.0ms
y
16.0ms
t
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%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)

regimes147.0ms (1.3%)

Memory
17.5MiB live, 138.0MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.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))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y 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:

75.0ms
y
23.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
16.0ms
z
15.0ms
t
15.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%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)

regimes103.0ms (0.9%)

Memory
-23.0MiB live, 151.4MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.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))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))
Outputs
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
Calls

5 calls:

33.0ms
x
21.0ms
t
17.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
15.0ms
z
14.0ms
y
Results
AccuracySegmentsBranch
84.9%3x
76.5%1y
81.0%3z
84.2%3t
83.2%3(+.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)

regimes25.0ms (0.2%)

Memory
-4.8MiB live, 33.8MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.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))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
Outputs
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
84.2%3x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes76.0ms (0.7%)

Memory
-7.7MiB live, 71.7MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.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))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
Outputs
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
Calls

3 calls:

15.0ms
t
12.0ms
x
12.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
76.5%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
76.5%1t
81.0%3x
Compiler

Compiled 29 to 20 computations (31% saved)

regimes69.0ms (0.6%)

Memory
2.3MiB live, 122.6MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.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))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
Outputs
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

5 calls:

15.0ms
y
15.0ms
z
14.0ms
t
12.0ms
x
11.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
67.2%2y
64.0%2t
69.8%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
63.7%2z
64.8%3x
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Calls

2 calls:

3.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
3.0ms
y
Results
AccuracySegmentsBranch
69.5%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
61.4%1y
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-9.8MiB live, 28.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Calls

5 calls:

4.0ms
x
2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
54.1%2y
55.2%3x
61.8%3z
49.9%1t
58.2%3(+.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)

regimes10.0ms (0.1%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Calls

5 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
t
Results
AccuracySegmentsBranch
26.3%1t
26.3%1x
26.3%1y
26.3%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
26.3%1z
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes9.0ms (0.1%)

Memory
-19.6MiB live, 19.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Calls

5 calls:

2.0ms
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
t
1.0ms
z
Results
AccuracySegmentsBranch
20.5%2z
20.6%2x
23.5%3t
18.9%1y
18.9%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)

regimes6.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB 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 (+ (* (- t x) z) x) (*.f64 t z)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
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
z
Results
AccuracySegmentsBranch
18.9%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
18.9%1z
18.9%1x
18.9%1t
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch60.0ms (0.5%)

Memory
-16.4MiB live, 67.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
1.883680474951007e+134
3.662258521442913e+137
19.0ms
-3.519257271574283e+87
-1.681105598136596e+76
Samples
44.0ms282×0valid
1.0ms1valid
Compiler

Compiled 706 to 415 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (29.9% of total)
ival-mult: 4.0ms (29.9% of total)
ival-tanh: 3.0ms (22.5% 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)

bsearch14.0ms (0.1%)

Memory
-13.9MiB live, 24.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.883680474951007e+134
3.662258521442913e+137
1.0ms
-3.519257271574283e+87
-1.681105598136596e+76
Samples
8.0ms95×0valid
0.0ms1valid
Compiler

Compiled 670 to 397 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (53.9% of total)
ival-mult: 1.0ms (18% of total)
ival-tanh: 1.0ms (18% of total)
ival-sub: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
21.1MiB live, 58.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
4.365421612531921e+146
1.3142632020955222e+155
14.0ms
-3.2568878210212852e+246
-1.1978460967253151e+244
Samples
19.0ms267×0valid
1.0ms1valid
Compiler

Compiled 532 to 308 computations (42.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.6% of total)
ival-mult: 3.0ms (23.7% of total)
ival-tanh: 3.0ms (23.7% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch63.0ms (0.6%)

Memory
-15.3MiB live, 22.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
61.0ms
1.928043190240524e+33
1.469235037323713e+35
Samples
49.0ms1valid
8.0ms108×0valid
Compiler

Compiled 197 to 117 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-add: 49.0ms (91.5% of total)
ival-div: 2.0ms (3.7% of total)
ival-tanh: 1.0ms (1.9% of total)
ival-mult: 1.0ms (1.9% of total)
adjust: 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)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0865601835563775e+308
+inf
0.0ms
3.045606345684401e-247
1.9303233322809632e-233
0.0ms
-2.3189078882142953e+76
-1.681105598136596e+76
0.0ms
-inf
-4.817916934974644e+306
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch65.0ms (0.6%)

Memory
-34.7MiB live, 38.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
3.9101519203555737e-16
0.06769152103693508
17.0ms
-2.5656602822196945e-5
-7.811315293363454e-24
Samples
23.0ms320×0valid
Compiler

Compiled 502 to 299 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 4.0ms (27.6% of total)
ival-mult: 4.0ms (27.6% of total)
ival-tanh: 3.0ms (20.7% of total)
ival-sub: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
33.5MiB live, 33.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.8193633303377198e-65
8.90041696912321e-64
16.0ms
-4.2137602972274315e-134
-6.45515221193439e-143
Samples
18.0ms254×0valid
0.0ms1valid
Compiler

Compiled 374 to 227 computations (39.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (25.8% of total)
ival-mult: 3.0ms (25.8% of total)
ival-tanh: 2.0ms (17.2% of total)
ival-add: 1.0ms (8.6% of total)
ival-sub: 1.0ms (8.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify21.0ms (0.2%)

Memory
-9.7MiB live, 28.6MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
24×+-commutative_binary64
20×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371022
11621022
21841022
31961022
42011022
52021022
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)))
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) (if (<=.f64 x #s(literal 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)))
(if (<=.f64 x #s(literal -58000000000000002813602438177827285447276845705275052785403244116442662198395849820129284809045032970821337694842460523581945875488248090025552304952508794691933949015045436199895584612217691553877968950522253226165612258307627892739656829108224 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) (if (<=.f64 x #s(literal 1899999999999999945416664620240839458355832829457492348032179122109838706149734328138984507535872105574357646661645271318014321272641519163278368964608 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))))))
(if (<=.f64 y #s(literal 36000000000000000346551324747235328 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal +inf.0 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))))
(if (<=.f64 z #s(literal -5902958103587057/4722366482869645213696 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 5908722711110091/144115188075855872 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
(if (<=.f64 t #s(literal -3109721077501335/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 t #s(literal 6877123763982683/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Outputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)))
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x)))
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) (if (<=.f64 x #s(literal 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))

soundness1.2s (11.2%)

Memory
32.2MiB live, 1 014.3MiB allocated
Rules
14 070×lower-fma.f64
14 070×lower-fma.f32
13 296×lower-fma.f64
13 296×lower-fma.f32
13 136×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059446
0104401
1410389
23378389
08667375
049510076
116787475
270017473
080257285
090432674
1303528340
0900827619
079437534
1265928528
0906827731
091434950
1305130466
0902529682
01248
02048
19948
287148
0820847
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 011 to 412 computations (59.2% saved)

preprocess163.0ms (1.5%)

Memory
6.6MiB live, 160.3MiB allocated
Remove

(abs y)

Compiler

Compiled 924 to 272 computations (70.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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