SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 11.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze94.0ms (0.9%)

Memory
3.1MiB live, 84.1MiB 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)

sample1.1s (10.3%)

Memory
64.3MiB live, 1 422.5MiB allocated
Samples
694.0ms8 055×0valid
32.0ms201×1valid
Precisions
Click to see histograms. Total time spent on operations: 480.0ms
ival-div: 150.0ms (31.3% of total)
ival-tanh: 129.0ms (26.9% of total)
ival-mult: 111.0ms (23.1% of total)
ival-sub: 39.0ms (8.1% of total)
ival-add: 36.0ms (7.5% of total)
ival-true: 7.0ms (1.5% of total)
adjust: 4.0ms (0.8% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain185.0ms (1.7%)

Memory
-47.7MiB live, 212.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-1(7.961698808048705e-31 -1.662038575963364e+282 3.1205616611029857e-260 -1.3974342335592338e-100)(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
10-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-(/.f64 x y)
00-0-(/.f64 t y)
00-0-t
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-(tanh.f64 (/.f64 x y))
00-0-z
00-0-(tanh.f64 (/.f64 t y))
00-0-y
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*o80
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u80
(*.f64 y z)overflow32
(/.f64 t y)underflow27
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow43
(tanh.f64 (/.f64 x y))underflow32
(/.f64 x y)underflow32
(tanh.f64 (/.f64 t y))underflow27
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*u10
Confusion
Predicted +Predicted -
+170
-0239
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1700
-00239
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0239
117
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms446×0valid
41.0ms58×2valid
1.0ms1valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 10.0ms (32.2% of total)
ival-mult: 7.0ms (22.5% of total)
ival-tanh: 6.0ms (19.3% of total)
ival-sub: 3.0ms (9.6% of total)
ival-add: 3.0ms (9.6% of total)
adjust: 2.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess376.0ms (3.4%)

Memory
-14.5MiB live, 174.7MiB 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 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.5%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify140.0ms (1.3%)

Memory
35.1MiB live, 188.8MiB 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)

localize49.0ms (0.4%)

Memory
-10.9MiB live, 64.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy0.01171875
(tanh.f64 (/.f64 x y))
accuracy0.24204536603389146
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy4.455564761503264
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
30.0ms223×0valid
10.0ms29×2valid
1.0ms1valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 15.0ms (49.6% of total)
ival-div: 8.0ms (26.4% of total)
ival-tanh: 3.0ms (9.9% of total)
adjust: 1.0ms (3.3% of total)
ival-sub: 1.0ms (3.3% of total)
ival-add: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory
-15.2MiB live, 72.2MiB 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>) () ())) ())
#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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Calls

12 calls:

TimeVariablePointExpression
14.0ms
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)))
10.0ms
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)))
6.0ms
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)))
4.0ms
t
@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)))
3.0ms
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)))

simplify292.0ms (2.7%)

Memory
13.7MiB live, 244.1MiB 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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(* 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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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))))

rewrite218.0ms (2%)

Memory
24.6MiB live, 299.1MiB 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 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #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))) (pow.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #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 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal -1 binary64)))
(*.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))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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)))) (fma.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))))))))
(/.f64 (neg.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))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x))))
(/.f64 (neg.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))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (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 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (-.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 x)) (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)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) 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 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 3 binary64)) (pow.f64 x #s(literal 3 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 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (-.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) (/.f64 (+.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 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)))
(neg.f64 (/.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 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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))))
(neg.f64 (/.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))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
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(fma.f64 (exp.f64 (/.f64 x y)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(tanh.f64 (/.f64 t y))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))))
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.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 (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 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (neg.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 (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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (/.f64 (neg.f64 t) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))
(/.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) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (pow.f64 (exp.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) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (+.f64 (pow.f64 (exp.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 (pow.f64 (exp.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) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.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 (pow.f64 (exp.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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (/.f64 t y)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #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 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #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))))))

eval116.0ms (1.1%)

Memory
-0.8MiB live, 161.5MiB allocated
Compiler

Compiled 22 453 to 2 018 computations (91% saved)

prune60.0ms (0.5%)

Memory
-26.2MiB live, 65.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5048512
Fresh000
Picked101
Done000
Total5058513
Accuracy
100.0%
Counts
513 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.6%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
89.4%
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
65.6%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
64.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
50.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
60.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
60.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
4.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y)))
Compiler

Compiled 232 to 176 computations (24.1% saved)

simplify201.0ms (1.8%)

Memory
17.3MiB live, 174.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))
cost-diff0
(*.f64 (/.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 z y))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y)))
cost-diff22656
(/.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))))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
cost-diff0
(-.f64 t x)
cost-diff0
(fma.f64 (-.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))) z)
cost-diff0
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
Rules
11 962×lower-fma.f32
11 958×lower-fma.f64
5 184×lower-+.f32
5 178×lower-+.f64
3 582×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041361
069308
1151308
2320308
3770308
42520308
08541306
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))) z) y x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
(-.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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y)))
(*.f64 (/.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 z y))
(/.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 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))
(exp.f64 (/.f64 t y))
(/.f64 t y)
t
y
(exp.f64 (/.f64 (neg.f64 t) y))
(/.f64 (neg.f64 t) y)
(neg.f64 t)
(+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))
(*.f64 z y)
z
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y 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))) z)
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z y) (tanh.f64 (/.f64 t y))))
(*.f64 (/.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 z y))
(*.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)))
(/.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))))
(tanh.f64 (/.f64 t y))
(-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))
(exp.f64 (/.f64 t y))
(/.f64 t y)
t
y
(exp.f64 (/.f64 (neg.f64 t) y))
(/.f64 (neg.f64 t) y)
(neg.f64 t)
(+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))
(*.f64 z y)
z

localize411.0ms (3.8%)

Memory
-19.0MiB live, 138.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.7382895031524757
(/.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))))
accuracy7.373840706672866
(*.f64 (/.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 z y))
accuracy23.129129075204037
(-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))
accuracy23.944116010757316
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y)))
accuracy0.00390625
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy4.439939761503264
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
accuracy12.175024939591086
#s(approx (tanh (/ x y)) (/.f64 x y))
accuracy0.00390625
(/.f64 (-.f64 t x) y)
accuracy0.00390625
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
accuracy4.439939761503264
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy13.650248617645708
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy0
(fma.f64 (-.f64 t x) z x)
accuracy0
(-.f64 t x)
accuracy6.821360377127421
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy0.00390625
(tanh.f64 (/.f64 x y))
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy1.3497341427801104
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
accuracy1.4728458793643644
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
Samples
301.0ms51×2valid
32.0ms74×1valid
24.0ms117×0exit
3.0ms13×0valid
1.0ms3valid
Compiler

Compiled 298 to 30 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 223.0ms
ival-div: 121.0ms (54.3% of total)
ival-mult: 66.0ms (29.6% of total)
ival-exp: 11.0ms (4.9% of total)
adjust: 8.0ms (3.6% of total)
ival-add: 7.0ms (3.1% of total)
ival-sub: 5.0ms (2.2% of total)
ival-tanh: 3.0ms (1.3% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series273.0ms (2.5%)

Memory
-7.5MiB live, 104.8MiB allocated
Counts
21 → 768
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#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 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y))) #<representation binary64>) () ())
#s(alt (*.f64 (/.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 z y)) (patch (*.f64 (/.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 z y)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (patch (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x 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))) z) y x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (* 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t 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 #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x 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)) (/.f64 x y)) (patch #s(approx (tanh (/ x 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)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
31.0ms
z
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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 (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (- (exp (/ t y)) (exp (/ (neg t) y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)))
13.0ms
z
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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 (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (- (exp (/ t y)) (exp (/ (neg t) y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)))
8.0ms
x
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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 (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (- (exp (/ t y)) (exp (/ (neg t) y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)))
5.0ms
y
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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 (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (- (exp (/ t y)) (exp (/ (neg t) y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)))
5.0ms
y
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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 (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (- (exp (/ t y)) (exp (/ (neg t) y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)))

simplify502.0ms (4.6%)

Memory
32.2MiB live, 466.7MiB allocated
Algorithm
egg-herbie
Rules
11 810×lower-fma.f64
11 810×lower-fma.f32
6 220×lower-+.f64
6 220×lower-+.f32
4 476×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090937414
1303729898
0875329120
Stop Event
iter limit
node limit
Counts
768 → 744
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))))))))))
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y))
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 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))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (+ (* 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))))))
(- (+ (* 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))))))
(/ t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(* 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)))
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Outputs
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(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.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 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.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 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.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
(* -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 y) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.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))))))) (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 z y) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.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))))))) (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 z y) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.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))))))) (neg.f64 x)) (neg.f64 x) x)
(/ (- (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))))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(/ (- (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))))

rewrite358.0ms (3.3%)

Memory
-21.5MiB live, 424.1MiB allocated
Rules
5 686×lower-fma.f32
5 682×lower-fma.f64
4 784×lower-/.f32
4 774×lower-/.f64
4 196×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041290
069237
1288233
22381233
09007231
Stop Event
iter limit
node limit
iter limit
Counts
21 → 839
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
(-.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 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(/.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))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y)))
(*.f64 (/.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 z y))
(-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))
(tanh.f64 (/.f64 x y))
(/.f64 (-.f64 t x) y)
#s(approx (tanh (/ x y)) (/.f64 x 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))) (pow.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -1 binary64)))
(*.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)) (pow.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.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))) #s(literal -1 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)) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #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))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #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 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #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 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #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 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #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 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #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)) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #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))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
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(-.f64 (/.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 y))))
(-.f64 (/.f64 (*.f64 t (/.f64 y x)) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 y x))))
(-.f64 (/.f64 (*.f64 t y) (*.f64 y y)) (/.f64 (*.f64 y x) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 t t) (*.f64 y (+.f64 x t))) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x t))))
(-.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t)))))
(-.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 x t)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 x t)) y))
(-.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 x (+.f64 x t) (*.f64 t t))) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x t) (*.f64 t t))) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 t x) (neg.f64 y)))
(-.f64 (/.f64 t y) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))
(+.f64 (/.f64 t y) (/.f64 (neg.f64 x) y))
#s(approx (tanh (/ x y)) (/.f64 x y))

eval243.0ms (2.2%)

Memory
34.6MiB live, 559.7MiB allocated
Compiler

Compiled 68 661 to 4 616 computations (93.3% saved)

prune69.0ms (0.6%)

Memory
-10.9MiB live, 160.6MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1 752221 774
Fresh303
Picked415
Done000
Total1 759231 782
Accuracy
100.0%
Counts
1 782 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
95.6%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
64.0%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
50.1%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
63.2%
(+.f64 x (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (*.f64 (*.f64 z y) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))
50.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
31.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
28.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
30.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
44.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
50.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
28.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
55.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
43.4%
#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))
43.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
52.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
14.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 z y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
25.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
16.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
48.3%
#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)))
27.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
18.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
12.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
Compiler

Compiled 648 to 507 computations (21.8% saved)

simplify105.0ms (1%)

Memory
27.3MiB live, 179.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
cost-diff320
(*.f64 y #s(literal 1 binary64))
cost-diff2048
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
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
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
Rules
4 284×lower-fma.f32
4 282×lower-fma.f64
4 188×lower-*.f32
4 172×lower-*.f64
1 840×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047402
071366
1162366
2414350
31256350
45468350
08134344
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
(*.f64 z y)
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
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))
#s(approx (/ (- t x) y) (/.f64 t y))
(/.f64 t y)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
#s(literal 1 binary64)
(/.f64 y (-.f64 t x))
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))
(-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64)))
(*.f64 t (/.f64 y x))
t
(/.f64 y x)
(*.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y (/.f64 y x))
Outputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
(*.f64 z y)
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
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))
#s(approx (/ (- t x) y) (/.f64 t y))
(/.f64 t y)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
(/.f64 (-.f64 t x) y)
#s(literal 1 binary64)
(/.f64 y (-.f64 t x))
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))
(/.f64 (-.f64 t x) y)
(-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 y x) t) y)
(*.f64 t (/.f64 y x))
(*.f64 (/.f64 y x) t)
t
(/.f64 y x)
(*.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y (/.f64 y x))
(*.f64 (/.f64 y x) y)

localize167.0ms (1.5%)

Memory
-3.3MiB live, 117.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy4.455564761503264
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
accuracy6.265314528434909
(*.f64 t (/.f64 y x))
accuracy21.84117205467361
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))
accuracy41.861763232924794
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))
accuracy0.0078125
(/.f64 y (-.f64 t x))
accuracy0.3300649559684819
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
accuracy4.455564761503264
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
accuracy41.861763232924794
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))
accuracy0.00390625
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
accuracy4.455564761503264
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))
accuracy27.401798328473557
#s(approx (/ (- t x) y) (/.f64 t y))
accuracy41.861763232924794
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))
accuracy0
(*.f64 t z)
accuracy25.549094535899087
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy36.738250004241195
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy0.0078125
(tanh.f64 (/.f64 t y))
accuracy0.24204536603389146
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy4.126050427023931
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
accuracy32.34465853443494
#s(approx (tanh (/ x y)) (/.f64 x y))
Samples
76.0ms223×0valid
67.0ms29×2valid
2.0ms1valid
Compiler

Compiled 271 to 31 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 17.0ms (30.3% of total)
ival-mult: 14.0ms (25% of total)
adjust: 13.0ms (23.2% of total)
ival-sub: 4.0ms (7.1% of total)
ival-add: 4.0ms (7.1% of total)
ival-tanh: 3.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series131.0ms (1.2%)

Memory
3.7MiB live, 129.3MiB allocated
Counts
24 → 876
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- 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>) () ())
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Calls

12 calls:

TimeVariablePointExpression
35.0ms
t
@inf
((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ 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))) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x)))
5.0ms
y
@inf
((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ 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))) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x)))
4.0ms
y
@-inf
((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ 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))) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x)))
4.0ms
t
@-inf
((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ 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))) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x)))
4.0ms
x
@-inf
((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ 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))) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x)))

simplify370.0ms (3.4%)

Memory
-7.9MiB live, 275.9MiB allocated
Algorithm
egg-herbie
Rules
12 980×lower-fma.f64
12 980×lower-fma.f32
4 872×lower-*.f64
4 872×lower-*.f32
4 258×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067037824
1222328290
0860427610
Stop Event
iter limit
node limit
Counts
876 → 843
Calls
Call 1
Inputs
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(/ (* t y) x)
(*.f64 (/.f64 y x) t)
(/ (* t y) x)
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(/ (* t y) x)
(*.f64 (/.f64 y x) t)
(/ (* t y) x)
(*.f64 (/.f64 y x) t)

rewrite428.0ms (3.9%)

Memory
-2.2MiB live, 226.7MiB allocated
Rules
6 270×lower-*.f32
6 254×lower-*.f64
3 272×lower-/.f32
3 260×lower-/.f64
2 114×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047347
071297
1307297
22529297
08256291
Stop Event
iter limit
node limit
iter limit
Counts
24 → 788
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))
(*.f64 y #s(literal 1 binary64))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
#s(approx (tanh (/ x y)) (/.f64 x y))
#s(approx (/ (- t x) y) (/.f64 t y))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))
(/.f64 y (-.f64 t x))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))
(*.f64 t (/.f64 y x))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 z y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x)
(fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 1 binary64) x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x))))
(+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) (*.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal -1 binary64)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) (/.f64 (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(+.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (tanh.f64 (/.f64 t y)))
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(tanh.f64 (/.f64 t y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64))
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y
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(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 y x) t) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 t x) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 t x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 y x) t) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64)) (neg.f64 y))
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(/.f64 y (-.f64 t x))
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#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
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(*.f64 (/.f64 y x) t)
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(*.f64 t (/.f64 y x))
(pow.f64 (/.f64 x (*.f64 y t)) #s(literal -1 binary64))
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(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 y t)) (neg.f64 x))
(/.f64 (*.f64 t (neg.f64 y)) (neg.f64 x))
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eval296.0ms (2.7%)

Memory
32.4MiB live, 456.3MiB allocated
Compiler

Compiled 53 441 to 3 473 computations (93.5% saved)

prune128.0ms (1.2%)

Memory
-2.4MiB live, 238.3MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1 728191 747
Fresh41317
Picked325
Done011
Total1 735351 770
Accuracy
100.0%
Counts
1 770 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
95.6%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
64.0%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
54.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
50.1%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
63.2%
(+.f64 x (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (*.f64 (*.f64 z y) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))
31.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
15.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) (*.f64 (/.f64 y x) y)) (*.f64 y y)) (*.f64 y (*.f64 (/.f64 y x) y))))))
10.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (*.f64 y t) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) (/.f64 y (/.f64 y x)))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) y)))))
28.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
30.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
44.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
23.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
52.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
47.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
55.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
51.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 t) y (/.f64 (fma.f64 (*.f64 t y) t (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) y) x)) (neg.f64 x))) x)) (neg.f64 x)))))))
48.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
56.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y x (*.f64 x (*.f64 (/.f64 y t) x))) t) y)) t))))))
44.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
55.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
44.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
46.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
39.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
40.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
31.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
43.4%
#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))
43.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
52.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
14.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 z y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
25.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
16.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
27.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
18.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
12.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
Compiler

Compiled 1 215 to 891 computations (26.7% saved)

simplify176.0ms (1.6%)

Memory
-39.8MiB live, 215.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
cost-diff1024
(fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
cost-diff1024
(/.f64 y (*.f64 (/.f64 y x) y))
cost-diff0
(*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))
cost-diff0
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z)
cost-diff0
#s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
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
#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
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
cost-diff0
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
Rules
10 872×lower-fma.f32
10 864×lower-fma.f64
4 006×lower-+.f32
4 002×lower-+.f64
3 606×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065594
0100556
1212542
2459523
31093519
43175516
08336500
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x 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
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 (-.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
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
#s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t))
(*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z)
(*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(literal -1/3 binary64)
(*.f64 t t)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))
(-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))
(/.f64 t y)
t
(/.f64 y (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))
#s(literal 1 binary64)
#s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)
(fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y))
(/.f64 (*.f64 x x) t)
(*.f64 x x)
t
(/.f64 y t)
(fma.f64 (/.f64 y t) x y)
Outputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
(*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.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
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
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 z (fma.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y) t))))
#s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t))
#s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 z (fma.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y) t)))
(*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)
(*.f64 z (fma.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y) t))
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z)
(fma.f64 (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) z)
(*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(literal -1/3 binary64)
(*.f64 t t)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 x y))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 x y))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 x y)))
(-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 t y)
t
(/.f64 y (*.f64 (/.f64 y x) y))
(/.f64 x y)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y t) x y) t) x y) t)))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y t) x y) t) x y) t)))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y t) x y) t) x y) t))))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y t) x y) t) x y) t)))
#s(literal 1 binary64)
#s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))
#s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y t) x y) t) x y) t))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y t) x y) t) x y) t)
(fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y))
(fma.f64 (/.f64 (fma.f64 (/.f64 y t) x y) t) x y)
(/.f64 (*.f64 x x) t)
(*.f64 x x)
t
(/.f64 y t)
(fma.f64 (/.f64 y t) x y)

localize290.0ms (2.7%)

Memory
25.2MiB live, 498.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.439939761503264
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))))
accuracy5.843340705908397
(fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y))
accuracy13.650248617645708
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))
accuracy19.817181565848145
#s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))
accuracy0.0390625
(*.f64 (/.f64 y x) y)
accuracy4.439939761503264
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))
accuracy9.2347526064726
(/.f64 y (*.f64 (/.f64 y x) y))
accuracy13.650248617645708
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))
accuracy1.8873189183919783
#s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t))
accuracy4.031285185514378
(/.f64 z (*.f64 y y))
accuracy7.040486859367534
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z)
accuracy23.944116010757316
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
accuracy0
(-.f64 t x)
accuracy0
(*.f64 (-.f64 t x) z)
accuracy6.821360377127421
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
accuracy12.612433085816763
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
accuracy0.00390625
(tanh.f64 (/.f64 x y))
accuracy1.3497341427801104
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
accuracy1.4728458793643644
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy1.932568013996976
#s(approx (tanh (/ t y)) (/.f64 t y))
Samples
93.0ms74×1valid
57.0ms48×2valid
50.0ms117×0exit
18.0ms16×0valid
1.0ms3valid
Compiler

Compiled 362 to 52 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-tanh: 45.0ms (26.3% of total)
ival-mult: 40.0ms (23.4% of total)
ival-div: 32.0ms (18.7% of total)
adjust: 20.0ms (11.7% of total)
ival-exp: 11.0ms (6.4% of total)
ival-add: 11.0ms (6.4% of total)
ival-sub: 7.0ms (4.1% of total)
const: 4.0ms (2.3% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series163.0ms (1.5%)

Memory
-12.3MiB live, 238.0MiB allocated
Counts
25 → 900
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.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 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)) (patch #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) (patch (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (/.f64 y x) y)) (patch (/.f64 y (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) (patch (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))) #<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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)) (patch #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))) #<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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (* 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ 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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<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 #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 (- (+ (/ 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 #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 (- (+ (* 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 #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 (- (+ (* 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 #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 (/ t y) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.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 #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.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 #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.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 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) 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 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) 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 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) 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 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
27.0ms
y
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (+ (* (* (/ z (* y y)) -1/3) (* t t)) z) (* (/ z (* y y)) -1/3) (/ y (* (/ y x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ z (* y y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y x) y) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
8.0ms
t
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (+ (* (* (/ z (* y y)) -1/3) (* t t)) z) (* (/ z (* y y)) -1/3) (/ y (* (/ y x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ z (* y y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y x) y) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
8.0ms
x
@0
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (+ (* (* (/ z (* y y)) -1/3) (* t t)) z) (* (/ z (* y y)) -1/3) (/ y (* (/ y x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ z (* y y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y x) y) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
z
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (+ (* (* (/ z (* y y)) -1/3) (* t t)) z) (* (/ z (* y y)) -1/3) (/ y (* (/ y x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ z (* y y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y x) y) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
z
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (+ (* (* (/ z (* y y)) -1/3) (* t t)) z) (* (/ z (* y y)) -1/3) (/ y (* (/ y x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ z (* y y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y x) y) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))

simplify300.0ms (2.7%)

Memory
27.7MiB live, 415.2MiB allocated
Algorithm
egg-herbie
Rules
11 204×lower-fma.f64
11 204×lower-fma.f32
6 214×lower-+.f64
6 214×lower-+.f32
4 714×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093237343
1306830082
0863929286
Stop Event
iter limit
node limit
Counts
900 → 870
Calls
Call 1
Inputs
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(/ (- (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))))
(- (+ (/ 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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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)))))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ (+ y (/ (* t y) x)) x))
(/.f64 (fma.f64 t (/.f64 y x) y) (neg.f64 x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow t 2) y) x)) (* t y)) x))) x))
(/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) y) x) (* -1 (* (pow t 2) y))) x)) (* t y)) x))) x))
(/.f64 (-.f64 y (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 y x) (*.f64 (*.f64 t t) y)) (neg.f64 x)) (*.f64 t y)) x)) (neg.f64 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 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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)))))

rewrite248.0ms (2.3%)

Memory
-16.5MiB live, 293.5MiB allocated
Rules
4 636×lower-*.f32
4 614×lower-*.f64
3 466×lower-fma.f32
3 458×lower-fma.f64
3 382×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065469
0100435
1435419
23897419
08274403
Stop Event
iter limit
node limit
iter limit
Counts
25 → 316
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ 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)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
#s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t))
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z)
(*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (/.f64 y x) y))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))
(*.f64 y z)
(fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t)))))
(tanh.f64 (/.f64 x y))
(/.f64 z (*.f64 y y))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))
(*.f64 (/.f64 y x) y)
#s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 z y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(fma.f64 z (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(fma.f64 y (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(+.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(+.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 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))) z)
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) z) (+.f64 (tanh.f64 (/.f64 x y)) #s(approx (tanh (/ t y)) (/.f64 t y))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) z) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) #s(approx (tanh (/ t y)) (/.f64 t y))) (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 2 binary64))))
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(/.f64 y (/.f64 x y))
(*.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t)) #s(literal 1 binary64))
#s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t))
(/.f64 (neg.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t))) #s(literal -1 binary64))
(/.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t))) #s(literal -1 binary64))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (pow.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) (fma.f64 (/.f64 x t) x x) y) t)) #s(literal -1 binary64)))

eval215.0ms (2%)

Memory
25.3MiB live, 390.6MiB allocated
Compiler

Compiled 43 794 to 2 773 computations (93.7% saved)

prune367.0ms (3.3%)

Memory
-47.1MiB live, 183.4MiB allocated
Pruning

39 alts after pruning (32 fresh and 7 done)

PrunedKeptTotal
New1 20571 212
Fresh22527
Picked145
Done033
Total1 208391 247
Accuracy
100.0%
Counts
1 247 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
95.6%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
64.0%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
54.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
50.1%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
63.2%
(+.f64 x (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (*.f64 (*.f64 z y) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))
31.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
15.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) (*.f64 (/.f64 y x) y)) (*.f64 y y)) (*.f64 y (*.f64 (/.f64 y x) y))))))
10.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (*.f64 y t) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) (/.f64 y (/.f64 y x)))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) y)))))
28.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
30.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
44.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
23.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
47.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
55.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
51.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 t) y (/.f64 (fma.f64 (*.f64 t y) t (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) y) x)) (neg.f64 x))) x)) (neg.f64 x)))))))
47.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
44.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
38.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
33.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
60.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
39.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
55.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
44.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
46.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
39.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
40.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
31.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
43.4%
#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))
43.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
52.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
14.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 z y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
25.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
16.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
22.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
27.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
12.8%
#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)))
18.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
12.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
Compiler

Compiled 1 712 to 874 computations (48.9% saved)

regimes112.0ms (1%)

Memory
11.6MiB live, 234.5MiB allocated
Counts
57 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y x (*.f64 x (*.f64 (/.f64 y t) x))) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (*.f64 y t) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) (/.f64 y (/.f64 y x)))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) (*.f64 (/.f64 y x) y)) (*.f64 y y)) (*.f64 y (*.f64 (/.f64 y x) y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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)))))
(+.f64 x (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (*.f64 (*.f64 z y) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 t) y (/.f64 (fma.f64 (*.f64 t y) t (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) y) x)) (neg.f64 x))) x)) (neg.f64 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)))))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 z y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (/.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 z y)))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y 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:

30.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
26.0ms
y
17.0ms
t
17.0ms
x
17.0ms
z
Results
AccuracySegmentsBranch
95.6%1x
98.4%2y
95.6%1z
95.6%1t
98.7%2(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes148.0ms (1.3%)

Memory
20.8MiB live, 254.2MiB allocated
Counts
52 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y x (*.f64 x (*.f64 (/.f64 y t) x))) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (*.f64 y t) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) (/.f64 y (/.f64 y x)))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) (*.f64 (/.f64 y x) y)) (*.f64 y y)) (*.f64 y (*.f64 (/.f64 y x) y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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)))))
(+.f64 x (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (*.f64 (*.f64 z y) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 t) y (/.f64 (fma.f64 (*.f64 t y) t (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) y) x)) (neg.f64 x))) x)) (neg.f64 x)))))))
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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (*.f64 (*.f64 z y) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
#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:

71.0ms
t
21.0ms
x
20.0ms
y
18.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
14.0ms
z
Results
AccuracySegmentsBranch
80.0%3x
74.3%3z
78.3%3t
76.5%3y
83.5%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes27.0ms (0.2%)

Memory
-53.4MiB live, 39.3MiB allocated
Counts
50 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y x (*.f64 x (*.f64 (/.f64 y t) x))) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (*.f64 y t) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) (/.f64 y (/.f64 y x)))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) (*.f64 (/.f64 y x) y)) (*.f64 y y)) (*.f64 y (*.f64 (/.f64 y x) y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Calls

1 calls:

24.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
83.5%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes72.0ms (0.7%)

Memory
10.3MiB live, 123.9MiB allocated
Counts
47 → 6
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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y x (*.f64 x (*.f64 (/.f64 y t) x))) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (*.f64 y t) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) (/.f64 y (/.f64 y x)))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) (*.f64 (/.f64 y x) y)) (*.f64 y y)) (*.f64 y (*.f64 (/.f64 y x) y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
#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:

15.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
14.0ms
x
14.0ms
y
13.0ms
t
13.0ms
z
Results
AccuracySegmentsBranch
70.9%3z
74.0%3y
71.7%4t
71.7%4x
78.8%6(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes33.0ms (0.3%)

Memory
-33.1MiB live, 50.0MiB allocated
Counts
46 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y x (*.f64 x (*.f64 (/.f64 y t) x))) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) t) (/.f64 y t) (fma.f64 (/.f64 y t) x y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (*.f64 y t) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) (/.f64 y (/.f64 y x)))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) (*.f64 (/.f64 y x) y)) (*.f64 y y)) (*.f64 y (*.f64 (/.f64 y x) y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y))
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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) 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:

15.0ms
y
13.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
71.6%2y
76.9%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes49.0ms (0.4%)

Memory
3.8MiB live, 41.9MiB 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
Outputs
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

2 calls:

35.0ms
y
11.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
71.6%2y
76.2%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes74.0ms (0.7%)

Memory
6.6MiB live, 85.9MiB allocated
Counts
38 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y x) t y) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (/.f64 y x) y) (/.f64 t (/.f64 y x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (/.f64 (*.f64 (/.f64 y x) t) (/.f64 y x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) t) y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (*.f64 (/.f64 (*.f64 x x) t) (/.f64 y t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (*.f64 y (fma.f64 t x (*.f64 x x))) (*.f64 t t))) t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y) (/.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (/.f64 (fma.f64 (*.f64 y (+.f64 x t)) t (*.f64 (*.f64 x x) y)) (*.f64 t t))) t))))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (/.f64 y t) x y) t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

5 calls:

24.0ms
z
15.0ms
x
11.0ms
t
11.0ms
y
11.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
65.5%3x
63.7%3t
65.9%4z
71.0%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
68.6%3y
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes9.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
25 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (/.f64 (*.f64 (/.f64 y x) t) (*.f64 y y)) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
67.9%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes10.0ms (0.1%)

Memory
-19.9MiB live, 17.8MiB allocated
Counts
24 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (fma.f64 t t (*.f64 (neg.f64 x) x)) z) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (* (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (* z y)) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 t t) z) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 y) x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y t) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) y) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
67.9%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
9 → 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (/ (- (exp (/ t y)) (exp (/ (neg t) y))) (+ (exp (/ (neg t) y)) (exp (/ t y)))) (/.f64 t y)) (*.f64 z y)))
#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)
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

2 calls:

4.0ms
y
4.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
66.0%4(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
66.2%2y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes14.0ms (0.1%)

Memory
-2.8MiB live, 33.9MiB 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) 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
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
z
2.0ms
t
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
52.2%1t
62.9%3z
57.9%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
57.6%3x
55.0%2y
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes28.0ms (0.3%)

Memory
-12.1MiB live, 25.2MiB 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:

19.0ms
t
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
Results
AccuracySegmentsBranch
27.9%1t
27.9%1y
27.9%1x
27.9%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
27.9%1z
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes8.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB 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
(+.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
x
1.0ms
z
Results
AccuracySegmentsBranch
20.4%2(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
22.8%3x
18.8%1z
24.2%3t
18.8%1y
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes6.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB 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
z
1.0ms
t
1.0ms
x
Results
AccuracySegmentsBranch
18.8%1z
18.8%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
18.8%1x
18.8%1t
Compiler

Compiled 18 to 24 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.767864865039376e+305
+inf
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.767864865039376e+305
+inf
0.0ms
1.6808642242729356e+110
2.1650956894363813e+110
0.0ms
-2.3357055835167344e+84
-9.281495737558901e+82
0.0ms
-inf
-1.9213329870222155e+291
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.767864865039376e+305
+inf
0.0ms
1.6808642242729356e+110
2.1650956894363813e+110
0.0ms
-2.3357055835167344e+84
-9.281495737558901e+82
0.0ms
-inf
-1.9213329870222155e+291
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.767864865039376e+305
+inf
0.0ms
1.4922455898931224e+135
1.844390352438875e+138
0.0ms
1.6590049534904149e-21
2.801481667130886e-15
0.0ms
-1.7847886992191644e+31
-1.366421380555522e+27
0.0ms
-inf
-1.9213329870222155e+291
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.767864865039376e+305
+inf
0.0ms
1.6590049534904149e-21
2.801481667130886e-15
0.0ms
-1.7847886992191644e+31
-1.366421380555522e+27
0.0ms
-inf
-1.9213329870222155e+291
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch38.0ms (0.4%)

Memory
-14.1MiB live, 33.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
8.27087557416098e+47
1.5859577747345276e+54
Samples
10.0ms140×0valid
1.0ms1valid
Compiler

Compiled 324 to 271 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.1% of total)
ival-mult: 2.0ms (28.1% of total)
ival-tanh: 2.0ms (28.1% of total)
ival-sub: 1.0ms (14% of total)
ival-add: 1.0ms (14% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory
-4.2MiB live, 70.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.250932786821636
1471.3640364790672
19.0ms
8.896508176197528e-222
3.654335408689107e-214
Samples
24.0ms269×0valid
0.0ms1valid
Compiler

Compiled 443 to 419 computations (5.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.6% of total)
ival-mult: 4.0ms (31.6% of total)
ival-tanh: 2.0ms (15.8% 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)

bsearch35.0ms (0.3%)

Memory
-29.5MiB live, 61.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
906341.6014809633
101494833.87449951
15.0ms
2.2196332837762283e-105
5.348123921528817e-104
Samples
18.0ms213×0valid
2.0ms11×1valid
Compiler

Compiled 382 to 348 computations (8.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (27.8% of total)
ival-mult: 3.0ms (27.8% of total)
ival-tanh: 2.0ms (18.5% of total)
ival-sub: 1.0ms (9.3% of total)
ival-add: 1.0ms (9.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
906341.6014809633
101494833.87449951
16.0ms
1.7784316941139512e-209
5.232723076240481e-202
Samples
10.0ms138×0valid
1.0ms1valid
Compiler

Compiled 306 to 332 computations (-8.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.9% of total)
ival-mult: 2.0ms (29.9% of total)
ival-add: 1.0ms (15% of total)
ival-sub: 1.0ms (15% of total)
ival-tanh: 1.0ms (15% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
2.819052099134842e-92
4.1593484365910245e-91
Samples
7.0ms94×0valid
0.0ms1valid
Compiler

Compiled 102 to 121 computations (-18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (23.2% of total)
ival-mult: 1.0ms (23.2% of total)
ival-tanh: 1.0ms (23.2% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch79.0ms (0.7%)

Memory
-15.7MiB live, 60.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2042100.481711831
14666375997931.637
58.0ms
-1004836647297.6106
-2.8608696591402085e-5
Samples
22.0ms304×0valid
Compiler

Compiled 284 to 361 computations (-27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (29.5% of total)
ival-mult: 4.0ms (29.5% of total)
ival-tanh: 3.0ms (22.1% of total)
ival-sub: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
13.8MiB live, 50.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
6.317659167031588e-9
2.2646430702790427e-7
14.0ms
-4.599672391621398e-158
-1.0095954793667997e-162
Samples
27.0ms237×0valid
0.0ms1valid
Compiler

Compiled 198 to 289 computations (-46% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 14.0ms (66.2% of total)
ival-mult: 3.0ms (14.2% of total)
ival-tanh: 2.0ms (9.5% of total)
ival-add: 1.0ms (4.7% of total)
ival-sub: 1.0ms (4.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify98.0ms (0.9%)

Memory
-0.9MiB live, 77.6MiB allocated
Algorithm
egg-herbie
Rules
606×distribute-lft-neg-in-binary64-*.f64-neg.f64
526×unsub-neg-binary64--.f64-neg.f64-+.f64
398×neg-mul-1-binary64-*.f64-neg.f64
316×neg-sub0-binary64--.f64-neg.f64
288×cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01721837
12241835
22561835
32981835
43461835
53991835
65121835
77341835
88851835
99971835
1012041835
1114551835
1217071835
1319391835
1420421835
1520801835
1620901835
1720931835
1820941835
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #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 -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 -2000000000000000115533219796231793404874534254192128274196083726469424668033849229312 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t)))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) (+.f64 x (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (*.f64 (*.f64 z y) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) 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 (+.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 -2000000000000000115533219796231793404874534254192128274196083726469424668033849229312 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t)))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) 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 (+.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 -9999999999999999635896294965248 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t)))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 5316911983139663/2658455991569831745807614120560689152 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x))))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) 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 (+.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 -9999999999999999635896294965248 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t)))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 5316911983139663/2658455991569831745807614120560689152 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 y x) t) (*.f64 t y))) x)) (neg.f64 x))))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (+ (* (/ (* x x) t) (/ y t)) (+ (* (/ y t) x) y)) (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Outputs
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#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 -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 4835703278458517/302231454903657293676544 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)))

soundness1.5s (13.9%)

Memory
-8.1MiB live, 989.9MiB allocated
Rules
13 018×lower-fma.f64
13 018×lower-fma.f32
12 980×lower-fma.f64
12 980×lower-fma.f32
11 810×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067037824
1222328290
0860427610
01248
02048
19948
287148
0820847
047347
071297
1307297
22529297
08256291
041290
069237
1288233
22381233
09007231
093237343
1306830082
0863929286
049510076
116787475
270017473
080257285
090937414
1303729898
0875329120
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 467 to 661 computations (54.9% saved)

preprocess297.0ms (2.7%)

Memory
11.3MiB live, 166.7MiB allocated
Remove

(abs y)

Compiler

Compiled 2 046 to 396 computations (80.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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