SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 10.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze91.0ms (0.9%)

Memory
27.9MiB live, 71.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
50%49.9%49.9%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
75%74.9%25%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
87.5%87.3%12.5%0.2%0%0%0%11
87.5%87.3%12.5%0.2%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (10.7%)

Memory
15.7MiB live, 1 179.1MiB allocated
Samples
734.0ms8 037×0valid
34.0ms219×1valid
Precisions
Click to see histograms. Total time spent on operations: 538.0ms
ival-div: 204.0ms (37.9% of total)
ival-mult: 125.0ms (23.2% of total)
ival-tanh: 118.0ms (21.9% of total)
ival-sub: 40.0ms (7.4% of total)
ival-add: 38.0ms (7.1% of total)
ival-true: 6.0ms (1.1% of total)
adjust: 4.0ms (0.7% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain171.0ms (1.6%)

Memory
3.5MiB live, 288.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
100-0-(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
00-0-(/.f64 x y)
00-0-(/.f64 t y)
00-0-t
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-(tanh.f64 (/.f64 x y))
00-0-z
00-0-(tanh.f64 (/.f64 t y))
00-0-y
00-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*o70
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u10
(*.f64 y z)overflow21
(/.f64 t y)underflow34
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow55
(tanh.f64 (/.f64 x y))underflow27
(/.f64 x y)underflow27
(tanh.f64 (/.f64 t y))underflow34
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*u10
Confusion
Predicted +Predicted -
+90
-0247
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+900
-00247
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0247
19
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms414×0valid
20.0ms84×2valid
2.0ms14×1valid
Compiler

Compiled 139 to 40 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 10.0ms (27% of total)
ival-tanh: 9.0ms (24.3% of total)
ival-mult: 7.0ms (18.9% of total)
ival-sub: 3.0ms (8.1% of total)
adjust: 3.0ms (8.1% of total)
ival-add: 3.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess405.0ms (3.8%)

Memory
-51.2MiB live, 262.5MiB allocated
Algorithm
egg-herbie
Rules
12 492×lower-fma.f64
12 492×lower-fma.f32
3 782×lower-*.f32
3 778×lower-*.f64
2 164×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify332.0ms (3.1%)

Memory
24.6MiB live, 183.3MiB 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)

localize74.0ms (0.7%)

Memory
-21.6MiB live, 55.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(tanh.f64 (/.f64 x y))
accuracy0.0078125
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy0.01171875
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy2.4487306228048586
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
45.0ms42×2valid
18.0ms207×0valid
1.0ms1valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 5.0ms (28% of total)
ival-mult: 4.0ms (22.4% of total)
ival-tanh: 3.0ms (16.8% of total)
ival-sub: 2.0ms (11.2% of total)
adjust: 2.0ms (11.2% of total)
ival-add: 2.0ms (11.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory
9.2MiB live, 102.9MiB allocated
Counts
5 → 180
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.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 (+.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 (+ 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>) () ())) ())
#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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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
9.0ms
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)))
8.0ms
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)))
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)))
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)))
3.0ms
x
@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)))

simplify215.0ms (2%)

Memory
-4.8MiB live, 189.0MiB allocated
Algorithm
egg-herbie
Rules
10 022×lower-fma.f64
10 022×lower-fma.f32
3 896×lower-*.f64
3 896×lower-*.f32
3 590×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04479354
115157627
262637212
093657079
Stop Event
iter limit
node limit
Counts
180 → 176
Calls
Call 1
Inputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(* y (* 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 (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ (* 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)))))))))
(+ (* 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)))))))))
(- (/ 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))))))
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(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))))
(* 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 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))))
(* 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 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))))
(* 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 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))

rewrite369.0ms (3.5%)

Memory
28.7MiB live, 217.5MiB allocated
Rules
5 094×lower-*.f32
5 090×lower-*.f64
4 102×lower-/.f32
4 098×lower-/.f64
2 936×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
02044
19944
287144
0820843
Stop Event
iter limit
node limit
iter limit
Counts
5 → 266
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))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 z y))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
(/.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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))))) (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)))))
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(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (exp.f64 (/.f64 (neg.f64 x) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))
(neg.f64 (neg.f64 (tanh.f64 (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))
(fma.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (*.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))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(-.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))
(+.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))))))

eval71.0ms (0.7%)

Memory
-6.8MiB live, 115.1MiB allocated
Compiler

Compiled 20 445 to 1 579 computations (92.3% saved)

prune82.0ms (0.8%)

Memory
-27.6MiB live, 138.8MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New43210442
Fresh000
Picked101
Done000
Total43310443
Accuracy
100.0%
Counts
443 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
96.6%
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
41.3%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (*.f64 y y)) x)) y)))))
69.4%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
52.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
27.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
24.7%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z))))
61.4%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
61.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
27.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y)))
Compiler

Compiled 510 to 284 computations (44.3% saved)

simplify274.0ms (2.6%)

Memory
36.1MiB live, 180.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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-diff64
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64))
cost-diff192
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))
cost-diff512
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))
cost-diff1024
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))))
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
12 510×lower-fma.f32
12 498×lower-fma.f64
5 932×lower-+.f32
5 926×lower-+.f64
4 848×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050494
086488
1176448
2387418
31007412
43219411
08101403
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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))
(-.f64 t x)
t
z
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))
#s(literal 1/6 binary64)
(*.f64 (*.f64 x x) x)
(/.f64 z y)
y
#s(literal 0 binary64)
(neg.f64 y)
(+.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)
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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) (*.f64 y y))))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) (*.f64 y y)))))
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))
(*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) (*.f64 y y))))
(-.f64 t x)
t
z
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 y y)) z)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64))
(*.f64 (/.f64 z y) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 x x) x)
(/.f64 z y)
y
#s(literal 0 binary64)
(neg.f64 y)
(+.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)

localize364.0ms (3.4%)

Memory
-10.2MiB live, 230.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
accuracy0.01171875
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy2.4487306228048586
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
accuracy30.156309828899946
#s(approx (tanh (/ x y)) (/.f64 x y))
accuracy4.597593811532197
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))
accuracy11.040475553345793
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64))
accuracy17.062390596480203
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))))
accuracy40.398218426483176
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))
accuracy0.0078125
(/.f64 (-.f64 t x) y)
accuracy0.0078125
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
accuracy2.4487306228048586
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy39.37804137773927
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy0
(-.f64 t x)
accuracy0.00390625
(fma.f64 (-.f64 t x) z x)
accuracy24.70933630752676
#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))
accuracy0.01171875
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.3047849555869142
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy1.2434936924930209
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
Samples
232.0ms207×0valid
31.0ms43×2valid
4.0ms3valid
1.0ms1valid
Compiler

Compiled 400 to 41 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-mult: 136.0ms (77.3% of total)
ival-div: 11.0ms (6.3% of total)
ival-add: 9.0ms (5.1% of total)
const: 7.0ms (4% of total)
adjust: 6.0ms (3.4% of total)
ival-sub: 3.0ms (1.7% of total)
ival-tanh: 3.0ms (1.7% 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)

series590.0ms (5.5%)

Memory
10.7MiB live, 217.3MiB allocated
Counts
22 → 852
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 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) (patch (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) #<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 (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 (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 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>) () ())) ())
#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 (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 (+ (* 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 (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 (+ (* 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 (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 (- (/ 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 (/ 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))))) (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 (+ 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))))) (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>) () ())) ())
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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>) () ())) ())
#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
167.0ms
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) (+ 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))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)))
146.0ms
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))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)))
13.0ms
z
@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) (+ 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))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x 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) (+ 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))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ 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))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)))

simplify339.0ms (3.2%)

Memory
-7.9MiB live, 532.9MiB allocated
Algorithm
egg-herbie
Rules
13 766×lower-fma.f64
13 766×lower-fma.f32
5 708×lower-+.f64
5 708×lower-+.f32
5 590×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077838443
1263529277
0885928532
Stop Event
iter limit
node limit
Counts
852 → 832
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)))
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(* -1 x)
(- t x)
(- t x)
(- t x)
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(* y (* 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 (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ (* 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)))))))))
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
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(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (+ 1/3 (* -1/3 (/ (pow t 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1/3 (/ (pow t 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1/3 (/ (pow t 3) (pow x 3))))))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2)))))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2)))))))
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(* -1/3 (/ (* (pow x 3) z) y))
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y)))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y)))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y)))))
x
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(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(* -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 t (*.f64 y x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(/ (- (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))))

rewrite232.0ms (2.2%)

Memory
23.3MiB live, 348.7MiB allocated
Rules
4 158×lower-/.f32
4 148×lower-/.f64
3 556×lower-*.f32
3 536×lower-*.f64
3 086×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049351
084321
1339321
22958321
08148314
Stop Event
iter limit
node limit
iter limit
Counts
22 → 666
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))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64))
(+.f64 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)))
(tanh.f64 (/.f64 x y))
(/.f64 (-.f64 t x) y)
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 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))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))))
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(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 x t) (-.f64 t x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x t)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))
(*.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 t x) y))
(*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 t x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 x t)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 x (+.f64 x t) (*.f64 t t))))
(/.f64 (neg.f64 (*.f64 (-.f64 t x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y)))) (neg.f64 (+.f64 (/.f64 t y) (/.f64 x y))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 y y) y)) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (/.f64 t y) (/.f64 t y) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 t y) (/.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 t x)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x t) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x)))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 t) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) x))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y t) (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 y t) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 y t) (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 y (*.f64 (/.f64 y t) x))) (neg.f64 (*.f64 (/.f64 y t) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x)))) (neg.f64 (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 (*.f64 t y) (*.f64 y x))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (neg.f64 t) (neg.f64 x))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(literal -1 binary64))) y)
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal -1 binary64))) y)
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (/.f64 (neg.f64 x) #s(literal -1 binary64))) y)
(/.f64 (-.f64 t (/.f64 (neg.f64 x) #s(literal -1 binary64))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) y)
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) y)
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (*.f64 x #s(literal 1 binary64))) y)
(/.f64 (-.f64 t (*.f64 x #s(literal 1 binary64))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) y)
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) y)
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 x))) y)
(/.f64 (-.f64 t (neg.f64 (neg.f64 x))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) x) y)
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) x) y)
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) x) y)
(/.f64 (/.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x t))
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x (+.f64 x t) (*.f64 t t)))
(/.f64 (*.f64 (-.f64 t x) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 y y) y)) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (/.f64 t y) (/.f64 t y) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 t y) (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x t) (-.f64 t x))) (neg.f64 (*.f64 y (+.f64 x t))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x))) (neg.f64 (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 t x))) y)
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(literal 1 binary64)) (*.f64 (+.f64 x t) y))
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y))
(/.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (neg.f64 t) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y t) (neg.f64 x))) (*.f64 (/.f64 y t) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x)))
(/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
(/.f64 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))
(/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))
(/.f64 (-.f64 (neg.f64 t) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 t x))))
(/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))))
(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 t x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
(/.f64 (-.f64 t x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 t x)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (/.f64 x (neg.f64 y)))
(fma.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (/.f64 x (neg.f64 y)))
(fma.f64 t (/.f64 #s(literal 1 binary64) y) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (+.f64 (/.f64 t y) (/.f64 x y))) (/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 t y) (/.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 t y) (/.f64 t y) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 t y) (/.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 t y) (/.f64 t y) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 t y) (/.f64 x y))))))
(-.f64 (/.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 (neg.f64 t) (/.f64 y x)) (*.f64 (neg.f64 y) (/.f64 y x))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
(-.f64 (/.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y t) (neg.f64 y))) (/.f64 (*.f64 (/.f64 y t) (neg.f64 x)) (*.f64 (/.f64 y t) (neg.f64 y))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) (/.f64 y x))) (/.f64 (*.f64 (/.f64 y t) #s(literal 1 binary64)) (*.f64 (/.f64 y t) (/.f64 y x))))
(-.f64 (/.f64 y (*.f64 (/.f64 y t) y)) (/.f64 (*.f64 (/.f64 y t) x) (*.f64 (/.f64 y t) y)))
(-.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 (*.f64 (*.f64 t t) t) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t)))) (/.f64 (*.f64 (*.f64 x x) x) (*.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 (*.f64 (*.f64 t t) t) (fma.f64 x (+.f64 x t) (*.f64 t t))) y) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x t) (*.f64 t t))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 (-.f64 t x)) 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 x (neg.f64 y)))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) z) (*.f64 (neg.f64 y) y))))
#s(approx (tanh (/ x y)) (/.f64 x y))

eval277.0ms (2.6%)

Memory
19.9MiB live, 402.7MiB allocated
Compiler

Compiled 70 490 to 3 822 computations (94.6% saved)

prune213.0ms (2%)

Memory
16.6MiB live, 475.9MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 638271 665
Fresh415
Picked325
Done000
Total1 645301 675
Accuracy
100.0%
Counts
1 675 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
64.4%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
52.8%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
52.4%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
57.9%
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
32.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))))
96.6%
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
38.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y))))
28.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
27.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
38.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y))))
51.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
52.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
52.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
53.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
33.2%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))))))
22.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
27.5%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
25.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
32.2%
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))
26.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x))
61.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
41.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
53.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
33.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
35.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
23.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
57.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
14.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 243 to 631 computations (49.2% saved)

simplify187.0ms (1.8%)

Memory
-45.9MiB live, 211.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 t x) z x)
cost-diff0
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x)))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
cost-diff2752
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))
cost-diff0
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
cost-diff0
(/.f64 (-.f64 t x) y)
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff0
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z)
cost-diff0
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
cost-diff0
(*.f64 t z)
cost-diff0
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff0
(*.f64 z y)
cost-diff128
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
cost-diff1088
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Rules
11 472×lower-fma.f32
11 466×lower-fma.f64
4 750×lower-*.f32
4 730×lower-*.f64
3 152×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070515
0101527
1212442
2528418
31658412
47528412
08179406
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
x
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 z y)
z
y
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
#s(literal 1 binary64)
(-.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)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
t
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))
(*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
t
#s(literal -1/3 binary64)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x)))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(fma.f64 (-.f64 t x) z (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))
#s(literal 1 binary64)
Outputs
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.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 y z) x)
x
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
y
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
#s(literal 1 binary64)
(-.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)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
t
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y))))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y)))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y))))
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y)))
(*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
t
#s(literal -1/3 binary64)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(fma.f64 (-.f64 t x) z x)
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x)))
(*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(fma.f64 (-.f64 t x) z (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))
#s(literal 1 binary64)

localize197.0ms (1.9%)

Memory
19.5MiB live, 254.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x)))
accuracy0.4808199359959947
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))
accuracy18.374349853921906
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
accuracy23.65550547993541
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
accuracy6.238326580438904
(/.f64 z (*.f64 y y))
accuracy11.096204241960699
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))
accuracy28.360025900847404
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))
accuracy31.245173017700886
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))
accuracy0.0078125
(/.f64 (-.f64 t x) y)
accuracy0.3047849555869142
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z)
accuracy1.2434936924930209
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
accuracy27.34528546981788
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy0
(*.f64 t z)
accuracy18.374349853921906
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy28.925254039487914
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy0.0078125
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
accuracy0.01171875
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.09765625
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
accuracy2.4370118728048586
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Samples
101.0ms207×0valid
48.0ms49×3exit
Compiler

Compiled 349 to 57 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 42.0ms (40.9% of total)
ival-div: 19.0ms (18.5% of total)
ival-add: 12.0ms (11.7% of total)
adjust: 11.0ms (10.7% of total)
const: 9.0ms (8.8% of total)
ival-tanh: 4.0ms (3.9% of total)
ival-sub: 3.0ms (2.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series130.0ms (1.2%)

Memory
5.0MiB live, 237.8MiB allocated
Counts
22 → 864
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (patch (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) (patch (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) (patch (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) 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 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) #<representation binary64>) () ())
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#s(alt (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) (patch (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) (patch (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 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 (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 (/.f64 z (*.f64 y y)) (patch (/.f64 z (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ())
Outputs
#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 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
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#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 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.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 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
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#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
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#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
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#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor -inf x) (#s(alt (-.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 (* x (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (+ 1 z)) (/ (* t z) (* x (pow (+ 1 z) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow t 2) (pow z 2)) (* x (pow (+ 1 z) 3)))) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) (pow z 3)) (* x (pow (+ 1 z) 4))) (* -1 (/ (* (pow t 2) (pow z 2)) (pow (+ 1 z) 3)))) x)) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
9.0ms
t
@inf
((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x))))
8.0ms
t
@-inf
((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x))))
8.0ms
z
@-inf
((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x))))
8.0ms
y
@-inf
((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x))))
6.0ms
y
@inf
((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x))))

simplify337.0ms (3.2%)

Memory
5.6MiB live, 474.9MiB allocated
Algorithm
egg-herbie
Rules
8 420×lower-fma.f64
8 420×lower-fma.f32
6 548×lower-*.f64
6 548×lower-*.f32
4 840×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113739296
1379034445
0917133524
Stop Event
iter limit
node limit
Counts
864 → 841
Calls
Call 1
Inputs
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(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ 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))))))))))
(/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+ (* -1 (/ t (* y (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2)))) (/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
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(* t z)
(* t z)
(* t z)
(* t z)
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(/ -1 (* x (+ 1 z)))
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Outputs
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(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
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(*.f64 (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) (*.f64 (*.f64 x x) x))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) (*.f64 t z)) (*.f64 (*.f64 x x) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) (*.f64 t z)) (*.f64 (*.f64 x x) x))))
(* -1 (* x (- z 1)))
(-.f64 x (*.f64 x z))
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x)
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x)
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x)
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (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 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(* (pow x 2) (* (+ 1 z) (- z 1)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* t (* z (+ 1 z))) (* t (* z (- z 1)))) x)) (* (+ 1 z) (- z 1))))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 z #s(literal 1 binary64)) z))) (neg.f64 x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (+ (* t (* z (+ 1 z))) (* t (* z (- z 1))))) x)) (* (+ 1 z) (- z 1))))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (*.f64 z z) x) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 z #s(literal 1 binary64)) z)))) (neg.f64 x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (+ (* t (* z (+ 1 z))) (* t (* z (- z 1))))) x)) (* (+ 1 z) (- z 1))))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (*.f64 z z) x) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 z #s(literal 1 binary64)) z)))) (neg.f64 x))) (*.f64 x x))
(* -1 (* x (- z 1)))
(-.f64 x (*.f64 x z))
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x)
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x)
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x)
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(/ -1 (* x (+ 1 z)))
(/.f64 #s(literal -1 binary64) (fma.f64 x z x))
(* -1 (/ (+ (/ 1 (+ 1 z)) (/ (* t z) (* x (pow (+ 1 z) 2)))) x))
(/.f64 (fma.f64 t (/.f64 z (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow t 2) (pow z 2)) (* x (pow (+ 1 z) 3)))) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) x)) (/.f64 (*.f64 t z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) (pow z 3)) (* x (pow (+ 1 z) 4))) (* -1 (/ (* (pow t 2) (pow z 2)) (pow (+ 1 z) 3)))) x)) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)) x)) (/.f64 (*.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)))) (neg.f64 x)) (/.f64 (*.f64 t z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) x)) (neg.f64 x))

rewrite293.0ms (2.7%)

Memory
23.0MiB live, 211.0MiB allocated
Rules
3 956×lower-*.f32
3 948×lower-/.f32
3 936×lower-*.f64
3 934×lower-/.f64
3 254×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070448
0101428
1400370
23565370
08840361
Stop Event
iter limit
node limit
iter limit
Counts
22 → 605
Calls
Call 1
Inputs
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(*.f64 z y)
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x)))
(fma.f64 (-.f64 t x) z x)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(/.f64 z (*.f64 y y))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (neg.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)
(*.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z))
(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z))) (neg.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) y))) (/.f64 #s(literal -1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
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(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (tanh.f64 (/.f64 x y))))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (tanh.f64 (/.f64 x y))))
(fma.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)))) (neg.f64 (tanh.f64 (/.f64 x y))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (tanh.f64 (/.f64 t y)) #s(literal 1 binary64)) (/.f64 (tanh.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y)))
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(pow.f64 (*.f64 (/.f64 y z) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 z y))) y)
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (/.f64 z y)) (neg.f64 y))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 z y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) z)))
(/.f64 (/.f64 z y) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(/.f64 z (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 z) (*.f64 y y)))
(neg.f64 (/.f64 z (*.f64 (neg.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x)) (*.f64 (-.f64 t x) z) (*.f64 (*.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 t x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (-.f64 t x) z))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x)) (*.f64 (-.f64 t x) z) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 t x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (-.f64 t x) z)))))
(*.f64 (pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(literal -1 binary64)))

eval483.0ms (4.5%)

Memory
-16.6MiB live, 301.1MiB allocated
Compiler

Compiled 59 563 to 3 044 computations (94.9% saved)

prune505.0ms (4.7%)

Memory
-38.8MiB live, 358.1MiB allocated
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New1 431151 446
Fresh51823
Picked235
Done022
Total1 438381 476
Accuracy
100.0%
Counts
1 476 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
64.4%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
35.5%
(fma.f64 (*.f64 #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)))) z) y x)
28.2%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x)
52.8%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x)
52.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
52.6%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x)
52.4%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
57.9%
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
32.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)))))
96.6%
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
53.3%
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x)))))
38.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y))))
28.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
38.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y))))
51.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
52.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
53.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
33.2%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))))))
35.6%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y))))
22.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
27.5%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
25.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
26.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x))
61.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
41.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
53.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
10.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z)))))
35.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
27.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
6.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
6.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
28.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
25.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
23.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
57.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
14.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 584 to 812 computations (48.7% saved)

simplify196.0ms (1.8%)

Memory
29.5MiB live, 181.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))
cost-diff0
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
cost-diff128
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))
cost-diff128
(neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))
cost-diff0
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y))
cost-diff0
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
cost-diff128
(neg.f64 (-.f64 t x))
cost-diff128
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
cost-diff0
(/.f64 t y)
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
Rules
7 066×lower-fma.f32
7 060×lower-fma.f64
4 344×lower-*.f32
4 322×lower-*.f64
2 986×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077731
0112719
1252653
2637604
31920592
46678592
08214581
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 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y))
(/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z))
(neg.f64 (-.f64 t x))
(-.f64 t x)
t
x
(neg.f64 z)
z
y
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))
(neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))
(*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))
z
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(*.f64 x x)
(*.f64 y y)
y
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x)
(fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x)))
#s(literal 1/3 binary64)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(/.f64 z (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x 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 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (*.f64 (/.f64 (-.f64 t x) y) z)) y x)
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y))
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (*.f64 (/.f64 (-.f64 t x) y) z))
(/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)
(*.f64 (/.f64 (-.f64 t x) y) z)
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z))
(*.f64 (-.f64 t x) z)
(neg.f64 (-.f64 t x))
(-.f64 x t)
(-.f64 t x)
t
x
(neg.f64 z)
z
y
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z)))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z))
(neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z)
(*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) z)
z
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))
(*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(*.f64 x x)
(*.f64 y y)
y
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x)))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x)
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x)
(fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x)))
#s(literal 1/3 binary64)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(/.f64 z (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x x)

localize256.0ms (2.4%)

Memory
9.8MiB live, 399.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy11.524311554707024
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x)
accuracy13.163794489216437
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))
accuracy28.901015978224212
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))
accuracy40.398218426483176
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))
accuracy2.3702103415780287
(*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))
accuracy16.033320773244483
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))
accuracy28.901015978224212
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))
accuracy40.398218426483176
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))
accuracy0.01171875
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z))
accuracy1.2434936924930209
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
accuracy4.241767339864254
(/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)
accuracy39.18740953032113
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy24.70933630752676
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
accuracy25.08816964926061
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy0
(tanh.f64 (/.f64 t y))
accuracy0.01171875
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy2.1742289172757023
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
accuracy30.156309828899946
#s(approx (tanh (/ x y)) (/.f64 x y))
Samples
123.0ms207×0valid
59.0ms43×2valid
6.0ms3valid
1.0ms1valid
Compiler

Compiled 419 to 66 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 54.0ms (35.3% of total)
ival-add: 29.0ms (19% of total)
ival-neg: 26.0ms (17% of total)
ival-div: 17.0ms (11.1% of total)
const: 10.0ms (6.5% of total)
adjust: 9.0ms (5.9% of total)
ival-sub: 4.0ms (2.6% of total)
ival-tanh: 3.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series178.0ms (1.7%)

Memory
7.9MiB live, 400.6MiB allocated
Counts
26 → 960
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 (-.f64 #s(literal 1 binary64) z) x))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) (patch (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 t x)) (patch (neg.f64 (-.f64 t x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) (patch (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) #<representation binary64>) () ())
#s(alt #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) (patch #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) (patch (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) (patch (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) (patch (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) (patch (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (patch (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 (- (/ 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)) #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 (- (+ (/ 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)) #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>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) #<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>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) (patch (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) (patch (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (pow x 3) z) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (* (pow x 3) z) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) (patch (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) (taylor -inf x) (#s(alt (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) (patch (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) (taylor -inf x) (#s(alt (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) (patch (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* x z) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (patch (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (patch (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (patch (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (patch (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
32.0ms
z
@0
((+ (* (- (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) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* 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)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x))
16.0ms
z
@-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) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* 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)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x))
8.0ms
z
@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) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* 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)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x))
7.0ms
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) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* 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)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x))
6.0ms
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) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* 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)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x))

simplify321.0ms (3%)

Memory
9.3MiB live, 584.4MiB allocated
Algorithm
egg-herbie
Rules
14 176×lower-fma.f64
14 176×lower-fma.f32
5 722×lower-+.f64
5 722×lower-+.f32
5 540×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080735239
1271927459
0899826731
Stop Event
iter limit
node limit
Counts
960 → 932
Calls
Call 1
Inputs
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Outputs
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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) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
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(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
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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) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x))))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(/ (- (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 z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y))))
(*.f64 (fma.f64 (neg.f64 t) (/.f64 z (*.f64 y x)) (/.f64 z y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y))))
(*.f64 (fma.f64 (neg.f64 t) (/.f64 z (*.f64 y x)) (/.f64 z y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y))))
(*.f64 (fma.f64 (neg.f64 t) (/.f64 z (*.f64 y x)) (/.f64 z y)) (neg.f64 x))
(* 1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x))))
(* -1/3 (/ (pow x 3) (pow y 2)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64))
(* -1/3 (/ (pow x 3) (pow y 2)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64))
(* -1/3 (/ (pow x 3) (pow y 2)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64))
(* -1/3 (/ (pow x 3) (pow y 2)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64))
(* -1/3 (/ (* (pow x 3) z) (pow y 2)))
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))))
(* 1/3 (/ (* x z) (pow y 2)))
(*.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x)
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x)
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x)

rewrite222.0ms (2.1%)

Memory
54.3MiB live, 340.1MiB allocated
Rules
4 780×lower-*.f32
4 758×lower-*.f64
3 976×lower-fma.f32
3 970×lower-fma.f64
3 494×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077649
0112579
1473573
24177573
08399552
Stop Event
iter limit
node limit
iter limit
Counts
26 → 365
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 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z))
(neg.f64 (-.f64 t x))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y))
(neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))
(*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) 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)) (/.f64 #s(literal 1 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 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #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)))))
(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))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #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))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)))))
(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 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)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 #s(literal 1 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)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 #s(literal 1 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)))))
(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)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) #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)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) (-.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)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (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)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))))) (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)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (+.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)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y)))) (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)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))
(/.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)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))))))
(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) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(fma.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)))) (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 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (+.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 (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))) (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) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(*.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)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.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))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(/.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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 (*.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) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) t)
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 t y))
(*.f64 t (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y t) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) y)
(/.f64 (*.f64 t #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 t)) y)
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(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y)))))
#s(approx (tanh (/ x y)) (/.f64 x y))
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(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (/.f64 x (*.f64 y y)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (neg.f64 y) y)))
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(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y)) x) z)
(*.f64 z (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y)) x))
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(/.f64 (*.f64 z (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) x) (*.f64 x x)))
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(/.f64 (fma.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 z x) (*.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 z x) (*.f64 z x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)))) (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)))))))
(fma.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) (*.f64 x (/.f64 x y)) (*.f64 z x))
(fma.f64 (*.f64 z (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 z x))
(fma.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 z x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) (*.f64 (*.f64 x (/.f64 x y)) z) (*.f64 z x))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) z (*.f64 z x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)) (*.f64 z x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) z) (*.f64 z x))
(fma.f64 z (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) (*.f64 z x))
(fma.f64 z x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))))
(fma.f64 x z (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))))
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x)
(*.f64 x (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (/.f64 z (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) x)))) x) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y)))))
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(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x (*.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x))
(fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x))
(fma.f64 x (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 x (/.f64 z (*.f64 (neg.f64 x) x))))
(fma.f64 x (/.f64 z (*.f64 (neg.f64 x) x)) (*.f64 x (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x) (*.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x))
(+.f64 (*.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x) (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x))
(+.f64 (*.f64 x (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))) (*.f64 x (/.f64 z (*.f64 (neg.f64 x) x))))
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eval221.0ms (2.1%)

Memory
3.2MiB live, 369.1MiB allocated
Compiler

Compiled 43 867 to 2 102 computations (95.2% saved)

prune172.0ms (1.6%)

Memory
-56.9MiB live, 333.3MiB allocated
Pruning

38 alts after pruning (32 fresh and 6 done)

PrunedKeptTotal
New1 29071 297
Fresh32528
Picked235
Done235
Total1 297381 335
Accuracy
100.0%
Counts
1 335 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
69.4%
(fma.f64 (-.f64 (tanh.f64 (/.f64 #s(literal 1 binary64) (/.f64 y t))) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
64.4%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
35.5%
(fma.f64 (*.f64 #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)))) z) y x)
28.2%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x)
52.8%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x)
52.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
52.6%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x)
52.4%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
56.0%
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x)
50.9%
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x)
32.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)))))
53.3%
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x)))))
38.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y))))
28.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
38.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y))))
51.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
52.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
53.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
22.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
28.7%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x)))))
35.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) x))))))
26.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x))
61.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
41.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
53.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
10.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z)))))
35.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
27.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
6.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
6.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
28.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
23.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
57.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
12.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
63.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
14.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 940 to 653 computations (66.3% saved)

regimes93.0ms (0.9%)

Memory
-1.8MiB live, 234.8MiB allocated
Counts
60 → 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 (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y 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 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) 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))))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(+.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 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) 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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(fma.f64 (*.f64 #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)))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)))))
(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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 #s(literal 1 binary64) (/.f64 y t))) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (*.f64 y y)) x)) y)))))
(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 (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

5 calls:

19.0ms
z
18.0ms
t
18.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
17.0ms
y
16.0ms
x
Results
AccuracySegmentsBranch
97.7%1x
99.6%2y
97.7%1z
97.7%1t
97.7%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes134.0ms (1.3%)

Memory
16.4MiB live, 170.8MiB allocated
Counts
57 → 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 (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y 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 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) 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))))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(+.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 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) 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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(fma.f64 (*.f64 #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)))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)))))
(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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 #s(literal 1 binary64) (/.f64 y t))) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (*.f64 y y)) x)) y)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

5 calls:

44.0ms
t
35.0ms
y
18.0ms
x
18.0ms
z
15.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
82.3%3x
75.3%3z
81.6%4t
80.2%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
84.3%3y
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes36.0ms (0.3%)

Memory
-2.0MiB live, 79.2MiB allocated
Counts
53 → 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 (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y 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 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) 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))))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(+.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 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) 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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(fma.f64 (*.f64 #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)))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)))))
(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 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

2 calls:

17.0ms
y
16.0ms
x
Results
AccuracySegmentsBranch
71.8%3x
82.1%3y
Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.2%)

Memory
5.6MiB live, 43.9MiB allocated
Counts
52 → 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 (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y 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 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) 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))))
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(+.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 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) 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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(fma.f64 (*.f64 #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)))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))))
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

1 calls:

15.0ms
y
Results
AccuracySegmentsBranch
80.1%2y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes37.0ms (0.3%)

Memory
-12.5MiB live, 26.0MiB allocated
Counts
5 → 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 (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#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)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Calls

4 calls:

29.0ms
z
2.0ms
y
2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
Results
AccuracySegmentsBranch
65.5%2z
68.0%3t
71.9%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
71.4%3y
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
4 → 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 (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
Calls

3 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
69.7%2y
63.9%1x
68.5%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
y
Results
AccuracySegmentsBranch
68.5%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
63.9%1y
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes4.0ms (0%)

Memory
5.5MiB live, 5.5MiB 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 (- 1 z) #s(literal 1 binary64)) x)))
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 (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Calls

2 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
Results
AccuracySegmentsBranch
63.9%1t
67.4%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory
-31.9MiB live, 14.3MiB 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

5 calls:

1.0ms
x
1.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.0ms
z
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
14.7%1t
14.7%1x
14.7%1y
14.7%1z
14.7%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch15.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
3.721746073681769e+203
4.0907170418145595e+206
Samples
9.0ms128×0valid
Compiler

Compiled 270 to 171 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35% of total)
ival-mult: 2.0ms (35% of total)
ival-sub: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-tanh: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
5.8MiB live, 42.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
9.034408820069416e+129
3.477338811172815e+138
7.0ms
5.724785108302807e-146
8.09269972176798e-146
Samples
17.0ms204×0valid
1.0ms1valid
Compiler

Compiled 421 to 253 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (25.1% of total)
ival-sub: 3.0ms (25.1% of total)
ival-mult: 3.0ms (25.1% of total)
ival-tanh: 2.0ms (16.7% of total)
ival-add: 1.0ms (8.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
4.3MiB live, 41.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
8.75418749924942e+170
3.892029875787237e+171
13.0ms
261551.77324232648
1536435.6214831746
Samples
16.0ms189×0valid
1.0ms1valid
Compiler

Compiled 388 to 235 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (34.1% of total)
ival-mult: 3.0ms (34.1% of total)
ival-tanh: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
-16.4MiB live, 19.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
1536435.6214831746
6168009.592329155
Samples
7.0ms91×0valid
1.0ms1valid
Compiler

Compiled 160 to 103 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (21.3% of total)
ival-mult: 1.0ms (21.3% of total)
ival-tanh: 1.0ms (21.3% of total)
ival-sub: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1884869752271817e+304
+inf
0.0ms
-inf
-2.5673128564016474e+299
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch8.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1536435.6214831746
6168009.592329155
Samples
4.0ms61×0valid
0.0ms1valid
Compiler

Compiled 160 to 109 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (31.2% of total)
ival-mult: 1.0ms (31.2% of total)
ival-tanh: 1.0ms (31.2% of total)
ival-sub: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1884869752271817e+304
+inf
0.0ms
-inf
-2.5673128564016474e+299
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1884869752271817e+304
+inf
0.0ms
-inf
-2.5673128564016474e+299
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify10.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative_binary64
20×+-commutative_binary64
18×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088718
1112718
2125718
3132718
4135718
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 55000000000000000356943399051191356440197828635684808547448924460261488976664615915289618893443131659157361250719464271712091659089875303171934820184417449127493194427949401663576131022232274294504501018624 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))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 8997827589086393/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 9599999999999999891790019890114281654704576428558324886846458868091315162000230284556202619264227242504077307986891026066905306557841408 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 470000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 1619999999999999929725473439625760814871128095683213910719198378767556836393151879388472823507524620622035898410496030937961406930617236572935900511607107713033438467457024 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 1980000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) 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 y #s(literal 2250000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Outputs
(if (<=.f64 y #s(literal 55000000000000000356943399051191356440197828635684808547448924460261488976664615915289618893443131659157361250719464271712091659089875303171934820184417449127493194427949401663576131022232274294504501018624 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))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 55000000000000000356943399051191356440197828635684808547448924460261488976664615915289618893443131659157361250719464271712091659089875303171934820184417449127493194427949401663576131022232274294504501018624 binary64)) (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 8997827589086393/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 9599999999999999891790019890114281654704576428558324886846458868091315162000230284556202619264227242504077307986891026066905306557841408 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 470000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 1619999999999999929725473439625760814871128095683213910719198378767556836393151879388472823507524620622035898410496030937961406930617236572935900511607107713033438467457024 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 1980000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) 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 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #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 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) 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 y #s(literal 2250000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))
(if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
(if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))))
#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)))

soundness977.0ms (9.2%)

Memory
-30.2MiB live, 731.2MiB allocated
Rules
14 176×lower-fma.f64
14 176×lower-fma.f32
13 766×lower-fma.f64
13 766×lower-fma.f32
10 022×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080735239
1271927459
0899826731
049351
084321
1339321
22958321
08148314
077838443
1263529277
0885928532
04479354
115157627
262637212
093657079
01244
02044
19944
287144
0820843
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 737 to 323 computations (56.2% saved)

preprocess185.0ms (1.7%)

Memory
29.8MiB live, 146.3MiB allocated
Compiler

Compiled 792 to 232 computations (70.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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