SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze66.0ms (0.7%)

Memory
12.6MiB live, 86.9MiB 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)

sample1.2s (13.6%)

Memory
54.1MiB live, 1 298.2MiB allocated
Samples
708.0ms8 018×0valid
45.0ms238×1valid
Precisions
Click to see histograms. Total time spent on operations: 480.0ms
ival-div: 138.0ms (28.7% of total)
ival-tanh: 125.0ms (26% of total)
ival-mult: 121.0ms (25.2% of total)
ival-add: 44.0ms (9.2% of total)
ival-sub: 38.0ms (7.9% of total)
ival-true: 7.0ms (1.5% of total)
adjust: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain213.0ms (2.3%)

Memory
-28.1MiB live, 299.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
220-1(-1.5762737725773324e-130 3.0578816102094745e+191 5.814865078140741e-100 -1.2061647012417577e-268)(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
10-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-(/.f64 x y)
00-0-(/.f64 t y)
00-0-t
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-(tanh.f64 (/.f64 x y))
00-0-z
00-0-(tanh.f64 (/.f64 t y))
00-0-y
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*o140
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*u30
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u10
(*.f64 y z)overflow31
(/.f64 t y)underflow19
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow52
(tanh.f64 (/.f64 x y))underflow25
(/.f64 x y)underflow25
(tanh.f64 (/.f64 t y))underflow19
Confusion
Predicted +Predicted -
+171
-1237
Precision
0.9444444444444444
Recall
0.9444444444444444
Confusion?
Predicted +Predicted MaybePredicted -
+1701
-10237
Precision?
0.9444444444444444
Recall?
0.9444444444444444
Freqs
test
numberfreq
0238
118
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
83.0ms418×0valid
25.0ms84×2valid
3.0ms3valid
1.0ms1valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-sub: 23.0ms (36.5% of total)
ival-mult: 12.0ms (19% of total)
ival-div: 11.0ms (17.5% of total)
ival-tanh: 8.0ms (12.7% of total)
adjust: 5.0ms (7.9% of total)
ival-add: 3.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess174.0ms (1.9%)

Memory
28.1MiB live, 299.3MiB allocated
Algorithm
egg-herbie
Rules
12 492×lower-fma.f64
12 492×lower-fma.f32
3 782×lower-*.f32
3 778×lower-*.f64
2 164×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify408.0ms (4.4%)

Memory
-32.0MiB live, 138.9MiB 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)

localize54.0ms (0.6%)

Memory
8.5MiB live, 46.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy0.01171875
(tanh.f64 (/.f64 t y))
accuracy0.23750314806397804
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy5.185155144630301
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
17.0ms209×0valid
10.0ms42×2valid
1.0ms3valid
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 (27.6% of total)
ival-tanh: 4.0ms (22.1% of total)
ival-mult: 4.0ms (22.1% of total)
adjust: 2.0ms (11% of total)
ival-sub: 2.0ms (11% of total)
ival-add: 2.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series84.0ms (0.9%)

Memory
-2.9MiB live, 82.2MiB allocated
Counts
5 → 180
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
30.0ms
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 (/ t y)))
10.0ms
y
@-inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)))
6.0ms
z
@0
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)))
4.0ms
t
@inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)))
3.0ms
t
@0
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)))

simplify153.0ms (1.7%)

Memory
-2.7MiB live, 231.6MiB allocated
Algorithm
egg-herbie
Rules
9 934×lower-fma.f64
9 934×lower-fma.f32
3 770×lower-*.f64
3 770×lower-*.f32
3 548×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04399242
114846963
261496572
091926439
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))))))
(- (+ (* 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 (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(* 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)))))))))
(* 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)))))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
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(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))

rewrite176.0ms (1.9%)

Memory
20.8MiB live, 135.2MiB allocated
Rules
5 094×lower-*.f32
5 090×lower-*.f64
4 102×lower-/.f32
4 098×lower-/.f64
2 936×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
02044
19944
287144
0820843
Stop Event
iter limit
node limit
iter limit
Counts
5 → 271
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
Outputs
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eval142.0ms (1.5%)

Memory
-15.8MiB live, 155.7MiB allocated
Compiler

Compiled 19 654 to 1 649 computations (91.6% saved)

prune49.0ms (0.5%)

Memory
-12.1MiB live, 27.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4416447
Fresh000
Picked101
Done000
Total4426448
Accuracy
100.0%
Counts
448 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
50.1%
(/.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)))
62.3%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
48.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
59.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
59.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Compiler

Compiled 182 to 132 computations (27.5% saved)

simplify337.0ms (3.7%)

Memory
4.0MiB live, 156.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
cost-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
(*.f64 (-.f64 t x) z)
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
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
16 128×lower-fma.f32
16 124×lower-fma.f64
3 988×lower-*.f32
3 978×lower-*.f64
2 654×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034281
054280
1114280
2248280
3583280
41960280
57290280
08531278
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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
t
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)
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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
t
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)

localize508.0ms (5.5%)

Memory
-4.7MiB live, 202.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy0.23750314806397804
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy5.185155144630301
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
accuracy30.314982414085826
#s(approx (tanh (/ t y)) (/.f64 t 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))))
accuracy5.185155144630301
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy42.36918883659352
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy0
(-.f64 t x)
accuracy0.00390625
(*.f64 (-.f64 t x) z)
accuracy0.0078125
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
accuracy39.626071103290194
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
accuracy0
(fma.f64 (-.f64 t x) z x)
accuracy0
(-.f64 t x)
accuracy25.68799914067416
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy0.01171875
(tanh.f64 (/.f64 t y))
accuracy0.23750314806397804
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.2926053114318803
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy0.48627571562882077
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
Samples
338.0ms209×0valid
18.0ms40×2valid
4.0ms3valid
1.0ms1valid
Compiler

Compiled 232 to 21 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 128.0ms (84.6% of total)
ival-div: 8.0ms (5.3% of total)
ival-tanh: 4.0ms (2.6% of total)
ival-add: 4.0ms (2.6% of total)
adjust: 3.0ms (2% of total)
ival-sub: 3.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series140.0ms (1.5%)

Memory
8.5MiB live, 167.1MiB allocated
Counts
19 → 744
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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())
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>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (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 (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (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 (* -1 (* x z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ())
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ())
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ())
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<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 (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) #<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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #<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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #<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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #<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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#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) #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 (+ 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) #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>) () ())) ())
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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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
58.0ms
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)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y)))
4.0ms
x
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y)))
3.0ms
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)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y)))
3.0ms
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)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y)))
3.0ms
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)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y)))

simplify328.0ms (3.6%)

Memory
28.2MiB live, 494.6MiB allocated
Algorithm
egg-herbie
Rules
14 616×lower-fma.f64
14 616×lower-fma.f32
5 684×lower-*.f64
5 684×lower-*.f32
3 818×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057337707
1192228203
2754328195
0879027511
Stop Event
iter limit
node limit
Counts
744 → 720
Calls
Call 1
Inputs
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(/ t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
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(* -1 x)
(- t x)
(- t x)
(- t x)
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(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(*.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x))
(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(*.f64 (-.f64 z (/.f64 (*.f64 t z) 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 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
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x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))

rewrite194.0ms (2.1%)

Memory
9.5MiB live, 292.5MiB allocated
Rules
5 214×lower-*.f32
5 204×lower-*.f64
4 308×lower-/.f32
4 302×lower-/.f64
2 220×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034234
054233
1230233
21897233
08145231
Stop Event
iter limit
node limit
iter limit
Counts
19 → 547
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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(/.f64 (-.f64 t x) y)
#s(approx (tanh (/ t y)) (/.f64 t y))
Outputs
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eval299.0ms (3.3%)

Memory
-11.2MiB live, 329.0MiB allocated
Compiler

Compiled 51 355 to 3 455 computations (93.3% saved)

prune67.0ms (0.7%)

Memory
5.3MiB live, 117.2MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1 370191 389
Fresh101
Picked415
Done000
Total1 375201 395
Accuracy
100.0%
Counts
1 395 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
98.9%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
66.7%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
53.5%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
31.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) x))
30.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
28.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
30.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
46.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
17.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
39.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
55.4%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
55.4%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
27.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
42.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
55.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
26.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
55.4%
#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)))
15.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 570 to 435 computations (23.7% saved)

simplify187.0ms (2%)

Memory
7.3MiB live, 228.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
cost-diff512
(-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x)))
cost-diff2560
(/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t)))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
cost-diff0
(*.f64 t z)
cost-diff0
#s(approx (* (- t x) z) (*.f64 t z))
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z)))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
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
#s(approx (tanh (/ t y)) (/.f64 t y))
cost-diff0
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
cost-diff0
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
Rules
8 560×lower-fma.f32
8 556×lower-fma.f64
4 116×lower-*.f32
4 098×lower-*.f64
2 694×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045399
069399
1161383
2395365
31073359
43529333
08439330
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
t
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z)))
#s(approx (* (- t x) z) (*.f64 t z))
(*.f64 t z)
t
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
(/.f64 #s(approx (- t x) (neg.f64 x)) y)
#s(approx (- t x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x)
(/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t)))
(-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x)))
(*.f64 (*.f64 t t) (+.f64 x t))
(*.f64 t t)
t
(+.f64 x t)
x
(*.f64 (+.f64 x t) (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 x t) (+.f64 x t))
z
Outputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
(*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
#s(approx (+ (* (- t x) z) x) (*.f64 z t))
(*.f64 t z)
(*.f64 z t)
t
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z)))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t)))
#s(approx (* (- t x) z) (*.f64 t z))
#s(approx (* (- t x) z) (*.f64 z t))
(*.f64 t z)
(*.f64 z t)
t
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
(/.f64 #s(approx (- t x) (neg.f64 x)) y)
#s(approx (- t x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x)
(fma.f64 (-.f64 t x) z x)
(/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t)))
(-.f64 t x)
(-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 t t)) (+.f64 x t))
(*.f64 (*.f64 t t) (+.f64 x t))
(*.f64 (*.f64 (+.f64 x t) t) t)
(*.f64 t t)
t
(+.f64 x t)
x
(*.f64 (+.f64 x t) (*.f64 x x))
(*.f64 (*.f64 (+.f64 x t) x) x)
(*.f64 x x)
(*.f64 (+.f64 x t) (+.f64 x t))
z

localize116.0ms (1.3%)

Memory
-3.7MiB live, 265.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy4.891816436651381
(*.f64 (+.f64 x t) (*.f64 x x))
accuracy10.941334004057213
(-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x)))
accuracy25.68799914067416
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
accuracy40.618032166453176
(/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t)))
accuracy0.0078125
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
accuracy5.185155144630301
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
accuracy29.500594898490377
#s(approx (- t x) (neg.f64 x))
accuracy42.36918883659352
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
accuracy0
(*.f64 t z)
accuracy0.0078125
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
accuracy32.488091123819835
#s(approx (* (- t x) z) (*.f64 t z))
accuracy39.626071103290194
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z)))
accuracy0
(*.f64 t z)
accuracy25.68799914067416
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy38.46958121539286
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy0.23750314806397804
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.2926053114318803
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy0.48627571562882077
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
accuracy30.314982414085826
#s(approx (tanh (/ t y)) (/.f64 t y))
Samples
55.0ms209×0valid
26.0ms40×2valid
7.0ms3valid
1.0ms1valid
Compiler

Compiled 287 to 33 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 20.0ms (35.8% of total)
ival-div: 12.0ms (21.5% of total)
ival-add: 9.0ms (16.1% of total)
adjust: 5.0ms (9% of total)
ival-sub: 4.0ms (7.2% of total)
ival-tanh: 4.0ms (7.2% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series188.0ms (2%)

Memory
-14.8MiB live, 206.1MiB allocated
Counts
20 → 732
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 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 (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z)))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))) #<representation binary64>) () ())
#s(alt #s(approx (* (- t x) z) (*.f64 t z)) (patch #s(approx (* (- t x) z) (*.f64 t z)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 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 #s(approx (- t x) (neg.f64 x)) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) (patch (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (patch (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x) (patch (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x) #<representation binary64>) () ())
#s(alt #s(approx (- t x) (neg.f64 x)) (patch #s(approx (- t x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x t) (*.f64 x x)) (patch (*.f64 (+.f64 x t) (*.f64 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 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
68.0ms
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 z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- t x) (* (+ x t) (* x x)))
9.0ms
x
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- t x) (* (+ x t) (* x x)))
5.0ms
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 z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- t x) (* (+ x t) (* x x)))
4.0ms
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 z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- t x) (* (+ x t) (* x x)))
4.0ms
x
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- t x) (* (+ x t) (* x x)))

simplify241.0ms (2.6%)

Memory
-2.2MiB live, 308.6MiB allocated
Algorithm
egg-herbie
Rules
8 610×lower-fma.f64
8 610×lower-fma.f32
5 512×lower-*.f64
5 512×lower-*.f32
5 006×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102533528
1346028932
0841528252
Stop Event
iter limit
node limit
Counts
732 → 704
Calls
Call 1
Inputs
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Outputs
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(*.f64 (+.f64 (/.f64 t x) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (/ (pow t 2) x) t) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t t) x) t) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow t 3) x)) (* -1 (pow t 2))) x)) t) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) x))) (neg.f64 x)) t) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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 (- z 1)))
(-.f64 x (*.f64 z x))
(* -1 (* x (- (+ z (* -1 (/ (- (* -1 (* t z)) (* -2 (* t z))) x))) 1)))
(fma.f64 (fma.f64 (neg.f64 t) (/.f64 z x) z) (neg.f64 x) x)
(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (* -1 (* (pow t 2) z)) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* (pow t 2) z))) x))) (* -2 (* t z))) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 t z (/.f64 (neg.f64 (fma.f64 (*.f64 t t) z (fma.f64 (*.f64 (*.f64 t z) t) #s(literal -2 binary64) (*.f64 (*.f64 t t) z)))) x)) (*.f64 (*.f64 #s(literal 2 binary64) t) z)) x)) (neg.f64 x) x)
(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (+ (* -1 (* (pow t 2) z)) (* -1 (/ (- (* (pow t 3) z) (+ (* -2 (* t (- (* -1 (* (pow t 2) z)) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* (pow t 2) z))))) (* (pow t 2) (- (* -1 (* t z)) (* -2 (* t z)))))) x))) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* (pow t 2) z))) x))) (* -2 (* t z))) x))) 1)))
(fma.f64 (-.f64 z (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 t z (/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) z (/.f64 (-.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) z) (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 t t) z (fma.f64 (*.f64 (*.f64 t z) t) #s(literal -2 binary64) (*.f64 (*.f64 t t) z)))) t) #s(literal -2 binary64) (*.f64 (*.f64 t t) (*.f64 t z)))) x))) (fma.f64 (*.f64 (*.f64 t z) t) #s(literal -2 binary64) (*.f64 (*.f64 t t) z))) x)) (*.f64 (*.f64 #s(literal 2 binary64) t) z)) x)) (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ t x)) 1)))
(*.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ t x)) 1)))
(*.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ t x)) 1)))
(*.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite159.0ms (1.7%)

Memory
35.4MiB live, 263.3MiB allocated
Rules
5 862×lower-*.f32
5 844×lower-*.f64
3 306×lower-/.f32
3 298×lower-/.f64
2 148×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045338
069332
1300316
22537272
08304269
Stop Event
iter limit
node limit
iter limit
Counts
20 → 309
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z)))
#s(approx (* (- t x) z) (*.f64 t z))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
(/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t)))
(-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x)
#s(approx (- t x) (neg.f64 x))
(*.f64 (+.f64 x t) (*.f64 x x))
Outputs
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eval243.0ms (2.6%)

Memory
-13.7MiB live, 232.0MiB allocated
Compiler

Compiled 41 902 to 2 553 computations (93.9% saved)

prune102.0ms (1.1%)

Memory
-11.5MiB live, 104.4MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New1 025141 039
Fresh41014
Picked235
Done011
Total1 031281 059
Accuracy
100.0%
Counts
1 059 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
66.7%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
53.5%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
49.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) y x)
46.4%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
31.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) x))
24.0%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y)) x))
28.1%
(/.f64 (-.f64 (pow.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) x))
28.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
30.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
17.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
39.9%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
55.4%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
27.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) #s(approx (* (+ x t) (* x x)) (*.f64 (*.f64 x x) t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
26.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (fma.f64 (fma.f64 t x (*.f64 (neg.f64 x) x)) t (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
42.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
30.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (-.f64 (neg.f64 x) t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
39.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (+.f64 t x) (*.f64 t t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
31.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
42.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
37.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (/.f64 (neg.f64 t) x)) (+.f64 (fma.f64 (/.f64 t x) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) x) (/.f64 t x) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))))) x)) z x))
37.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x))
55.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
33.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (*.f64 (neg.f64 t) (-.f64 (/.f64 (-.f64 (+.f64 (fma.f64 z x (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 z x (*.f64 (*.f64 #s(literal -2 binary64) x) z)) (*.f64 (*.f64 x x) z)) (*.f64 (*.f64 x x) z)) (neg.f64 t))) x) (*.f64 (*.f64 #s(literal 2 binary64) x) z)) (neg.f64 t)) z))))
26.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
55.4%
#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)))
15.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 036 to 695 computations (32.9% saved)

simplify227.0ms (2.5%)

Memory
31.0MiB live, 177.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff704
(-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t)))
cost-diff832
(+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t)))
cost-diff1408
(-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t))))
cost-diff1920
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
cost-diff320
(*.f64 #s(literal 1 binary64) y)
cost-diff2048
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
cost-diff0
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z)
cost-diff0
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))
cost-diff0
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
cost-diff1408
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))
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 z x)
cost-diff0
(-.f64 x (*.f64 z x))
cost-diff0
#s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
Rules
17 140×lower-fma.f32
17 136×lower-fma.f64
5 170×lower-+.f32
5 160×lower-+.f64
3 912×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067768
0102780
1263717
2777523
32647452
08252438
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))
(-.f64 x (*.f64 z x))
x
(*.f64 z x)
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
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z)
(*.f64 (+.f64 x t) (-.f64 t x))
(+.f64 x t)
t
(-.f64 t x)
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x))
(*.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (/.f64 y t) x)
(/.f64 y t)
t
(*.f64 (/.f64 y t) y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x))
(fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x)
#s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t))
(*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)
(-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t))))
(+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64))
(-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t)))
(/.f64 x t)
x
t
(*.f64 (/.f64 x t) (/.f64 x t))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))
#s(literal 2 binary64)
(+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t)))
(*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t)
(-.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
z
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))
#s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
x
(*.f64 z x)
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 (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) 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
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))
(*.f64 (-.f64 t x) z)
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z)
(*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x))
(*.f64 (+.f64 x t) (-.f64 t x))
(*.f64 (-.f64 t x) (+.f64 t x))
(+.f64 x t)
(+.f64 t x)
t
(-.f64 t x)
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) 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 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
(/.f64 (-.f64 t x) y)
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x))
(-.f64 y (*.f64 (/.f64 y t) x))
(*.f64 #s(literal 1 binary64) y)
y
#s(literal 1 binary64)
(*.f64 (/.f64 y t) x)
(/.f64 y t)
t
(*.f64 (/.f64 y t) y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (fma.f64 (/.f64 x t) (-.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (/.f64 x t)) #s(literal 1 binary64)) t)) z x))
(fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x)
(fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (fma.f64 (/.f64 x t) (-.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (/.f64 x t)) #s(literal 1 binary64)) t)) z x)
#s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t))
#s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (fma.f64 (/.f64 x t) (-.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (/.f64 x t)) #s(literal 1 binary64)) t))
(*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)
(*.f64 (fma.f64 (/.f64 x t) (-.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (/.f64 x t)) #s(literal 1 binary64)) t)
(-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t))))
(fma.f64 (/.f64 x t) (-.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (/.f64 x t)) #s(literal 1 binary64))
(+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t) #s(literal 1 binary64))
(-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t))
(/.f64 x t)
x
t
(*.f64 (/.f64 x t) (/.f64 x t))
(*.f64 (/.f64 (/.f64 x t) t) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))
(*.f64 (/.f64 x t) (fma.f64 (/.f64 #s(literal -1 binary64) t) x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t))
(*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))
(*.f64 (/.f64 (/.f64 x t) t) (neg.f64 x))
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t)
(/.f64 (neg.f64 x) t)
(-.f64 x (*.f64 #s(literal 2 binary64) x))
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
z

localize565.0ms (6.2%)

Memory
-33.6MiB live, 382.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.791635699620915
(*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)
accuracy19.265466058925863
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))
accuracy25.68799914067416
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x))
accuracy32.0256620103459
(-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t))))
accuracy4.186516142594286
(*.f64 (/.f64 y t) x)
accuracy5.185155144630301
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))
accuracy21.52923269038177
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
accuracy42.36918883659352
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))
accuracy0.0078125
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
accuracy6.870402881180624
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z)
accuracy18.150147409576864
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))
accuracy39.626071103290194
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.01953125
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy22.95534738410187
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy25.68799914067416
#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)))
accuracy0
(*.f64 z x)
accuracy0.01953125
(-.f64 x (*.f64 z x))
accuracy22.95534738410187
#s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))
accuracy25.68799914067416
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
Samples
276.0ms113×1valid
157.0ms42×2valid
79.0ms99×0valid
3.0ms3valid
Compiler

Compiled 488 to 55 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 433.0ms
ival-mult: 153.0ms (35.3% of total)
adjust: 116.0ms (26.8% of total)
ival-add: 79.0ms (18.2% of total)
ival-sub: 60.0ms (13.8% of total)
ival-div: 20.0ms (4.6% of total)
ival-tanh: 5.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series202.0ms (2.2%)

Memory
24.8MiB live, 215.6MiB allocated
Counts
24 → 804
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) (patch #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 z x)) (patch (-.f64 x (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<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 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) (patch (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (patch (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) y) (patch (*.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t))) (patch (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) (patch (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (patch (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) (patch (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y t) x) (patch (*.f64 (/.f64 y t) x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t) (patch (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 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))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) (patch #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t (- (* -1 z) (* -2 z))))) (taylor 0 t) (#s(alt #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) (patch #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (/ z x) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z))))) (taylor 0 t) (#s(alt #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) (patch #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (+ (* t (- (+ (* -2 (/ z (pow x 2))) (/ z (pow x 2))) (+ (* -1 (/ z (pow x 2))) (* 2 (/ (- (/ z x) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))) x))))) (/ z x)) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z))))) (taylor 0 t) (#s(alt #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) (patch #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #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 (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #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 (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #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 (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #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 (+ x (* -1 (* x z))) (taylor 0 t) (#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 (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#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 (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#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 (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#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 (* -1 (* x z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) (patch (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ t x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t) (patch (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ t x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t) (patch (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
62.0ms
y
@inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- x (* z x)) (* z x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t))) (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t))) (- (/ x t) (* (/ x t) (/ x t))) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) t))
10.0ms
x
@-inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- x (* z x)) (* z x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t))) (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t))) (- (/ x t) (* (/ x t) (/ x t))) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) t))
10.0ms
x
@inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- x (* z x)) (* z x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t))) (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t))) (- (/ x t) (* (/ x t) (/ x t))) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) t))
8.0ms
x
@0
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- x (* z x)) (* z x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t))) (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t))) (- (/ x t) (* (/ x t) (/ x t))) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) t))
7.0ms
t
@-inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (- x (* z x)) (* z x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t))) (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t))) (- (/ x t) (* (/ x t) (/ x t))) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) t))

simplify270.0ms (2.9%)

Memory
10.1MiB live, 413.7MiB allocated
Algorithm
egg-herbie
Rules
11 204×lower-fma.f64
11 204×lower-fma.f32
6 482×lower-+.f64
6 482×lower-+.f32
4 620×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088029513
1295424971
0841724353
Stop Event
iter limit
node limit
Counts
804 → 765
Calls
Call 1
Inputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* t (- (* -1 z) (* -2 z)))))
(+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (/ z x) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z)))))
(+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (+ (* t (- (+ (* -2 (/ z (pow x 2))) (/ z (pow x 2))) (+ (* -1 (/ z (pow x 2))) (* 2 (/ (- (/ z x) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))) x))))) (/ z x)) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z)))))
(+ 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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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* 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)))))))))
(* 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)))))))))
(* 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)))))))))
(* 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)))))))))
(* -1 (/ (pow x 2) (pow t 2)))
(* (pow x 2) (- (* 2 (/ 1 (* t x))) (/ 1 (pow t 2))))
(* (pow x 2) (- (* 2 (/ 1 (* t x))) (/ 1 (pow t 2))))
(* (pow x 2) (- (* 2 (/ 1 (* t x))) (/ 1 (pow t 2))))
(* -1 (/ x t))
(* -1 (* x (- (/ 1 t) (/ 1 x))))
(* -1 (* x (- (/ 1 t) (/ 1 x))))
(* -1 (* x (- (/ 1 t) (/ 1 x))))
(* -1 (/ (pow x 2) (pow t 2)))
(* (pow x 2) (- (/ 1 (* t x)) (/ 1 (pow t 2))))
(* (pow x 2) (- (/ 1 (* t x)) (/ 1 (pow t 2))))
(* (pow x 2) (- (/ 1 (* t x)) (/ 1 (pow t 2))))
(* -1 (/ (pow x 2) (pow t 2)))
(* (pow x 2) (- (/ 1 (* t x)) (/ 1 (pow t 2))))
(* (pow x 2) (- (/ 1 (* t x)) (/ 1 (pow t 2))))
(* (pow x 2) (- (/ 1 (* t x)) (/ 1 (pow t 2))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(* -1 (* x (+ 1 (* -1 (/ t x)))))
Outputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* -1 (* x z)))
(-.f64 x (*.f64 z x))
(+ x (+ (* -1 (* x z)) (* t (- (* -1 z) (* -2 z)))))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (/ z x) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 (fma.f64 (-.f64 (/.f64 z x) (fma.f64 (/.f64 z x) #s(literal 2 binary64) (/.f64 (neg.f64 z) x))) t z) t))
(+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (+ (* t (- (+ (* -2 (/ z (pow x 2))) (/ z (pow x 2))) (+ (* -1 (/ z (pow x 2))) (* 2 (/ (- (/ z x) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))) x))))) (/ z x)) (+ (* -1 (/ z x)) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z)))))
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(+ 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) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x))
(+ 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))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x))
(+ 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))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t x))
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 z x))
(+ x (+ (* -1 (* x z)) (* t z)))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* -1 (* x z)) (* t z)))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* -1 (* x z)) (* t z)))
(fma.f64 (-.f64 t x) z x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(+ (* -1 (* x z)) (* t z))
(*.f64 (-.f64 t x) z)
(+ (* -1 (* x z)) (* t z))
(*.f64 (-.f64 t x) z)
(+ (* -1 (* x z)) (* t z))
(*.f64 (-.f64 t x) z)
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x))
(+ 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))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x))
(+ 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))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t x))
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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))))))
(+ (* 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)))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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 t z))
(+ (* 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)))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t))
(+ (* 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)))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t))
(* -1 (* (pow x 2) z))
(*.f64 (*.f64 (neg.f64 x) x) z)
(+ (* -1 (* (pow x 2) z)) (* t (* z (+ x (* -1 x)))))
(fma.f64 (*.f64 #s(literal 0 binary64) z) t (*.f64 (*.f64 (neg.f64 x) x) z))
(+ (* -1 (* (pow x 2) z)) (* t (+ (* t z) (* z (+ x (* -1 x))))))
(fma.f64 (*.f64 (neg.f64 x) x) z (*.f64 (*.f64 z (+.f64 #s(literal 0 binary64) t)) t))
(+ (* -1 (* (pow x 2) z)) (* t (+ (* t z) (* z (+ x (* -1 x))))))
(fma.f64 (*.f64 (neg.f64 x) x) z (*.f64 (*.f64 z (+.f64 #s(literal 0 binary64) t)) t))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(+ (* -1 (/ x y)) (/ t y))
(/.f64 (-.f64 t x) y)
(+ (* -1 (/ x y)) (/ t y))
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(/.f64 (-.f64 t x) y)
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(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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))))) x)
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(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.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))))))
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(-.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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)))))
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.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)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ t x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 x))

rewrite203.0ms (2.2%)

Memory
-20.6MiB live, 323.6MiB allocated
Rules
4 874×lower-fma.f32
4 870×lower-fma.f64
4 742×lower-*.f32
4 716×lower-*.f64
2 450×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067537
0102535
1516397
25129397
08138389
Stop Event
iter limit
node limit
iter limit
Counts
24 → 496
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))
(-.f64 x (*.f64 z x))
(*.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 (+ (* (- 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 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
(*.f64 #s(literal 1 binary64) y)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))
(-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t))))
(+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t)))
(-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t)))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))
(*.f64 (/.f64 y t) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x))
(*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)
Outputs
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eval303.0ms (3.3%)

Memory
63.4MiB live, 546.7MiB allocated
Compiler

Compiled 47 702 to 3 780 computations (92.1% saved)

prune64.0ms (0.7%)

Memory
-46.6MiB live, 234.9MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New1 250111 261
Fresh91019
Picked415
Done044
Total1 263261 289
Accuracy
100.0%
Counts
1 289 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
66.7%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
53.5%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
46.4%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
31.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) x))
28.1%
(/.f64 (-.f64 (pow.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) x))
16.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 y t) x) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 y t) y) (fma.f64 (/.f64 y t) x y))))))
28.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
30.6%
(+.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)))))
19.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 y t) x) #s(literal 2 binary64))) (/.f64 (/.f64 t y) y)) (fma.f64 (/.f64 y t) x y)))))
17.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (/.f64 t y)))))
48.8%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t))))
38.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)))))
59.8%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (+.f64 t x) (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (+.f64 t x) #s(literal -1 binary64))))))
55.4%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
27.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) #s(approx (* (+ x t) (* x x)) (*.f64 (*.f64 x x) t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
26.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (fma.f64 (fma.f64 t x (*.f64 (neg.f64 x) x)) t (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
30.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (-.f64 (neg.f64 x) t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
54.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 #s(approx (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) x)) t)) z x))
26.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z x x))))
55.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
14.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) z))))
26.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
59.7%
#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)))
15.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 331 to 605 computations (54.5% saved)

regimes123.0ms (1.3%)

Memory
9.7MiB live, 163.6MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) 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 (+ 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t 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 #s(approx (- t x) (neg.f64 x)) z)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) 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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 #s(approx (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) x)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (+.f64 t x) (*.f64 t t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (-.f64 (neg.f64 x) t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) #s(approx (* (+ x t) (* x x)) (*.f64 (*.f64 x x) t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (*.f64 (neg.f64 t) (-.f64 (/.f64 (-.f64 (+.f64 (fma.f64 z x (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 z x (*.f64 (*.f64 #s(literal -2 binary64) x) z)) (*.f64 (*.f64 x x) z)) (*.f64 (*.f64 x x) z)) (neg.f64 t))) x) (*.f64 (*.f64 #s(literal 2 binary64) x) z)) (neg.f64 t)) z))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (+.f64 t x) (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (+.f64 t x) #s(literal -1 binary64))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z x x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (/.f64 (neg.f64 t) x)) (+.f64 (fma.f64 (/.f64 t x) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) x) (/.f64 t x) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))))) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
(/.f64 (-.f64 (pow.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) x))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (fma.f64 (fma.f64 t x (*.f64 (neg.f64 x) x)) t (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 y t) x) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 y t) y) (fma.f64 (/.f64 y t) x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 y t) x) #s(literal 2 binary64))) (/.f64 (/.f64 t y) y)) (fma.f64 (/.f64 y t) x y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
(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 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) x))
(/.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)))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
Calls

5 calls:

48.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
23.0ms
z
19.0ms
x
17.0ms
y
14.0ms
t
Results
AccuracySegmentsBranch
98.9%1x
98.9%1y
98.9%1z
98.9%1t
98.9%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes79.0ms (0.9%)

Memory
10.7MiB live, 164.0MiB allocated
Counts
47 → 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) 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 (+ 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t 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 #s(approx (- t x) (neg.f64 x)) z)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) 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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 #s(approx (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) x)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (+.f64 t x) (*.f64 t t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (-.f64 (neg.f64 x) t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) #s(approx (* (+ x t) (* x x)) (*.f64 (*.f64 x x) t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (*.f64 (neg.f64 t) (-.f64 (/.f64 (-.f64 (+.f64 (fma.f64 z x (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 z x (*.f64 (*.f64 #s(literal -2 binary64) x) z)) (*.f64 (*.f64 x x) z)) (*.f64 (*.f64 x x) z)) (neg.f64 t))) x) (*.f64 (*.f64 #s(literal 2 binary64) x) z)) (neg.f64 t)) z))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (+.f64 t x) (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (+.f64 t x) #s(literal -1 binary64))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z x x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (/.f64 (neg.f64 t) x)) (+.f64 (fma.f64 (/.f64 t x) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) x) (/.f64 t x) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))))) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
(/.f64 (-.f64 (pow.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) x))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (+.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x t) (/.f64 x t))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x t) (*.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) t) (/.f64 x t))) (*.f64 (/.f64 x t) (/.f64 x t)))) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (fma.f64 (fma.f64 t x (*.f64 (neg.f64 x) x)) t (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) (*.f64 z y)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 y t) x) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 y t) y) (fma.f64 (/.f64 y t) x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 y t) x) #s(literal 2 binary64))) (/.f64 (/.f64 t y) y)) (fma.f64 (/.f64 y t) x y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
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)
Calls

5 calls:

20.0ms
t
15.0ms
z
15.0ms
x
14.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
13.0ms
y
Results
AccuracySegmentsBranch
76.5%3t
69.6%2x
81.5%2y
76.1%3z
73.8%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes15.0ms (0.2%)

Memory
-4.3MiB live, 32.2MiB allocated
Counts
38 → 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) 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 (+ 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t 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 #s(approx (- t x) (neg.f64 x)) z)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (/.f64 t y)))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) 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 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 #s(approx (- (+ (- (/ x t) (* (/ x t) (/ x t))) 1) (+ (* 2 (+ (/ x t) (* (/ (- x (* 2 x)) t) (/ x t)))) (* (/ x t) (/ x t)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) x)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (+.f64 t x) (*.f64 t t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (*.f64 (-.f64 (neg.f64 x) t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) #s(approx (* (+ x t) (* x x)) (*.f64 (*.f64 x x) t))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (*.f64 (neg.f64 t) (-.f64 (/.f64 (-.f64 (+.f64 (fma.f64 z x (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 z x (*.f64 (*.f64 #s(literal -2 binary64) x) z)) (*.f64 (*.f64 x x) z)) (*.f64 (*.f64 x x) z)) (neg.f64 t))) x) (*.f64 (*.f64 #s(literal 2 binary64) x) z)) (neg.f64 t)) z))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (+.f64 t x) (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (+.f64 t x) #s(literal -1 binary64))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z x x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) (*.f64 (-.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (/.f64 (neg.f64 t) x)) (+.f64 (fma.f64 (/.f64 t x) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) x) (/.f64 t x) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))))) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
(/.f64 (-.f64 (pow.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) 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:

13.0ms
y
Results
AccuracySegmentsBranch
77.0%2y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes14.0ms (0.2%)

Memory
1.9MiB live, 41.2MiB allocated
Counts
8 → 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) 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 (+ 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
Calls

4 calls:

4.0ms
z
3.0ms
y
3.0ms
t
3.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
70.8%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
70.7%3z
67.2%4t
72.0%3y
Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes11.0ms (0.1%)

Memory
-12.9MiB live, 26.2MiB allocated
Counts
7 → 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) 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 (+ 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #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

3 calls:

3.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
70.8%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
63.9%3x
67.0%2y
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes7.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) 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)))
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
y
2.0ms
z
Results
AccuracySegmentsBranch
67.0%2y
62.7%2z
66.6%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes7.0ms (0.1%)

Memory
-32.5MiB live, 12.9MiB 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) z))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) z))))
Calls

2 calls:

5.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
y
Results
AccuracySegmentsBranch
66.6%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
59.7%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0%)

Memory
12.4MiB live, 12.4MiB 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
t
2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
59.7%1t
65.4%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes7.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB 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
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.0ms
x
1.0ms
t
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
15.6%1t
15.6%1y
15.6%1x
15.6%1z
15.6%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

bsearch17.0ms (0.2%)

Memory
-6.7MiB live, 31.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.178512424242698e-74
2.7723228615842567e-72
Samples
10.0ms110×0valid
0.0ms1valid
Compiler

Compiled 158 to 173 computations (-9.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.1% of total)
ival-mult: 2.0ms (38.1% of total)
ival-add: 1.0ms (19% of total)
ival-tanh: 1.0ms (19% of total)
adjust: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
-10.1MiB live, 27.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
2.178512424242698e-74
2.7723228615842567e-72
Samples
7.0ms92×0valid
1.0ms1valid
Compiler

Compiled 109 to 145 computations (-33% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (21% of total)
ival-tanh: 1.0ms (21% of total)
ival-mult: 1.0ms (21% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Memory
-5.4MiB live, 32.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
8.043051084185717e+101
1.4328531756921052e+105
1.0ms
2.178512424242698e-74
2.7723228615842567e-72
Samples
9.0ms127×0valid
0.0ms1valid
Compiler

Compiled 221 to 296 computations (-33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.6% of total)
ival-mult: 2.0ms (33.6% of total)
ival-sub: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
ival-tanh: 1.0ms (16.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3780536794998885e+306
+inf
0.0ms
-1.523202298289671e+282
-1.2132295560300336e+280
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.178512424242698e-74
2.7723228615842567e-72
Compiler

Compiled 109 to 159 computations (-45.9% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3780536794998885e+306
+inf
0.0ms
-1.523202298289671e+282
-1.2132295560300336e+280
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3780536794998885e+306
+inf
0.0ms
-1.523202298289671e+282
-1.2132295560300336e+280
Compiler

Compiled 18 to 19 computations (-5.6% saved)

simplify43.0ms (0.5%)

Memory
-12.9MiB live, 40.0MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative-binary64-*.f64
22×+-commutative-binary64-+.f64
18×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093722
1123722
2137722
3144722
4147722
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(if (<=.f64 y #s(literal 2864581841720371/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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))) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x))
(if (<=.f64 y #s(literal 167846592288303/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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 y #s(literal 167846592288303/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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 7799999999999999696655394366466965163039811178703160022699930903572619566894167084875563843822446182400 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -1000000000000000032782245982862098248570705283021493564263333577440942603197374335927934378672411793053817497581824150818701634676910695695993991101293042521124778804245620065815273272355149596490328548912510300629092601392444835652130948564826004622078785676810855105701264700211200 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 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 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 167846592288303/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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 -1000000000000000032782245982862098248570705283021493564263333577440942603197374335927934378672411793053817497581824150818701634676910695695993991101293042521124778804245620065815273272355149596490328548912510300629092601392444835652130948564826004622078785676810855105701264700211200 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 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 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 t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) #s(approx (- x (* z x)) (*.f64 (neg.f64 x) z))))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -1000000000000000032782245982862098248570705283021493564263333577440942603197374335927934378672411793053817497581824150818701634676910695695993991101293042521124778804245620065815273272355149596490328548912510300629092601392444835652130948564826004622078785676810855105701264700211200 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 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 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
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(if (<=.f64 y #s(literal 2864581841720371/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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))) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x))
(if (<=.f64 y #s(literal 167846592288303/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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 y #s(literal 167846592288303/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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 7799999999999999696655394366466965163039811178703160022699930903572619566894167084875563843822446182400 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))))
(if (<=.f64 y #s(literal 167846592288303/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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 7799999999999999696655394366466965163039811178703160022699930903572619566894167084875563843822446182400 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (- (* (* t t) (+ x t)) (* (+ x t) (* x x))) (* (+ x t) (+ x t))) z) x) (-.f64 x (*.f64 z x)))) (+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 z t))) x)))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))

soundness1.0s (11%)

Memory
42.5MiB live, 976.3MiB allocated
Rules
14 616×lower-fma.f64
14 616×lower-fma.f32
11 204×lower-fma.f64
11 204×lower-fma.f32
9 934×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102533528
1346028932
0841528252
057337707
1192228203
2754328195
0879027511
04399242
114846963
261496572
091926439
034234
054233
1230233
21897233
08145231
088029513
1295424971
0841724353
01244
02044
19944
287144
0820843
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 484 to 338 computations (30.2% saved)

preprocess67.0ms (0.7%)

Memory
-19.3MiB live, 137.3MiB allocated
Remove

(abs y)

Compiler

Compiled 678 to 252 computations (62.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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