SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 11.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze77.0ms (0.7%)

Memory
-17.3MiB live, 101.2MiB 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)

sample1.5s (13.3%)

Memory
27.5MiB live, 1 566.2MiB allocated
Samples
1.1s8 053×0valid
33.0ms203×1valid
Precisions
Click to see histograms. Total time spent on operations: 795.0ms
ival-div: 413.0ms (52% of total)
ival-mult: 171.0ms (21.5% of total)
ival-tanh: 88.0ms (11.1% of total)
ival-add: 69.0ms (8.7% of total)
ival-sub: 38.0ms (4.8% of total)
ival-true: 7.0ms (0.9% of total)
adjust: 4.0ms (0.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain260.0ms (2.3%)

Memory
6.1MiB live, 315.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-0-(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
00-0-(/.f64 x y)
00-0-(/.f64 t y)
00-0-t
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-(tanh.f64 (/.f64 x y))
00-0-z
00-0-(tanh.f64 (/.f64 t y))
00-0-y
00-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*o130
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u40
(*.f64 y z)overflow38
(/.f64 t y)underflow25
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow50
(tanh.f64 (/.f64 x y))underflow33
(/.f64 x y)underflow33
(tanh.f64 (/.f64 t y))underflow25
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*u20
Confusion
Predicted +Predicted -
+190
-0237
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1900
-00237
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0237
119
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms434×0valid
17.0ms68×2valid
2.0ms10×1valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 17.0ms (37.1% of total)
ival-div: 13.0ms (28.4% of total)
ival-tanh: 6.0ms (13.1% of total)
adjust: 3.0ms (6.5% of total)
ival-sub: 3.0ms (6.5% of total)
ival-add: 3.0ms (6.5% of total)
ival-true: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess478.0ms (4.3%)

Memory
-43.7MiB live, 175.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.9%
(+.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)

simplify148.0ms (1.3%)

Memory
-11.5MiB live, 233.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
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)

localize62.0ms (0.6%)

Memory
-3.8MiB live, 74.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.00390625
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy0.015625
(tanh.f64 (/.f64 x y))
accuracy4.5758183114090905
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
44.0ms217×0valid
8.0ms34×2valid
1.0ms1valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 30.0ms (71.4% of total)
ival-div: 5.0ms (11.9% of total)
ival-tanh: 3.0ms (7.1% of total)
ival-add: 2.0ms (4.8% of total)
adjust: 1.0ms (2.4% of total)
ival-sub: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.8%)

Memory
-3.1MiB live, 116.7MiB allocated
Counts
5 → 180
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
26.0ms
z
@0
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)))
10.0ms
y
@-inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)))
10.0ms
y
@inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)))
7.0ms
x
@-inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)))
5.0ms
t
@inf
((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)))

simplify179.0ms (1.6%)

Memory
-13.0MiB live, 143.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite333.0ms (3%)

Memory
22.2MiB live, 144.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
02044
19944
287144
0820843
Stop Event
iter limit
node limit
iter limit
Counts
5 → 266
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
Outputs
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eval360.0ms (3.2%)

Memory
-11.3MiB live, 110.2MiB allocated
Compiler

Compiled 20 145 to 1 630 computations (91.9% saved)

prune147.0ms (1.3%)

Memory
-6.8MiB live, 32.3MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4375442
Fresh000
Picked101
Done000
Total4385443
Accuracy
100.0%
Counts
443 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
88.0%
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
68.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
62.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Compiler

Compiled 134 to 106 computations (20.9% saved)

simplify184.0ms (1.6%)

Memory
32.4MiB live, 218.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(*.f64 z y)
cost-diff128
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
cost-diff640
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
cost-diff0
(-.f64 t x)
cost-diff0
(fma.f64 (-.f64 t x) z x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
cost-diff0
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036304
061298
1145294
2372294
3995294
43139294
57915294
08410292
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
x
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))
(*.f64 z y)
z
y
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))
(*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 x y)
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x)
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
x
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 z y)
z
y
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))
(*.f64 (*.f64 (neg.f64 z) (tanh.f64 (/.f64 x y))) y)
(*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 x y)

localize157.0ms (1.4%)

Memory
-20.1MiB live, 272.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
accuracy0.015625
(tanh.f64 (/.f64 x y))
accuracy5.041175383970057
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))
accuracy7.480857083877595
(*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))
accuracy0.00390625
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy0.00390625
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
accuracy4.5758183114090905
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
accuracy29.702415420838875
#s(approx (tanh (/ x y)) (/.f64 x y))
accuracy0.00390625
(/.f64 (-.f64 t x) y)
accuracy0.00390625
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
accuracy4.5758183114090905
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy41.69509040823117
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy0
(-.f64 t x)
accuracy0.00390625
(fma.f64 (-.f64 t x) z x)
accuracy23.786691524808475
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy0.00390625
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
accuracy0.00390625
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy0.015625
(tanh.f64 (/.f64 x y))
accuracy2.663120026428852
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
Samples
52.0ms216×0valid
37.0ms3valid
19.0ms34×2valid
3.0ms1valid
Compiler

Compiled 269 to 27 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 15.0ms (32.1% of total)
ival-mult: 14.0ms (30% of total)
ival-add: 7.0ms (15% of total)
adjust: 4.0ms (8.6% of total)
ival-sub: 3.0ms (6.4% of total)
ival-tanh: 3.0ms (6.4% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series136.0ms (1.2%)

Memory
-9.6MiB live, 264.9MiB allocated
Counts
21 → 780
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))) (patch (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))) (patch (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) (patch (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ 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))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ 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))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ 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))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (* 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 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ t (* 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 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (- (/ 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>) () ())) ())
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) (patch (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) (patch (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) (patch (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) (patch (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
21.0ms
z
@0
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
16.0ms
y
@0
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
11.0ms
y
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
7.0ms
x
@-inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
6.0ms
y
@inf
((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))

simplify320.0ms (2.9%)

Memory
31.5MiB live, 545.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083537218
1279528203
0947627533
Stop Event
iter limit
node limit
Counts
780 → 756
Calls
Call 1
Inputs
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(/ t y)
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(* -1 x)
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(* t z)
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))
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t
(* t (+ 1 (* -1 (/ x t))))
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(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 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)))))) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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)))))) x) (neg.f64 x) x)
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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))))))
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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))))))
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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))))))
(- (+ (/ 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)))))
(- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (*.f64 z y) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (*.f64 z y) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (*.f64 z y) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(*.f64 (*.f64 z y) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
x
(* -1 (* x (- (* -1 (/ (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) x)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x)
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))

rewrite204.0ms (1.8%)

Memory
-0.9MiB live, 149.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036240
061234
1273230
22358230
08319228
Stop Event
iter limit
node limit
iter limit
Counts
21 → 632
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
(*.f64 z y)
(tanh.f64 (/.f64 x y))
(/.f64 (-.f64 t x) y)
#s(approx (tanh (/ x y)) (/.f64 x y))
(*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))
Outputs
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eval328.0ms (2.9%)

Memory
16.1MiB live, 295.9MiB allocated
Compiler

Compiled 60 645 to 3 764 computations (93.8% saved)

prune214.0ms (1.9%)

Memory
-5.7MiB live, 112.2MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 591281 619
Fresh000
Picked325
Done000
Total1 594301 624
Accuracy
100.0%
Counts
1 624 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
71.8%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
68.6%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
53.4%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
49.9%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
44.4%
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) z) x)))))
72.4%
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
31.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
22.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
35.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
27.4%
(+.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)))))
28.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
28.2%
(+.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)))))
24.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
47.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
26.3%
(+.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))))))
56.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
46.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
25.8%
#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))
42.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
42.3%
#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))
62.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
61.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
58.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
55.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
54.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
48.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
27.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
18.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 935 to 706 computations (24.5% saved)

simplify202.0ms (1.8%)

Memory
6.3MiB live, 126.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
cost-diff704
(/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x))))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
cost-diff0
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x))
cost-diff0
(fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
cost-diff1024
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)
cost-diff0
(*.f64 t z)
cost-diff0
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))
cost-diff128
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050432
078402
1166396
2399380
31027380
44163352
08065345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
x
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))
(*.f64 z y)
z
y
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))
(*.f64 z x)
#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
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
(fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 t x) #s(literal 1 binary64))
(/.f64 t x)
t
x
#s(literal 1 binary64)
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
#s(literal 1 binary64)
(/.f64 y (-.f64 t x))
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x))))
#s(literal 1 binary64)
(/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))
(+.f64 x t)
t
(*.f64 (+.f64 x t) (-.f64 t x))
(-.f64 t x)
Outputs
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
x
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))
(*.f64 z y)
(*.f64 y z)
z
y
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))
(*.f64 z x)
#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
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (-.f64 t x)) z x))
(fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)
(fma.f64 #s(approx (- t x) (-.f64 t x)) z x)
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x))
#s(approx (- t x) (-.f64 t x))
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)
(-.f64 t x)
(-.f64 (/.f64 t x) #s(literal 1 binary64))
(/.f64 t x)
t
x
#s(literal 1 binary64)
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
(/.f64 (-.f64 t x) y)
#s(literal 1 binary64)
(/.f64 y (-.f64 t x))
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)
(/.f64 (-.f64 t x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x))))
(-.f64 t x)
#s(literal 1 binary64)
(/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (-.f64 t x))
(+.f64 x t)
(+.f64 t x)
t
(*.f64 (+.f64 x t) (-.f64 t x))
(*.f64 (+.f64 t x) (-.f64 t x))
(-.f64 t x)

localize223.0ms (2%)

Memory
-24.8MiB live, 212.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x))))
accuracy4.335956378551855
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)))
accuracy31.751737030600026
(/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))
accuracy41.69509040823117
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))
accuracy0.01171875
(/.f64 y (-.f64 t x))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))
accuracy4.335956378551855
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
accuracy41.69509040823117
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))
accuracy0
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x))
accuracy0.00390625
(-.f64 (/.f64 t x) #s(literal 1 binary64))
accuracy8.013301084657408
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)
accuracy23.786691524808475
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
accuracy0
(*.f64 t z)
accuracy23.786691524808475
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy38.18386787601949
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy0
(neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
accuracy0.00390625
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
accuracy4.801313451112821
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))
accuracy26.922152780087647
#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))
Samples
90.0ms34×2valid
80.0ms216×0valid
2.0ms1valid
1.0ms5exit
Compiler

Compiled 302 to 36 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sub: 19.0ms (27.5% of total)
ival-mult: 17.0ms (24.6% of total)
ival-div: 14.0ms (20.3% of total)
ival-add: 8.0ms (11.6% of total)
adjust: 6.0ms (8.7% of total)
ival-tanh: 3.0ms (4.3% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series104.0ms (0.9%)

Memory
12.1MiB live, 177.3MiB allocated
Counts
25 → 888
Calls
Call 1
Inputs
#s(alt (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) (patch (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) (patch (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- 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 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x) (patch (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x) #<representation binary64>) () ())
#s(alt #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) (patch #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x))) (patch (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x))) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)) (patch #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (patch (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 t x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 t x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 t x)) (patch (/.f64 y (-.f64 t x)) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)) #<representation binary64>) () ())
Outputs
#s(alt (- x (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) (patch (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t z)) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) (patch (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) (patch (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.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 (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) (patch (+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) (patch (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (- (* t z) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) (patch (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (- (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) (patch (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) #<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 (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) (patch (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
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#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))) #<representation binary64>) () ())) ())
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#s(alt (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)) (patch #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (/.f64 t x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 t x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ t x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 t x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 t x) #s(literal 1 binary64)) #<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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 t x)) (patch (/.f64 y (-.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (/ (* t y) x)) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 t x)) (patch (/.f64 y (-.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow t 2) y) x)) (* t y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 t x)) (patch (/.f64 y (-.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) y) x) (* -1 (* (pow t 2) y))) x)) (* t y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 t x)) (patch (/.f64 y (-.f64 t x)) #<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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t 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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t 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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t 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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
6.0ms
z
@0
((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (* (- (/ t x) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (neg (* (* z y) (tanh (/ x y)))) (- (/ t x) 1) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
5.0ms
t
@0
((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (* (- (/ t x) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (neg (* (* z y) (tanh (/ x y)))) (- (/ t x) 1) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
4.0ms
t
@-inf
((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (* (- (/ t x) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (neg (* (* z y) (tanh (/ x y)))) (- (/ t x) 1) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
4.0ms
t
@inf
((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (* (- (/ t x) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (neg (* (* z y) (tanh (/ x y)))) (- (/ t x) 1) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))
4.0ms
z
@-inf
((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (* (- (/ t x) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (/ 1 (/ y (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (neg (* (* z y) (tanh (/ x y)))) (- (/ t x) 1) (- (tanh (/ t y)) (tanh (/ x y))) (/ y (- t x)) (- (tanh (/ t y)) (tanh (/ x y))))

simplify344.0ms (3.1%)

Memory
9.7MiB live, 518.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095934198
1316929582
0860328872
Stop Event
iter limit
node limit
Counts
888 → 857
Calls
Call 1
Inputs
(- x (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (+ x (* t z)) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (+ x (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (* t z) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(/ t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ 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 z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(* t z)
(* t z)
(* t z)
(* t z)
(* -1 x)
(+ t (* -1 x))
(+ t (* -1 x))
(+ t (* -1 x))
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
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rewrite225.0ms (2%)

Memory
24.6MiB live, 340.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050369
078345
1330315
22746315
08958308
Stop Event
iter limit
node limit
iter limit
Counts
25 → 446
Calls
Call 1
Inputs
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#s(approx (+ (* (- t x) z) x) (*.f64 t z))
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Outputs
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eval264.0ms (2.4%)

Memory
0.2MiB live, 381.0MiB allocated
Compiler

Compiled 44 966 to 3 309 computations (92.6% saved)

prune104.0ms (0.9%)

Memory
-32.4MiB live, 152.5MiB allocated
Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1 311181 329
Fresh71623
Picked235
Done022
Total1 320391 359
Accuracy
100.0%
Counts
1 359 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
68.6%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
53.4%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
49.9%
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
72.4%
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
22.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
35.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
47.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))))
51.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) y))))
57.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
56.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
27.4%
(+.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)))))
28.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
24.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 t x) #s(literal -1 binary64)) (-.f64 t x)) (+.f64 t x)) y))))
47.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
56.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
46.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (neg.f64 x)))))))
48.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (/.f64 (fma.f64 y x (/.f64 (neg.f64 (fma.f64 (*.f64 x x) y (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) t))) (neg.f64 t))) (neg.f64 t)) y) (neg.f64 t)))))))
42.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
60.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
47.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
55.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
44.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
56.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
46.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
25.8%
#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))
42.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
42.3%
#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))
62.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
61.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
58.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
61.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
61.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) 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))
54.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
27.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
18.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 286 to 971 computations (24.5% saved)

simplify134.0ms (1.2%)

Memory
10.6MiB live, 154.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))))
cost-diff192
(fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
cost-diff1024
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))
cost-diff0
(*.f64 (+.f64 x t) (-.f64 t x))
cost-diff0
(fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
cost-diff1408
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
cost-diff0
(-.f64 t x)
cost-diff0
(*.f64 (-.f64 t x) z)
cost-diff0
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x)
cost-diff0
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052505
078497
1177425
2420403
3974403
43221403
08472399
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x)
(*.f64 y z)
y
z
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
x
#s(approx (* (* z y) (tanh (/ x y))) (*.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 t x) z)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
t
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
(*.f64 (+.f64 x t) (-.f64 t x))
(+.f64 x t)
x
t
(-.f64 t x)
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))
(*.f64 (+.f64 x t) (-.f64 t x))
(+.f64 x t)
t
(-.f64 t x)
(*.f64 y (+.f64 x t))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 t x)
t
#s(literal -1 binary64)
Outputs
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y) (-.f64 x #s(approx (* (* z y) (tanh (/ x y))) (*.f64 x z))))
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x)
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y) x)
(*.f64 y z)
(*.f64 z y)
y
z
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
x
#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))
#s(approx (* (* z y) (tanh (/ x y))) (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
t
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)
(fma.f64 (-.f64 t x) z x)
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
(-.f64 t x)
(*.f64 (+.f64 x t) (-.f64 t x))
(+.f64 x t)
x
t
(-.f64 t x)
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(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 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))
(*.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 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))
(/.f64 (-.f64 t x) y)
(*.f64 (+.f64 x t) (-.f64 t x))
(+.f64 x t)
t
(-.f64 t x)
(*.f64 y (+.f64 x t))
(*.f64 (+.f64 x t) y)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))))
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x)))) (*.f64 z y) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)))
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x)))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
#s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x))
(/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x)
(fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 t x))
(/.f64 t x)
t
#s(literal -1 binary64)

localize167.0ms (1.5%)

Memory
19.9MiB live, 178.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
accuracy4.335956378551855
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)))
accuracy31.751653285601893
#s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
accuracy41.69509040823117
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))
accuracy0.0078125
(*.f64 y (+.f64 x t))
accuracy4.335956378551855
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))
accuracy26.50702643235104
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))
accuracy41.69509040823117
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))
accuracy0
(+.f64 x t)
accuracy0
(*.f64 (+.f64 x t) (-.f64 t x))
accuracy23.786691524808475
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
accuracy31.676087726011158
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
accuracy0
(-.f64 t x)
accuracy0.01171875
(*.f64 (-.f64 t x) z)
accuracy23.786691524808475
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
accuracy23.851806495887054
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
accuracy0
(tanh.f64 (/.f64 t y))
accuracy1.6964349360675999
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
accuracy5.526867778994526
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x)
accuracy26.922152780087647
#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))
Samples
69.0ms216×0valid
37.0ms34×2valid
3.0ms1valid
1.0ms5exit
Compiler

Compiled 325 to 39 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 25.0ms (31.5% of total)
ival-sub: 19.0ms (23.9% of total)
ival-mult: 19.0ms (23.9% of total)
ival-add: 8.0ms (10.1% of total)
adjust: 5.0ms (6.3% of total)
ival-tanh: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series142.0ms (1.3%)

Memory
-36.4MiB live, 216.7MiB allocated
Counts
25 → 888
Calls
Call 1
Inputs
#s(alt (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (patch (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) (patch (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) (patch (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x) (patch (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x t) (-.f64 t x)) (patch (*.f64 (+.f64 x t) (-.f64 t x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))) (patch (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)) (patch #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))) #<representation binary64>) () ())
#s(alt (*.f64 y (+.f64 x t)) (patch (*.f64 y (+.f64 x t)) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)) (patch #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) #<representation binary64>) () ())
Outputs
#s(alt (- x (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (patch (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t z)) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (patch (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (patch (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.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 (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (patch (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 t) (#s(alt (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) (patch (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* t z)) (taylor 0 t) (#s(alt (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) (patch (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) (patch (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t 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)))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) (patch (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ())
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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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow t 3) x) (* -1 (pow t 2))) x)) t) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)) (patch #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ t x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ t x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
12.0ms
t
@inf
((- (+ (* (* y z) (tanh (/ t y))) x) (* (* z y) (tanh (/ x y)))) (+ (* (* y z) (tanh (/ t y))) x) (* y z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (* (+ x t) (- t x)) (* y (+ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (/ t x) -1) -1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* y (+ x t)) (- (tanh (/ t y)) (tanh (/ x y))) (/ (+ x t) (* (+ x t) (- t x))) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))))
6.0ms
z
@-inf
((- (+ (* (* y z) (tanh (/ t y))) x) (* (* z y) (tanh (/ x y)))) (+ (* (* y z) (tanh (/ t y))) x) (* y z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (* (+ x t) (- t x)) (* y (+ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (/ t x) -1) -1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* y (+ x t)) (- (tanh (/ t y)) (tanh (/ x y))) (/ (+ x t) (* (+ x t) (- t x))) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))))
5.0ms
x
@inf
((- (+ (* (* y z) (tanh (/ t y))) x) (* (* z y) (tanh (/ x y)))) (+ (* (* y z) (tanh (/ t y))) x) (* y z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (* (+ x t) (- t x)) (* y (+ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (/ t x) -1) -1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* y (+ x t)) (- (tanh (/ t y)) (tanh (/ x y))) (/ (+ x t) (* (+ x t) (- t x))) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))))
4.0ms
t
@-inf
((- (+ (* (* y z) (tanh (/ t y))) x) (* (* z y) (tanh (/ x y)))) (+ (* (* y z) (tanh (/ t y))) x) (* y z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (* (+ x t) (- t x)) (* y (+ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (/ t x) -1) -1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* y (+ x t)) (- (tanh (/ t y)) (tanh (/ x y))) (/ (+ x t) (* (+ x t) (- t x))) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))))
4.0ms
x
@-inf
((- (+ (* (* y z) (tanh (/ t y))) x) (* (* z y) (tanh (/ x y)))) (+ (* (* y z) (tanh (/ t y))) x) (* y z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (* (+ x t) (- t x)) (* y (+ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (/ t x) -1) -1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* z y) (tanh (/ x y))) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* y (+ x t)) (- (tanh (/ t y)) (tanh (/ x y))) (/ (+ x t) (* (+ x t) (- t x))) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))))

simplify282.0ms (2.5%)

Memory
35.3MiB live, 344.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089432169
1302226136
0852325434
Stop Event
iter limit
node limit
Counts
888 → 846
Calls
Call 1
Inputs
(- x (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (+ x (* t z)) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (+ x (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
x
(+ x (* t z))
(+ x (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))
(+ x (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))
(/ t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ 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))))))))))
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(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* t z))
(+ (* -1 (* x z)) (* t z))
(+ (* -1 (* x z)) (* t z))
(* -1 x)
(- t x)
(- t x)
(- t x)
(* -1 x)
(- t x)
(- t x)
(- t x)
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
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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))))))))))
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(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* t (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* t (+ t (+ x (* -1 x)))))
(+ (* -1 (pow x 2)) (* t (+ t (+ x (* -1 x)))))
(* -1 (/ x y))
(+ (* -1 (/ x y)) (/ t y))
(+ (* -1 (/ x y)) (/ t y))
(+ (* -1 (/ x y)) (/ t y))
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(* 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)))))))))
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(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
-1
(- (* -1 (/ t x)) 1)
(- (* -1 (/ t x)) 1)
(- (* -1 (/ t x)) 1)
(+ 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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(+ (* 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)))))))))
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x
(+ t x)
(+ t x)
(+ t x)
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
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(* x y)
(+ (* t y) (* x y))
(+ (* t y) (* x y))
(+ (* t y) (* x y))
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
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(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(*.f64 (neg.f64 (fma.f64 t (/.f64 y x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(*.f64 (neg.f64 (fma.f64 t (/.f64 y x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))
(*.f64 (neg.f64 (fma.f64 t (/.f64 y x) y)) (neg.f64 x))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ t x)) x))
(/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow t 3) x) (* -1 (pow t 2))) x)) t) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) x) (*.f64 t t)) (neg.f64 x)) t) x)) (neg.f64 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))

rewrite210.0ms (1.9%)

Memory
4.3MiB live, 300.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052422
078414
1343334
22854334
08207330
Stop Event
iter limit
node limit
iter limit
Counts
25 → 442
Calls
Call 1
Inputs
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x)
(*.f64 y z)
(tanh.f64 (/.f64 t y))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)
(*.f64 (+.f64 x t) (-.f64 t x))
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))
(fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y)))
#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))
(+.f64 x t)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))
(*.f64 y (+.f64 x t))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) y))
#s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
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eval232.0ms (2.1%)

Memory
71.5MiB live, 591.3MiB allocated
Compiler

Compiled 50 078 to 3 833 computations (92.3% saved)

prune133.0ms (1.2%)

Memory
-44.2MiB live, 193.0MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1 627161 643
Fresh121729
Picked325
Done145
Total1 643391 682
Accuracy
100.0%
Counts
1 682 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
68.6%
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
53.4%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
72.4%
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
42.1%
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
35.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
51.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) y))))
28.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
56.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
27.4%
(+.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)))))
28.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
47.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
13.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
43.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
48.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (/.f64 (fma.f64 y x (/.f64 (neg.f64 (fma.f64 (*.f64 x x) y (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) t))) (neg.f64 t))) (neg.f64 t)) y) (neg.f64 t)))))))
42.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
60.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
55.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
49.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
31.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
40.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
56.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
46.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
25.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
25.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t x)) (*.f64 (-.f64 x t) (+.f64 x t))) z x))
37.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
56.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
42.3%
#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))
62.8%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
55.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
61.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
61.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) z x))
27.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
27.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 z (pow.f64 (-.f64 t x) #s(literal -1 binary64)))))
27.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
21.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
26.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
13.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
18.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Compiler

Compiled 1 829 to 912 computations (50.1% saved)

regimes158.0ms (1.4%)

Memory
7.4MiB live, 166.6MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t 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 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (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))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) 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 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 z (pow.f64 (-.f64 t x) #s(literal -1 binary64)))))
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 t x) #s(literal -1 binary64)) (-.f64 t x)) (+.f64 t x)) y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) z) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (/.f64 (fma.f64 y x (/.f64 (neg.f64 (fma.f64 (*.f64 x x) y (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) t))) (neg.f64 t))) (neg.f64 t)) y) (neg.f64 t)))))))
(+.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))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

5 calls:

21.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.0ms
z
20.0ms
t
19.0ms
y
19.0ms
x
Results
AccuracySegmentsBranch
97.7%1x
99.6%2y
97.7%1z
97.7%1t
97.7%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes198.0ms (1.8%)

Memory
-24.7MiB live, 130.7MiB allocated
Counts
65 → 4
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t 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 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (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))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) 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 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 z (pow.f64 (-.f64 t x) #s(literal -1 binary64)))))
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 t x) #s(literal -1 binary64)) (-.f64 t x)) (+.f64 t x)) y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) z) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (/.f64 (fma.f64 y x (/.f64 (neg.f64 (fma.f64 (*.f64 x x) y (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) t))) (neg.f64 t))) (neg.f64 t)) y) (neg.f64 t)))))))
(+.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
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
Calls

5 calls:

87.0ms
x
41.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
28.0ms
z
20.0ms
y
18.0ms
t
Results
AccuracySegmentsBranch
87.5%4x
81.8%3z
85.2%3t
86.5%4(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
82.9%3y
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes68.0ms (0.6%)

Memory
19.1MiB live, 93.0MiB allocated
Counts
58 → 4
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t 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 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (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))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) 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 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 z (pow.f64 (-.f64 t x) #s(literal -1 binary64)))))
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
Outputs
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
Calls

3 calls:

29.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
19.0ms
t
16.0ms
x
Results
AccuracySegmentsBranch
86.5%4(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
84.9%3t
85.1%4x
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes58.0ms (0.5%)

Memory
10.3MiB live, 48.8MiB allocated
Counts
57 → 5
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t 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 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (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))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) 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 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 z (pow.f64 (-.f64 t x) #s(literal -1 binary64)))))
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
Calls

2 calls:

39.0ms
t
16.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
77.5%3t
87.0%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes117.0ms (1%)

Memory
-39.0MiB live, 149.0MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t 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 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (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))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) 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 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 z (pow.f64 (-.f64 t x) #s(literal -1 binary64)))))
Outputs
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

5 calls:

44.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
19.0ms
z
19.0ms
y
17.0ms
t
16.0ms
x
Results
AccuracySegmentsBranch
69.6%4t
71.4%5z
74.6%3y
71.4%3x
77.4%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes21.0ms (0.2%)

Memory
-10.4MiB live, 38.9MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t 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 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (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))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) 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 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
Outputs
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

1 calls:

18.0ms
y
Results
AccuracySegmentsBranch
72.9%2y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes51.0ms (0.5%)

Memory
5.2MiB live, 117.3MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (*.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t)) x)) 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)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t 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 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))
(-.f64 #s(approx (+ (* (* y z) (tanh (/ t y))) x) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (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))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (fma.f64 t (/.f64 y (*.f64 x x)) (/.f64 y x))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(approx (+ (* (/ t x) -1) -1) (/.f64 t (neg.f64 x))) x))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (+.f64 (/.f64 x t) #s(literal 1 binary64)) t))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) 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 (+.f64 x t) (/.f64 (-.f64 t x) y)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (*.f64 t t))) (*.f64 y (+.f64 x t))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x t)) (*.f64 (-.f64 x t) (*.f64 t t))) (*.f64 (-.f64 x t) (-.f64 x t)))) z x))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

3 calls:

17.0ms
x
16.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
16.0ms
y
Results
AccuracySegmentsBranch
66.6%2x
73.2%5(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
69.4%2y
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes7.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
Calls

2 calls:

3.0ms
y
3.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
66.1%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
67.8%2y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes204.0ms (1.8%)

Memory
-20.3MiB live, 23.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Calls

5 calls:

193.0ms
t
3.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
3.0ms
y
3.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
63.5%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
55.4%1t
58.7%3x
65.8%3z
55.4%1y
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes11.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
Calls

5 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
27.1%1t
27.1%1y
27.1%1x
27.1%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
27.1%1z
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes17.0ms (0.2%)

Memory
-10.9MiB live, 27.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Calls

5 calls:

10.0ms
z
2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
22.8%3x
20.0%2y
18.4%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
18.4%1z
23.5%3t
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes6.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
18.4%1z
18.4%1y
18.4%1x
18.4%1t
Compiler

Compiled 4 to 16 computations (-300% saved)

bsearch5.0ms (0%)

Memory
-32.7MiB live, 4.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
4.4677636783930694e+176
4.774088606205322e+176
Samples
1.0ms16×0valid
Compiler

Compiled 39 to 39 computations (0% saved)

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

bsearch58.0ms (0.5%)

Memory
34.5MiB live, 71.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.76730129501734e+150
1.8691057871016792e+151
27.0ms
1.5091997711343371e+83
3.4682527119379683e+84
17.0ms
-3.275516720678167e+77
-3.07848249615853e+72
Samples
39.0ms334×0valid
1.0ms1valid
Compiler

Compiled 676 to 568 computations (16% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 19.0ms (62.3% of total)
ival-mult: 4.0ms (13.1% of total)
ival-tanh: 3.0ms (9.8% of total)
ival-add: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% 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
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.220763373514226e+304
+inf
0.0ms
1.5091997711343371e+83
3.4682527119379683e+84
0.0ms
-1.716978953612823e+113
-1.3789091766989683e+111
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.220763373514226e+304
+inf
0.0ms
1.5091997711343371e+83
3.4682527119379683e+84
0.0ms
-7.176751630513578e+173
-3.909025575774947e+170
0.0ms
-7.59044286327827e+298
-1.8804811042505554e+296
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch74.0ms (0.7%)

Memory
4.3MiB live, 43.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.510931039498945e-12
3.1669050510488665e-9
56.0ms
8.752992112388113e-60
2.3200618340211488e-58
Samples
60.0ms235×0valid
1.0ms1valid
Compiler

Compiled 690 to 545 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-tanh: 45.0ms (83% of total)
ival-div: 3.0ms (5.5% of total)
ival-mult: 3.0ms (5.5% of total)
ival-add: 1.0ms (1.8% of total)
ival-sub: 1.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Memory
-12.5MiB live, 23.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
1.6033911454562452e-13
4.510931039498945e-12
Samples
42.0ms109×0valid
1.0ms1valid
Compiler

Compiled 263 to 222 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.2% of total)
ival-mult: 1.0ms (17.6% of total)
ival-add: 1.0ms (17.6% of total)
ival-tanh: 1.0ms (17.6% 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)

bsearch48.0ms (0.4%)

Memory
-14.7MiB live, 21.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
1.1307116764355267e-60
8.752992112388113e-60
Samples
42.0ms94×0valid
0.0ms1valid
Compiler

Compiled 126 to 133 computations (-5.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 37.0ms (92.9% of total)
ival-div: 1.0ms (2.5% of total)
ival-tanh: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
4.510931039498945e-12
3.1669050510488665e-9
Samples
8.0ms111×0valid
0.0ms1valid
Compiler

Compiled 130 to 155 computations (-19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38% of total)
ival-add: 1.0ms (19% of total)
ival-mult: 1.0ms (19% of total)
ival-sub: 1.0ms (19% of total)
ival-tanh: 1.0ms (19% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch90.0ms (0.8%)

Memory
4.7MiB live, 40.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
72.0ms
0.002950485141433289
11.375966024141059
15.0ms
-2.9127606296764017e+29
-1.5461417301948283e+25
Samples
76.0ms256×0valid
Compiler

Compiled 242 to 307 computations (-26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 61.0ms (88.2% of total)
ival-div: 4.0ms (5.8% of total)
ival-tanh: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch66.0ms (0.6%)

Memory
2.8MiB live, 45.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.6947110042746164e-113
6.724032288145747e-111
50.0ms
-2.4269142134546646e-119
-1.1755536046810622e-119
Samples
55.0ms188×0valid
1.0ms1valid
Compiler

Compiled 162 to 235 computations (-45.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 44.0ms (87.6% of total)
ival-div: 3.0ms (6% of total)
ival-tanh: 2.0ms (4% of total)
ival-add: 1.0ms (2% of total)
ival-sub: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify98.0ms (0.9%)

Memory
-7.2MiB live, 66.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01501080
12031079
22601067
33291067
44541067
56251067
68711067
711361067
813691067
915131067
1016281067
1116901067
1217131067
1317211067
1417231067
1517231067
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 x #s(literal -3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 x #s(literal 169999999999999990409162082331241787254084548952196818287923132520688910388277805056 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x) (if (<=.f64 x #s(literal 18499999999999998646055283283631955420282484413554662935929678042788519188719029911682496813477946737797293383499353454602022889511360814432240170696704 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t))))))))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t))))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x))))))))
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -500000000000000034478783768422291468839913049176218549546891415298328160321104377283093399808452642713299991464708729440150191950239130597851790859288683698879916192875675648 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t))))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) (-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x) #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t))))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 z t (*.f64 z (neg.f64 x)))))))))
(if (<=.f64 y #s(literal 5795258372473101/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t))))))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 t y))) x)) (neg.f64 x))))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 5199348164998597/1237940039285380274899124224 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t))))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 1628326254899759/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 2030995376952577/19342813113834066795298816 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 z #s(literal -15499999999999998934646784 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 7493989779944505/144115188075855872 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
(if (<=.f64 t #s(literal -8540355010473381/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 t #s(literal 7278257947067139/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
Outputs
(if (<=.f64 y #s(literal 450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 x #s(literal -3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 x #s(literal 169999999999999990409162082331241787254084548952196818287923132520688910388277805056 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x) (if (<=.f64 x #s(literal 18499999999999998646055283283631955420282484413554662935929678042788519188719029911682496813477946737797293383499353454602022889511360814432240170696704 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) y) t)) t) y)) (neg.f64 t))))))))))
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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)))

soundness1.6s (14.7%)

Memory
29.7MiB live, 1 582.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050369
078345
1330315
22746315
08958308
083537218
1279528203
0947627533
052422
078414
1343334
22854334
08207330
036240
061234
1273230
22358230
08319228
04479354
115157627
262637212
093657079
089432169
1302226136
0852325434
095934198
1316929582
0860328872
01244
02044
19944
287144
0820843
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 183 to 611 computations (48.4% saved)

preprocess184.0ms (1.6%)

Memory
-14.5MiB live, 220.4MiB allocated
Compiler

Compiled 1 334 to 380 computations (71.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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