SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 12.4s)

analyze77.0ms (0.6%)

Memory
13.2MiB live, 131.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
50%49.9%49.9%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
75%74.9%25%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
87.5%87.3%12.5%0.2%0%0%0%11
87.5%87.3%12.5%0.2%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (9%)

Memory
22.4MiB live, 1 793.2MiB allocated
Samples
785.0ms8 028×0valid
47.0ms228×1valid
Precisions
Click to see histograms. Total time spent on operations: 603.0ms
ival-mult: 188.0ms (31.2% of total)
ival-div: 185.0ms (30.7% of total)
ival-tanh: 135.0ms (22.4% of total)
ival-sub: 43.0ms (7.1% of total)
ival-add: 40.0ms (6.6% of total)
ival-true: 6.0ms (1% of total)
adjust: 3.0ms (0.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess464.0ms (3.7%)

Memory
8.1MiB live, 690.1MiB allocated
Algorithm
egg-herbie
Rules
12 492×accelerator-lowering-fma.f32
12 492×accelerator-lowering-fma.f64
3 782×*-lowering-*.f32
3 782×*-lowering-*.f64
2 164×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078238
1406236
21196225
34706225
01215
15415
215715
341915
4165315
5637515
0839014
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
Outputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Call 2
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))))
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))))
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))))
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))))
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x)))))
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y)))))
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z)))))
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t)))))
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y)))))
Outputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))
(- (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))) x)
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ x (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))
(- x (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))))
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))))
(- x (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))))
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))))
(- (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))) x)
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))))
(- (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))))
(- (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))) x)
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x)))))
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y)))))
(+ z (* (* x y) (- (tanh (/ t y)) (tanh (/ z y)))))
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z)))))
(+ x (* (* y z) (- (tanh (/ t z)) (tanh (/ x z)))))
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t)))))
(+ x (* (* z t) (- (tanh (/ y t)) (tanh (/ x t)))))
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y)))))
(+ x (* y (* t (- (tanh (/ z y)) (tanh (/ x y))))))
Symmetry

(abs y)

explain172.0ms (1.4%)

Memory
12.6MiB live, 320.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
160-0-(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
00-0-(/.f64 x y)
00-0-(/.f64 t y)
00-0-t
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-(tanh.f64 (/.f64 x y))
00-0-z
00-0-(tanh.f64 (/.f64 t y))
00-0-y
00-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*o70
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u30
(*.f64 y z)overflow24
(/.f64 t y)underflow31
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow51
(tanh.f64 (/.f64 x y))underflow21
(/.f64 x y)underflow21
(tanh.f64 (/.f64 t y))underflow31
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*u30
Confusion
Predicted +Predicted -
+131
-0242
Precision
1.0
Recall
0.9285714285714286
Confusion?
Predicted +Predicted MaybePredicted -
+1301
-00242
Precision?
1.0
Recall?
0.9285714285714286
Freqs
test
numberfreq
0243
113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms426×0valid
17.0ms74×2valid
2.0ms12×1valid
Compiler

Compiled 158 to 52 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 10.0ms (28.6% of total)
ival-mult: 8.0ms (22.9% of total)
ival-tanh: 8.0ms (22.9% of total)
ival-add: 4.0ms (11.4% of total)
ival-sub: 3.0ms (8.6% of total)
adjust: 2.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify380.0ms (3.1%)

Memory
-29.8MiB live, 677.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Rules
12 492×accelerator-lowering-fma.f32
12 492×accelerator-lowering-fma.f64
3 782×*-lowering-*.f32
3 782×*-lowering-*.f64
2 164×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
15458
215758
341958
4165358
5637558
0839057
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
x
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
(* y z)
y
z
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(/ t y)
t
(tanh (/ x y))
(/ x y)
Outputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(* y z)
(*.f64 y z)
y
z
(- (tanh (/ t y)) (tanh (/ x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh (/ t y))
(tanh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)

localize45.0ms (0.4%)

Memory
9.8MiB live, 121.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy100.0%
(tanh.f64 (/.f64 x y))
accuracy100.0%
(tanh.f64 (/.f64 t y))
accuracy94.3%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
19.0ms213×0valid
11.0ms37×2valid
1.0ms1valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-tanh: 8.0ms (38.8% of total)
ival-div: 5.0ms (24.2% of total)
ival-mult: 4.0ms (19.4% of total)
ival-sub: 1.0ms (4.8% of total)
adjust: 1.0ms (4.8% of total)
ival-add: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
18.9MiB live, 169.4MiB allocated
Counts
6 → 204
Calls
Call 1
Inputs
#<alt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))>
#<alt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))>
#<alt (* y z)>
#<alt (- (tanh (/ t y)) (tanh (/ x y)))>
#<alt (tanh (/ t y))>
#<alt (tanh (/ x y))>
Outputs
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt x>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt x>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))>
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))>
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))>
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))>
#<alt x>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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)))))))))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))>
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#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<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))))))>
#<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))))))>
#<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)))))))>
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#<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)))))))>
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#<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)))))))>
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#<alt (/ (- t x) y)>
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)>
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#<alt (- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<alt (/ t y)>
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))>
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<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)))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ t y)>
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)>
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)>
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y)>
#<alt (/ t y)>
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
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#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)>
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#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
Calls

51 calls:

TimeVariablePointExpression
9.0ms
t
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
8.0ms
x
@inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms
y
@inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms
y
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms
y
@inf
(- (tanh (/ t y)) (tanh (/ x y)))

rewrite940.0ms (7.6%)

Memory
-25.9MiB live, 511.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 094×*-lowering-*.f32
5 094×*-lowering-*.f64
4 102×/-lowering-/.f32
4 102×/-lowering-/.f64
2 936×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
19148
286348
0820247
Stop Event
iter limit
node limit
Counts
6 → 312
Calls
Call 1
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
(* y z)
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(tanh (/ x y))
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (neg.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (+.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))
(*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(tanh.f64 (/.f64 x y))

simplify488.0ms (3.9%)

Memory
-5.1MiB live, 899.9MiB allocated
Algorithm
egg-herbie
Rules
13 264×accelerator-lowering-fma.f32
13 264×accelerator-lowering-fma.f64
4 518×*-lowering-*.f32
4 518×*-lowering-*.f64
4 012×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049510076
116787475
269427471
082247285
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
x
(* 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)))
(* 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)))
(* 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)))
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
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))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* z (- t x)))
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))
(+ x (* -1 (* z (- (* -1 t) (* -1 x)))))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))
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(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))))) (-.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 y y)))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y)) y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (neg.f64 y))) (neg.f64 y)) y))) y)

eval80.0ms (0.6%)

Memory
10.2MiB live, 124.6MiB allocated
Compiler

Compiled 23 482 to 2 010 computations (91.4% saved)

prune88.0ms (0.7%)

Memory
-5.1MiB live, 85.8MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5088516
Fresh000
Picked101
Done000
Total5098517
Accuracy
100.0%
Counts
517 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
49.5%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
62.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
44.7%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y)))))
69.6%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
40.1%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))))))))
59.4%
(+.f64 x (*.f64 z (-.f64 t x)))
58.3%
x
Compiler

Compiled 288 to 180 computations (37.5% saved)

simplify373.0ms (3%)

Memory
-9.8MiB live, 711.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y))))
cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y)))))
cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))))
cost-diff6656
(/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))
cost-diff0
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
cost-diff0
(/.f64 (-.f64 t x) y)
cost-diff0
(*.f64 y z)
cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
cost-diff256
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff0
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)
cost-diff0
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
Rules
10 996×accelerator-lowering-fma.f32
10 996×accelerator-lowering-fma.f64
5 074×+-lowering-+.f64
5 074×+-lowering-+.f32
4 122×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028224
197224
2259224
3740224
42697216
08523212
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))
x
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
(* z (- (tanh (/ t y)) (tanh (/ x y))))
z
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(/ t y)
t
y
(tanh (/ x y))
(/ x y)
x
(+ x (* (* y z) (/ (- t x) y)))
x
(* (* y z) (/ (- t x) y))
(* y z)
y
z
(/ (- t x) y)
(- t x)
t
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
x
(* (* y z) (- (/ t y) (tanh (/ x y))))
(* y z)
y
z
(- (/ t y) (tanh (/ x y)))
(/ t y)
t
(tanh (/ x y))
(/ x y)
(+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))))
x
(* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))
(* y z)
y
z
(- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))
(* 1 (/ (sinh (/ t y)) (cosh (/ t y))))
1
(/ (sinh (/ t y)) (cosh (/ t y)))
(sinh (/ t y))
(/ t y)
t
(cosh (/ t y))
(tanh (/ x y))
(/ x y)
Outputs
(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))
x
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))
(* z (- (tanh (/ t y)) (tanh (/ x y))))
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
z
(- (tanh (/ t y)) (tanh (/ x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh (/ t y))
(tanh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
y
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
(+ x (* (* y z) (/ (- t x) y)))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(* (* y z) (/ (- t x) y))
(*.f64 z (-.f64 t x))
(* y z)
(*.f64 z y)
y
z
(/ (- t x) y)
(/.f64 (-.f64 t x) y)
(- t x)
(-.f64 t x)
t
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
(-.f64 (+.f64 x (*.f64 z t)) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z y)))
x
(* (* y z) (- (/ t y) (tanh (/ x y))))
(-.f64 (*.f64 z t) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z y)))
(* y z)
(*.f64 z y)
y
z
(- (/ t y) (tanh (/ x y)))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(/ t y)
(/.f64 t y)
t
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
(+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))))
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))
x
(* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))
(* y z)
(*.f64 z y)
y
z
(- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(* 1 (/ (sinh (/ t y)) (cosh (/ t y))))
(tanh.f64 (/.f64 t y))
1
#s(literal 1 binary64)
(/ (sinh (/ t y)) (cosh (/ t y)))
(tanh.f64 (/.f64 t y))
(sinh (/ t y))
(sinh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
(cosh (/ t y))
(cosh.f64 (/.f64 t y))
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)

localize284.0ms (2.3%)

Memory
29.8MiB live, 480.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(tanh.f64 (/.f64 x y))
accuracy100.0%
(sinh.f64 (/.f64 t y))
accuracy98.4%
(/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))
accuracy94.7%
(*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y))))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
accuracy100.0%
(tanh.f64 (/.f64 x y))
accuracy94.7%
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
accuracy100.0%
(/.f64 (-.f64 t x) y)
accuracy91.1%
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))
accuracy100.0%
(tanh.f64 (/.f64 x y))
accuracy100.0%
(tanh.f64 (/.f64 t y))
accuracy98.8%
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
accuracy94.4%
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)
Samples
127.0ms87×4exit
64.0ms32×5exit
35.0ms131×0valid
4.0ms3exit
Compiler

Compiled 259 to 30 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-mult: 42.0ms (25.6% of total)
ival-tanh: 33.0ms (20.1% of total)
ival-div: 25.0ms (15.2% of total)
adjust: 19.0ms (11.6% of total)
ival-cosh: 13.0ms (7.9% of total)
ival-sub: 11.0ms (6.7% of total)
ival-add: 11.0ms (6.7% of total)
ival-sinh: 10.0ms (6.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.7%)

Memory
0.9MiB live, 170.2MiB allocated
Counts
18 → 684
Calls
Call 1
Inputs
#<alt (+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))>
#<alt (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)>
#<alt (* z (- (tanh (/ t y)) (tanh (/ x y))))>
#<alt (- (tanh (/ t y)) (tanh (/ x y)))>
#<alt (* (* y z) (/ (- t x) y))>
#<alt (+ x (* (* y z) (/ (- t x) y)))>
#<alt (* y z)>
#<alt (/ (- t x) y)>
#<alt (+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))>
#<alt (* (* y z) (- (/ t y) (tanh (/ x y))))>
#<alt (- (/ t y) (tanh (/ x y)))>
#<alt (/ (sinh (/ t y)) (cosh (/ t y)))>
#<alt (* 1 (/ (sinh (/ t y)) (cosh (/ t y))))>
#<alt (+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))))>
#<alt (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))>
#<alt (tanh (/ t y))>
#<alt (tanh (/ x y))>
#<alt (sinh (/ t y))>
Outputs
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt x>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt x>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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)))))))))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))>
#<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)))))))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))>
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#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (/ t y)>
#<alt (* t (+ (* 1/6 (/ (pow t 2) (pow y 3))) (/ 1 y)))>
#<alt (* t (+ (* (pow t 2) (+ (* 1/120 (/ (pow t 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* t (+ (* (pow t 2) (+ (* (pow t 2) (+ (* 1/5040 (/ (pow t 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ t y)>
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)>
#<alt (/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) y)>
#<alt (/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) y)>
#<alt (/ t y)>
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))>
Calls

171 calls:

TimeVariablePointExpression
12.0ms
y
@inf
(* (* y z) (- (/ t y) (tanh (/ x y))))
8.0ms
z
@inf
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
3.0ms
z
@0
(* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))
2.0ms
x
@-inf
(/ (- t x) y)
1.0ms
t
@inf
(/ (sinh (/ t y)) (cosh (/ t y)))

rewrite398.0ms (3.2%)

Memory
46.4MiB live, 698.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 944×/-lowering-/.f32
3 944×/-lowering-/.f64
3 634×accelerator-lowering-fma.f32
3 634×accelerator-lowering-fma.f64
3 464×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028173
1205173
22233158
08692154
Stop Event
iter limit
node limit
Counts
18 → 713
Calls
Call 1
Inputs
(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)
(* z (- (tanh (/ t y)) (tanh (/ x y))))
(- (tanh (/ t y)) (tanh (/ x y)))
(* (* y z) (/ (- t x) y))
(+ x (* (* y z) (/ (- t x) y)))
(* y z)
(/ (- t x) y)
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
(* (* y z) (- (/ t y) (tanh (/ x y))))
(- (/ t y) (tanh (/ x y)))
(/ (sinh (/ t y)) (cosh (/ t y)))
(* 1 (/ (sinh (/ t y)) (cosh (/ t y))))
(+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))))
(* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))
(tanh (/ t y))
(tanh (/ x y))
(sinh (/ t y))
Outputs
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 z y)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 z y)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(+.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (*.f64 z y)))
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (*.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))))
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 z y)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 z y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
(/.f64 (neg.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 z y))) (neg.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))))
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(*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(tanh.f64 (/.f64 x y))
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) #s(literal 2 binary64)))
(neg.f64 (sinh.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))
(sinh.f64 (/.f64 t y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64))
(*.f64 (sinh.f64 (/.f64 t y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 t y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 1/2 binary64))

simplify719.0ms (5.8%)

Memory
-72.0MiB live, 1 209.7MiB allocated
Algorithm
egg-herbie
Rules
15 528×accelerator-lowering-fma.f32
15 528×accelerator-lowering-fma.f64
5 684×+-lowering-+.f64
5 684×+-lowering-+.f32
5 648×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079227216
1266220820
0944920339
Stop Event
iter limit
node limit
Counts
684 → 684
Calls
Call 1
Inputs
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(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 t t)) (*.f64 y (*.f64 y y)))))
(* t (+ (* (pow t 2) (+ (* 1/120 (/ (pow t 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 t t)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))))))
(* t (+ (* (pow t 2) (+ (* (pow t 2) (+ (* 1/5040 (/ (pow t 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 t (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 t t)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))))))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))))
(/ t y)
(/.f64 t y)
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)
(/.f64 (+.f64 t (/.f64 #s(literal 0 binary64) y)) y)
(/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) y)
(/.f64 (+.f64 (+.f64 t (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 y y))) y)
(/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) y)
(/.f64 (+.f64 t (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))) (*.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y))))) y)
(/ t y)
(/.f64 t y)
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/3 binary64)))) y) #s(literal 0 binary64)) y))) y)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal -1/6 binary64) t)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))))) y)) (neg.f64 y)) y))) y)

eval289.0ms (2.3%)

Memory
40.5MiB live, 338.0MiB allocated
Compiler

Compiled 52 514 to 4 011 computations (92.4% saved)

prune341.0ms (2.7%)

Memory
-31.2MiB live, 301.7MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 527221 549
Fresh123
Picked235
Done000
Total1 530271 557
Accuracy
100.0%
Counts
1 557 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
52.1%
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y)))
44.6%
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y))
37.5%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
52.5%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
46.5%
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
52.2%
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
72.3%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
42.7%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y))
97.6%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
44.6%
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
11.7%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))))
51.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
62.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
37.6%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (/.f64 x y))))
69.6%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
47.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
49.5%
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
59.4%
(+.f64 x (*.f64 z (-.f64 t x)))
55.4%
(+.f64 x (*.f64 z t))
56.2%
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))
25.0%
(*.f64 z (-.f64 t x))
48.0%
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
14.6%
(*.f64 z t)
53.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
58.3%
x
Compiler

Compiled 1 032 to 571 computations (44.7% saved)

simplify583.0ms (4.7%)

Memory
31.0MiB live, 580.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))))
cost-diff384
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))
cost-diff512
(*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))
cost-diff0
(*.f64 y z)
cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))
cost-diff256
(*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))
cost-diff0
(/.f64 t y)
cost-diff0
(*.f64 y z)
cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
cost-diff256
(*.f64 (*.f64 y z) (/.f64 t y))
cost-diff0
(*.f64 z t)
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
cost-diff0
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
cost-diff0
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)
cost-diff0
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
Rules
11 408×accelerator-lowering-fma.f32
11 408×accelerator-lowering-fma.f64
4 900×*-lowering-*.f32
4 900×*-lowering-*.f64
2 824×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039359
1134353
2398311
31229311
43594309
57221309
08372302
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* (* z (- (tanh (/ t y)) (/ x y))) y))
x
(* (* z (- (tanh (/ t y)) (/ x y))) y)
(* z (- (tanh (/ t y)) (/ x y)))
z
(- (tanh (/ t y)) (/ x y))
(tanh (/ t y))
(/ t y)
t
y
(/ x y)
(* z t)
z
t
(+ x (* (* y z) (/ t y)))
x
(* (* y z) (/ t y))
(* y z)
y
z
(/ t y)
t
(+ x (* (* y z) (* (/ 1 y) (- t x))))
x
(* (* y z) (* (/ 1 y) (- t x)))
(* y z)
y
z
(* (/ 1 y) (- t x))
(/ 1 y)
1
(- t x)
t
(+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))))
x
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))
(* y z)
y
z
(/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))
(- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y))))
(/ (* t (* t t)) (* y (* y y)))
(* t (* t t))
t
(* t t)
(* y (* y y))
(* y y)
(/ (* x (* x x)) (* y (* y y)))
(* x (* x x))
(* x x)
(+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))
(/ (/ t y) (/ y t))
(/ t y)
(/ y t)
(+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))
(* (/ x y) (/ x y))
(/ x y)
(* (/ t y) (/ x y))
Outputs
(+ x (* (* z (- (tanh (/ t y)) (/ x y))) y))
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (-.f64 x (*.f64 x z)))
x
(* (* z (- (tanh (/ t y)) (/ x y))) y)
(-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (*.f64 x z))
(* z (- (tanh (/ t y)) (/ x y)))
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
z
(- (tanh (/ t y)) (/ x y))
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
(tanh (/ t y))
(tanh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
y
(/ x y)
(/.f64 x y)
(* z t)
(*.f64 z t)
z
t
(+ x (* (* y z) (/ t y)))
(+.f64 x (*.f64 z t))
x
(* (* y z) (/ t y))
(*.f64 z t)
(* y z)
(*.f64 z y)
y
z
(/ t y)
(/.f64 t y)
t
(+ x (* (* y z) (* (/ 1 y) (- t x))))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(* (* y z) (* (/ 1 y) (- t x)))
(*.f64 z (-.f64 t x))
(* y z)
(*.f64 z y)
y
z
(* (/ 1 y) (- t x))
(/.f64 (-.f64 t x) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- t x)
(-.f64 t x)
t
(+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))))
(+.f64 x (/.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (*.f64 t (*.f64 t t)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y)))))
x
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))
(/.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (*.f64 t (*.f64 t t)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y))))
(* y z)
(*.f64 z y)
y
z
(/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))
(/.f64 (-.f64 (/.f64 (/.f64 t y) (*.f64 (/.f64 y t) (/.f64 y t))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y))))
(- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y))))
(-.f64 (/.f64 (/.f64 t y) (*.f64 (/.f64 y t) (/.f64 y t))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/ (* t (* t t)) (* y (* y y)))
(/.f64 (/.f64 t y) (*.f64 (/.f64 y t) (/.f64 y t)))
(* t (* t t))
(*.f64 t (*.f64 t t))
t
(* t t)
(*.f64 t t)
(* y (* y y))
(*.f64 y (*.f64 y y))
(* y y)
(*.f64 y y)
(/ (* x (* x x)) (* y (* y y)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))
(+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y)))
(/ (/ t y) (/ y t))
(/.f64 (*.f64 t (/.f64 t y)) y)
(/ t y)
(/.f64 t y)
(/ y t)
(/.f64 y t)
(+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))
(/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y))
(* (/ x y) (/ x y))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ x y)
(/.f64 x y)
(* (/ t y) (/ x y))
(*.f64 t (/.f64 (/.f64 x y) y))

localize134.0ms (1.1%)

Memory
-12.8MiB live, 338.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy77.7%
(*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))
accuracy74.5%
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
accuracy72.0%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))
accuracy36.2%
(/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))
accuracy77.7%
(*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))
accuracy100.0%
(/.f64 t y)
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
accuracy100.0%
(*.f64 y z)
accuracy77.4%
(*.f64 (*.f64 y z) (/.f64 t y))
accuracy100.0%
(*.f64 z t)
accuracy100.0%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
accuracy100.0%
(tanh.f64 (/.f64 t y))
accuracy96.1%
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
accuracy89.6%
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)
Samples
76.0ms256×0valid
Compiler

Compiled 431 to 41 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 23.0ms (46.2% of total)
ival-div: 14.0ms (28.1% of total)
ival-add: 8.0ms (16.1% of total)
ival-sub: 3.0ms (6% of total)
ival-tanh: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series93.0ms (0.7%)

Memory
25.8MiB live, 215.3MiB allocated
Counts
19 → 708
Calls
Call 1
Inputs
#<alt (+ x (* (* z (- (tanh (/ t y)) (/ x y))) y))>
#<alt (* (* z (- (tanh (/ t y)) (/ x y))) y)>
#<alt (* z (- (tanh (/ t y)) (/ x y)))>
#<alt (- (tanh (/ t y)) (/ x y))>
#<alt (* z t)>
#<alt (* (* y z) (/ t y))>
#<alt (+ x (* (* y z) (/ t y)))>
#<alt (* y z)>
#<alt (/ t y)>
#<alt (* (* y z) (* (/ 1 y) (- t x)))>
#<alt (* (/ 1 y) (- t x))>
#<alt (+ x (* (* y z) (* (/ 1 y) (- t x))))>
#<alt (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))>
#<alt (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))>
#<alt (+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))))>
#<alt (tanh (/ t y))>
#<alt (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))>
#<alt (/ (* x (* x x)) (* y (* y y)))>
#<alt (/ (* t (* t t)) (* y (* y y)))>
Outputs
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))>
#<alt x>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))>
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))>
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* t z)))>
#<alt (+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))))>
#<alt (+ x (+ (* -1 (* x z)) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4)))))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x))))>
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))>
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))))>
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (/ (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) y)) y))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))))) (/ (* z (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) y)) (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2))))) y))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))>
#<alt (+ (* -1 (* x z)) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* z (- t x))>
#<alt (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x)))>
#<alt (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))>
#<alt (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))>
#<alt (* -1 (* z (- (* -1 t) (* -1 x))))>
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)))>
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (/ (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) y)) y)))>
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))))) (/ (* z (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) y)) (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2))))) y)))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))>
#<alt (* x (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))>
#<alt (* x (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))))>
#<alt (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))>
#<alt (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))>
#<alt (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))>
#<alt (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))>
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#<alt (/ t y)>
#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 y)))>
#<alt (* t (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow t 2))) (/ 1 y)) (/ x (* t y))))>
#<alt (* t (- (+ (/ 1 y) (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (pow t 3))) (+ (* -1 (/ (pow x 2) (* (pow t 2) y))) (+ (/ x (* t y)) (/ (pow x 2) (* (pow t 2) y))))))>
#<alt (/ t y)>
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) t))) t)) (/ 1 y))))>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) t)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) t))) t)) (/ 1 y))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))>
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))>
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))>
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))>
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))>
#<alt (/ t y)>
#<alt (+ (* -1 (/ x y)) (/ t y))>
#<alt (+ (* -1 (/ x y)) (/ t y))>
#<alt (+ (* -1 (/ x y)) (/ t y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ t (* x y)) (/ 1 y)))>
#<alt (* x (- (* -1 (/ (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y)) (pow x 2))) (+ (* -1 (/ t (* x y))) (/ 1 y))))>
#<alt (* x (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) (pow x 3)) (+ (* -1 (/ t (* x y))) (+ (* -1 (/ (pow t 2) (* (pow x 2) y))) (+ (/ 1 y) (/ (pow t 2) (* (pow x 2) y)))))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow t 2) (* x y))) (/ (pow t 2) (* x y))) (* -1 (/ t y))) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x) (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x)) (* -1 (/ t y))) x)) (/ 1 y))))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow x 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
#<alt (/ (pow t 3) (pow y 3))>
Calls

177 calls:

TimeVariablePointExpression
22.0ms
x
@-inf
(+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))
7.0ms
z
@0
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))
5.0ms
y
@0
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))
3.0ms
y
@-inf
(+ x (* (* z (- (tanh (/ t y)) (/ x y))) y))
2.0ms
y
@inf
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))

rewrite426.0ms (3.4%)

Memory
-27.9MiB live, 828.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 524×*-lowering-*.f32
4 524×*-lowering-*.f64
3 858×/-lowering-/.f32
3 858×/-lowering-/.f64
3 828×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039232
1284218
23573216
08634209
Stop Event
iter limit
node limit
Counts
19 → 524
Calls
Call 1
Inputs
(+ x (* (* z (- (tanh (/ t y)) (/ x y))) y))
(* (* z (- (tanh (/ t y)) (/ x y))) y)
(* z (- (tanh (/ t y)) (/ x y)))
(- (tanh (/ t y)) (/ x y))
(* z t)
(* (* y z) (/ t y))
(+ x (* (* y z) (/ t y)))
(* y z)
(/ t y)
(* (* y z) (* (/ 1 y) (- t x)))
(* (/ 1 y) (- t x))
(+ x (* (* y z) (* (/ 1 y) (- t x))))
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))
(+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))
(+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))))
(tanh (/ t y))
(/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))
(/ (* x (* x x)) (* y (* y y)))
(/ (* t (* t t)) (* y (* y y)))
Outputs
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)))))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y) x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)))))
(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)
(*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z)
(+.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) z))
(fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) z))
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) y) y))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) z) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) y) y)) z) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) z)
(+.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (tanh.f64 (/.f64 t y)))
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) (/.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) (tanh.f64 (/.f64 t y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (tanh.f64 (/.f64 t y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) y) y))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (*.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) y) y)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) y))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (/.f64 y x)))
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simplify484.0ms (3.9%)

Memory
51.3MiB live, 1 135.5MiB allocated
Algorithm
egg-herbie
Rules
12 612×accelerator-lowering-fma.f32
12 612×accelerator-lowering-fma.f64
4 944×*-lowering-*.f32
4 944×*-lowering-*.f64
3 356×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071811496
124149793
089189518
Stop Event
iter limit
node limit
Counts
708 → 708
Calls
Call 1
Inputs
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x
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(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
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(*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t))))
(* t (- (+ (/ 1 y) (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (pow t 3))) (+ (* -1 (/ (pow x 2) (* (pow t 2) y))) (+ (/ x (* t y)) (/ (pow x 2) (* (pow t 2) y))))))
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 x #s(literal 0 binary64)) (-.f64 (+.f64 (/.f64 x (*.f64 y t)) (/.f64 (/.f64 (/.f64 (*.f64 x x) t) t) y)) (/.f64 (/.f64 (/.f64 (*.f64 x x) t) t) y)))))
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(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))
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(* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))
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(* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))
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(* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))
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(/ t y)
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(+ (* -1 (/ x y)) (/ t y))
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(+ (* -1 (/ x y)) (/ t y))
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(+ (* -1 (/ x y)) (/ t y))
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(* -1 (/ x y))
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(* x (- (/ t (* x y)) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
(* x (- (* -1 (/ (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y)) (pow x 2))) (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
(* x (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) (pow x 3)) (+ (* -1 (/ t (* x y))) (+ (* -1 (/ (pow t 2) (* (pow x 2) y))) (+ (/ 1 y) (/ (pow t 2) (* (pow x 2) y)))))))
(*.f64 x (-.f64 (*.f64 t #s(literal 0 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 t t) (*.f64 x (*.f64 y x)))) (/.f64 (*.f64 t t) (*.f64 x (*.f64 y x)))) (/.f64 t (*.f64 y x)))))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow t 2) (* x y))) (/ (pow t 2) (* x y))) (* -1 (/ t y))) x)) (/ 1 y))))
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(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x) (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x)) (* -1 (/ t y))) x)) (/ 1 y))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (*.f64 t #s(literal 0 binary64)) (/.f64 t y)) x)))
(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))
(/ (pow x 3) (pow y 3))
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(/ (pow x 3) (pow y 3))
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(/ (pow t 3) (pow y 3))
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(/ (pow t 3) (pow y 3))
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(/ (pow t 3) (pow y 3))
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(/ (pow t 3) (pow y 3))
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(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
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(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))
(/ (pow t 3) (pow y 3))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))

eval197.0ms (1.6%)

Memory
-18.0MiB live, 340.1MiB allocated
Compiler

Compiled 47 724 to 3 289 computations (93.1% saved)

prune159.0ms (1.3%)

Memory
36.4MiB live, 272.7MiB allocated
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New1 415131 428
Fresh61319
Picked235
Done033
Total1 423321 455
Accuracy
100.0%
Counts
1 455 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.8%
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x))
5.2%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
69.6%
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)
52.1%
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
48.7%
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
11.3%
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
37.5%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
52.5%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
46.5%
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
52.1%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y))))
52.2%
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z))
52.2%
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
41.5%
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y))
72.3%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
42.7%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y))
97.6%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
72.3%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y))
48.3%
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y))
11.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y)))))
51.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
62.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
47.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
7.6%
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))))
51.3%
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
59.4%
(+.f64 x (*.f64 z (-.f64 t x)))
55.4%
(+.f64 x (*.f64 z t))
25.0%
(*.f64 z (-.f64 t x))
48.0%
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
14.6%
(*.f64 z t)
53.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
58.3%
x
Compiler

Compiled 1 366 to 729 computations (46.6% saved)

simplify223.0ms (1.8%)

Memory
-19.0MiB live, 323.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))
cost-diff256
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
cost-diff896
(/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))
cost-diff0
(-.f64 t x)
cost-diff0
(*.f64 (-.f64 t x) (*.f64 z y))
cost-diff0
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
cost-diff256
(/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)
cost-diff0
(*.f64 y t)
cost-diff0
(*.f64 z (*.f64 y t))
cost-diff0
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
cost-diff256
(/.f64 (*.f64 z (*.f64 y t)) y)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y)))
cost-diff0
(*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)
cost-diff0
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) t)
Rules
4 924×accelerator-lowering-fma.f32
4 924×accelerator-lowering-fma.f64
4 316×*-lowering-*.f32
4 316×*-lowering-*.f64
1 906×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032277
1100265
2334223
31724195
08049187
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y))
x
(* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)
(* z (- (tanh (* (/ 1 y) t)) (/ x y)))
z
(- (tanh (* (/ 1 y) t)) (/ x y))
(tanh (* (/ 1 y) t))
(* (/ 1 y) t)
(/ 1 y)
1
y
t
(/ x y)
(* x (- 1 z))
x
(- 1 z)
1
z
(+ x (/ (* z (* y t)) y))
x
(/ (* z (* y t)) y)
(* z (* y t))
z
(* y t)
y
t
(+ x (/ (* (- t x) (* z y)) y))
x
(/ (* (- t x) (* z y)) y)
(* (- t x) (* z y))
(- t x)
t
(* z y)
z
y
(/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))))
1
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))
(- x (/ (* z y) (/ y (- t x))))
x
(/ (* z y) (/ y (- t x)))
(* z y)
z
y
(/ y (- t x))
(- t x)
t
(- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))
(* x x)
(* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))
Outputs
(+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y))
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
x
(* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))
(* z (- (tanh (* (/ 1 y) t)) (/ x y)))
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
z
(- (tanh (* (/ 1 y) t)) (/ x y))
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
(tanh (* (/ 1 y) t))
(tanh.f64 (/.f64 t y))
(* (/ 1 y) t)
(/.f64 t y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
t
(/ x y)
(/.f64 x y)
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(+ x (/ (* z (* y t)) y))
(+.f64 x (*.f64 z t))
x
(/ (* z (* y t)) y)
(*.f64 z t)
(* z (* y t))
(*.f64 y (*.f64 z t))
z
(* y t)
(*.f64 y t)
y
t
(+ x (/ (* (- t x) (* z y)) y))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(/ (* (- t x) (* z y)) y)
(*.f64 z (-.f64 t x))
(* (- t x) (* z y))
(*.f64 z (*.f64 y (-.f64 t x)))
(- t x)
(-.f64 t x)
t
(* z y)
(*.f64 z y)
z
y
(/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))))
(+.f64 x (*.f64 z (-.f64 t x)))
1
#s(literal 1 binary64)
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x))))
(- x (/ (* z y) (/ y (- t x))))
(+.f64 x (*.f64 z (-.f64 x t)))
x
(/ (* z y) (/ y (- t x)))
(*.f64 z (-.f64 t x))
(* z y)
(*.f64 z y)
z
y
(/ y (- t x))
(/.f64 y (-.f64 t x))
(- t x)
(-.f64 t x)
t
(- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 x t))))
(* x x)
(*.f64 x x)
(* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))
(*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z z)))

localize144.0ms (1.2%)

Memory
-4.9MiB live, 152.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))
accuracy81.7%
(-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))
accuracy78.6%
(/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))
accuracy46.6%
(/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
accuracy95.4%
(*.f64 (-.f64 t x) (*.f64 z y))
accuracy81.5%
(/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)
accuracy100.0%
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
accuracy100.0%
(*.f64 y t)
accuracy91.6%
(*.f64 z (*.f64 y t))
accuracy85.6%
(/.f64 (*.f64 z (*.f64 y t)) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) t)
accuracy96.1%
(*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y)))
accuracy89.6%
(*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)
Samples
81.0ms256×0valid
Compiler

Compiled 305 to 34 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 31.0ms (50.8% of total)
ival-div: 15.0ms (24.6% of total)
ival-sub: 10.0ms (16.4% of total)
ival-add: 3.0ms (4.9% of total)
ival-tanh: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series77.0ms (0.6%)

Memory
0.2MiB live, 79.0MiB allocated
Counts
22 → 852
Calls
Call 1
Inputs
#<alt (* (/ 1 y) t)>
#<alt (+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y))>
#<alt (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)>
#<alt (* z (- (tanh (* (/ 1 y) t)) (/ x y)))>
#<alt (* x (- 1 z))>
#<alt (- 1 z)>
#<alt (/ (* z (* y t)) y)>
#<alt (+ x (/ (* z (* y t)) y))>
#<alt (* z (* y t))>
#<alt (* y t)>
#<alt (/ (* (- t x) (* z y)) y)>
#<alt (+ x (/ (* (- t x) (* z y)) y))>
#<alt (* (- t x) (* z y))>
#<alt (- t x)>
#<alt (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))>
#<alt (/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))))>
#<alt (/ (* z y) (/ y (- t x)))>
#<alt (- x (/ (* z y) (/ y (- t x))))>
#<alt (tanh (* (/ 1 y) t))>
#<alt (* z y)>
#<alt (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))>
#<alt (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))>
Outputs
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))>
#<alt x>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))>
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))>
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x))))>
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))>
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))))>
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (/ (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) y)) y))))>
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#<alt (+ x (* -1 (* x z)))>
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#<alt (* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2)))>
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2)))>
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))>
#<alt (* -1 (* (pow z 2) (pow (- t x) 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))>
#<alt (* -1 (* (pow z 2) (pow (- t x) 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))>
#<alt (- (pow x 2) (* (pow x 2) (pow z 2)))>
#<alt (- (+ (* 2 (* t (* x (pow z 2)))) (pow x 2)) (* (pow x 2) (pow z 2)))>
#<alt (- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2)))>
#<alt (- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2)))>
#<alt (* -1 (* (pow t 2) (pow z 2)))>
#<alt (* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))))>
#<alt (* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))))>
#<alt (* -1 (* (pow t 2) (pow z 2)))>
#<alt (* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2)))>
#<alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))>
#<alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))>
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))>
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))>
Calls

213 calls:

TimeVariablePointExpression
22.0ms
t
@-inf
(/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))))
5.0ms
z
@0
(* z (* y t))
2.0ms
x
@inf
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))
2.0ms
t
@0
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))
2.0ms
x
@-inf
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))

rewrite609.0ms (4.9%)

Memory
-16.5MiB live, 471.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 038×*-lowering-*.f32
7 038×*-lowering-*.f64
3 904×/-lowering-/.f32
3 904×/-lowering-/.f64
2 458×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032202
1238178
22463178
09350173
Stop Event
iter limit
node limit
Counts
22 → 783
Calls
Call 1
Inputs
(* (/ 1 y) t)
(+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y))
(* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)
(* z (- (tanh (* (/ 1 y) t)) (/ x y)))
(* x (- 1 z))
(- 1 z)
(/ (* z (* y t)) y)
(+ x (/ (* z (* y t)) y))
(* z (* y t))
(* y t)
(/ (* (- t x) (* z y)) y)
(+ x (/ (* (- t x) (* z y)) y))
(* (- t x) (* z y))
(- t x)
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))
(/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))))
(/ (* z y) (/ y (- t x)))
(- x (/ (* z y) (/ y (- t x))))
(tanh (* (/ 1 y) t))
(* z y)
(- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))
(* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 y t))
(/.f64 t y)
(/.f64 (neg.f64 t) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 t #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y t) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 t y))
(*.f64 (/.f64 #s(literal 1 binary64) y) t)
(*.f64 t (/.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))) (*.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))))
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z)
(+.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) z))
(fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 z (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) z))
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) z) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x))) z) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) z)
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) z) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) z)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) z) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) x) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
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(*.f64 (pow.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)))
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(*.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (exp.f64 (log.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))

simplify716.0ms (5.8%)

Memory
-5.4MiB live, 828.0MiB allocated
Algorithm
egg-herbie
Rules
6 768×accelerator-lowering-fma.f32
6 768×accelerator-lowering-fma.f64
6 016×*-lowering-*.f32
6 016×*-lowering-*.f64
3 678×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116514725
1393713926
0855713455
Stop Event
iter limit
node limit
Counts
852 → 852
Calls
Call 1
Inputs
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
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(pow x 2)
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Outputs
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(* (pow t 2) (pow z 2))
(*.f64 (*.f64 t t) (*.f64 z z))
(+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(+.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))))
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(+.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x (+.f64 (*.f64 x (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))))))
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))
(+.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x (+.f64 (*.f64 x (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))))))
(* (pow x 2) (pow z 2))
(*.f64 (*.f64 z x) (*.f64 z x))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x)))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x) (+.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x x)))))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x) (+.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x x)))))
(* (pow x 2) (pow z 2))
(*.f64 (*.f64 z x) (*.f64 z x))
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 z z))) (*.f64 (*.f64 t t) (/.f64 (*.f64 z z) x))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 z z))) (*.f64 (*.f64 t t) (/.f64 (*.f64 z z) x))) x)))

eval299.0ms (2.4%)

Memory
48.6MiB live, 700.6MiB allocated
Compiler

Compiled 69 359 to 4 568 computations (93.4% saved)

prune302.0ms (2.4%)

Memory
-5.5MiB live, 664.9MiB allocated
Pruning

47 alts after pruning (37 fresh and 10 done)

PrunedKeptTotal
New2 081202 101
Fresh41721
Picked145
Done066
Total2 086472 133
Accuracy
100.0%
Counts
2 133 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
5.2%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
26.6%
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t))))
50.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z))
20.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
24.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x)))
19.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)))))
24.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))))))
29.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y)))))
19.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))))))
29.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
27.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
49.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
26.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t))))))
14.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
55.1%
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x)
69.6%
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)
30.9%
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
52.1%
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
48.7%
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
11.3%
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
55.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))))
37.5%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
52.5%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
46.5%
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
51.0%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x)))))
52.2%
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
41.5%
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y))
72.3%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
42.7%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y))
97.6%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
72.3%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y))
48.3%
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y))
11.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y)))))
51.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
62.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
47.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
51.3%
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
59.4%
(+.f64 x (*.f64 z (-.f64 t x)))
55.4%
(+.f64 x (*.f64 z t))
25.0%
(*.f64 z (-.f64 t x))
14.8%
(*.f64 z (-.f64 #s(literal 0 binary64) x))
48.0%
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
14.6%
(*.f64 z t)
53.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
53.8%
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
58.3%
x
Compiler

Compiled 2 502 to 903 computations (63.9% saved)

regimes181.0ms (1.5%)

Memory
-28.2MiB live, 249.9MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(*.f64 z (-.f64 t x))
(+.f64 x (*.f64 z t))
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z))
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))))
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y))))
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y))
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y)))))
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y)))))
Outputs
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
Calls

5 calls:

77.0ms
z
32.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
22.0ms
y
19.0ms
x
19.0ms
t
Results
AccuracySegmentsBranch
97.6%1x
97.6%1y
97.6%1z
97.6%1t
97.6%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes143.0ms (1.2%)

Memory
1.4MiB live, 237.0MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(*.f64 z (-.f64 t x))
(+.f64 x (*.f64 z t))
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z))
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))))
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y))))
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y))
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y)))))
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y))
(+.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)))))
(*.f64 z (-.f64 t x))
Calls

5 calls:

42.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
33.0ms
z
19.0ms
x
18.0ms
t
18.0ms
y
Results
AccuracySegmentsBranch
97.3%2y
94.7%1t
94.7%1x
94.7%1z
97.3%2(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes85.0ms (0.7%)

Memory
7.4MiB live, 211.5MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(*.f64 z (-.f64 t x))
(+.f64 x (*.f64 z t))
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z))
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))))
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y))))
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y))
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y)))))
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x)
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y))
Outputs
x
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))
Calls

4 calls:

21.0ms
x
19.0ms
y
18.0ms
t
18.0ms
z
Results
AccuracySegmentsBranch
83.3%3x
74.3%2z
82.2%4t
82.3%2y
Compiler

Compiled 20 to 16 computations (20% saved)

regimes88.0ms (0.7%)

Memory
-20.7MiB live, 96.8MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(*.f64 z (-.f64 t x))
(+.f64 x (*.f64 z t))
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z))
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))))
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y))))
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y))
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y)))))
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
Outputs
x
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

2 calls:

31.0ms
x
17.0ms
y
Results
AccuracySegmentsBranch
81.5%3x
81.9%3y
Compiler

Compiled 10 to 8 computations (20% saved)

regimes56.0ms (0.5%)

Memory
14.4MiB live, 133.1MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(*.f64 z (-.f64 t x))
(+.f64 x (*.f64 z t))
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z))
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y))
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y))
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))))
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y))
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y))))
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t))))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y))
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y)))))
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))))
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))))
Outputs
x
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

3 calls:

21.0ms
x
17.0ms
y
16.0ms
t
Results
AccuracySegmentsBranch
68.5%3t
67.2%3x
75.3%2y
Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(*.f64 z (-.f64 t x))
(+.f64 x (*.f64 z t))
Outputs
x
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Calls

2 calls:

3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
64.3%3z
67.8%2y
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
-15.8MiB live, 22.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
Outputs
(*.f64 z t)
x
Calls

4 calls:

3.0ms
y
2.0ms
x
2.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
60.1%2z
58.3%1x
58.3%1t
58.3%1y
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
58.3%1t
58.3%1z
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5122406619570745e+304
+inf
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch17.0ms (0.1%)

Memory
5.1MiB live, 45.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.15781447668473e-69
1.521608171495173e-67
Samples
11.0ms107×0valid
1.0ms1valid
Compiler

Compiled 197 to 138 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-tanh: 4.0ms (45.8% of total)
ival-div: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.4% of total)
ival-mult: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
-9.5MiB live, 100.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.4477860097607567e+168
1.761356432477832e+175
12.0ms
1.15781447668473e-69
1.521608171495173e-67
Samples
23.0ms250×0valid
1.0ms1valid
Compiler

Compiled 476 to 318 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (40.9% of total)
ival-sub: 3.0ms (17.5% of total)
ival-mult: 3.0ms (17.5% of total)
ival-tanh: 2.0ms (11.7% of total)
ival-add: 1.0ms (5.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
10.0MiB live, 55.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
2.9637969614634444e-5
432393802.7339391
Samples
11.0ms157×0valid
0.0ms1valid
Compiler

Compiled 202 to 149 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 2.0ms (26.6% of total)
ival-mult: 2.0ms (26.6% of total)
ival-sub: 1.0ms (13.3% of total)
ival-add: 1.0ms (13.3% of total)
ival-tanh: 1.0ms (13.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
-16.3MiB live, 23.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
446918507.9694607
687010757.6905524
Samples
5.0ms60×0valid
1.0ms1valid
Compiler

Compiled 86 to 71 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (25.1% of total)
ival-div: 1.0ms (25.1% of total)
ival-mult: 1.0ms (25.1% of total)
ival-tanh: 1.0ms (25.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
3.5MiB live, 43.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-5.229710153619835e+232
-9.596417607729644e+230
Samples
8.0ms103×0valid
1.0ms1valid
Compiler

Compiled 120 to 96 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.3% of total)
ival-mult: 2.0ms (31.3% of total)
ival-sub: 1.0ms (15.6% of total)
ival-tanh: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
0.0MiB live, 39.6MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
28×+-commutative_binary64
18×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049133
175133
291133
3101133
4107133
5108133
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
(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) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 z (-.f64 t x)))
(if (<=.f64 y #s(literal 4553130216154053/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) x (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)))
(if (<=.f64 y #s(literal 5585173065148971/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 y #s(literal 1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 78000000 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 600000000 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152 binary64)) (*.f64 z t) x)
x
Outputs
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(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) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 z (-.f64 t x)))
(if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (*.f64 z (-.f64 t x)))
(if (<=.f64 y #s(literal 4553130216154053/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) x (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)))
(if (<=.f64 y #s(literal 4553130216154053/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) x (+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 y #s(literal 5585173065148971/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 y #s(literal 1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 5585173065148971/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 y #s(literal 1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) (+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 78000000 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 600000000 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152 binary64)) (*.f64 z t) x)
x

soundness803.0ms (6.5%)

Memory
-0.9MiB live, 753.1MiB allocated
Rules
15 528×accelerator-lowering-fma.f32
15 528×accelerator-lowering-fma.f64
13 264×accelerator-lowering-fma.f32
13 264×accelerator-lowering-fma.f64
5 684×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079227216
1266220820
0944920339
049510076
116787475
269427471
082247285
01248
19148
286348
0820247
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 333 to 178 computations (46.5% saved)

preprocess85.0ms (0.7%)

Memory
6.0MiB live, 125.1MiB allocated
Remove

(abs y)

Compiler

Compiled 426 to 194 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...