
Time bar (total: 12.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 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 |
Compiled 20 to 13 computations (35% saved)
ival-div: 16.0ms (34.4% of total)ival-mult: 15.0ms (32.2% of total)ival-tanh: 8.0ms (17.2% of total)ival-sub: 4.0ms (8.6% of total)ival-add: 4.0ms (8.6% of total)const: 1.0ms (2.1% of total)backward-pass: 0.0ms (0% of total)| 878.0ms | 8036× | 0 | valid |
| 48.0ms | 220× | 1 | valid |
ival-mult: 179.0ms (32.1% of total)ival-div: 166.0ms (29.8% of total)ival-tanh: 103.0ms (18.5% of total)ival-sub: 49.0ms (8.8% of total)ival-add: 45.0ms (8.1% of total)const: 8.0ms (1.4% of total)backward-pass: 8.0ms (1.4% of total)| 2× | egg-herbie |
| 3416× | +-lowering-+.f64 |
| 3416× | +-lowering-+.f32 |
| 3180× | *-lowering-*.f32 |
| 3180× | *-lowering-*.f64 |
| 1862× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 238 |
| 1 | 406 | 223 |
| 2 | 1245 | 210 |
| 3 | 5327 | 210 |
| 0 | 12 | 15 |
| 1 | 54 | 14 |
| 2 | 162 | 14 |
| 3 | 443 | 14 |
| 4 | 1777 | 14 |
| 0 | 8982 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| 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))))) |
| 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))))) |
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x) |
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))) |
(fmsub (* y z) (+ (tanh (/ t y)) (tanh (/ x y))) x) |
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))) |
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x) |
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))) |
(fma y (* z (- (tanh (/ x y)) (tanh (/ t y)))) x) |
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))) |
(fnmadd y (* z (+ (tanh (/ t y)) (tanh (/ x y)))) x) |
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))) |
(fnmadd y (* z (+ (tanh (/ t y)) (tanh (/ x y)))) x) |
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))) |
(fnmsub y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x) |
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))) |
(fnmsub y (* z (- (tanh (/ x y)) (tanh (/ t y)))) x) |
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))) |
(fmsub (* y z) (+ (tanh (/ t y)) (tanh (/ x y))) x) |
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x))))) |
(fma x (* z (- (tanh (/ t x)) (tanh (/ y x)))) y) |
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y))))) |
(fma y (* x (- (tanh (/ t y)) (tanh (/ z y)))) z) |
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y))))) |
(fma y (* z (- (tanh (/ x y)) (tanh (/ t y)))) t) |
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z))))) |
(fma z (* y (- (tanh (/ t z)) (tanh (/ x z)))) x) |
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t))))) |
(fma (* z t) (- (tanh (/ y t)) (tanh (/ x t))) x) |
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y))))) |
(fma y (* t (- (tanh (/ z y)) (tanh (/ x y)))) x) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 0 | - | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 1 | 0 | - | 0 | - | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 t y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 t y) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 78.0ms | 406× | 0 | valid |
| 43.0ms | 90× | 2 | valid |
| 5.0ms | 14× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 145 to 38 computations (73.8% saved)
ival-div: 12.0ms (27% of total)ival-mult: 11.0ms (24.8% of total)ival-tanh: 8.0ms (18% of total)backward-pass: 6.0ms (13.5% of total)ival-sub: 4.0ms (9% of total)ival-add: 4.0ms (9% of total)const: 1.0ms (2.3% of total)Compiled 19 to 12 computations (36.8% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.3% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 3416× | +-lowering-+.f64 |
| 3416× | +-lowering-+.f32 |
| 3180× | *-lowering-*.f32 |
| 3180× | *-lowering-*.f64 |
| 1862× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 1 | 54 | 57 |
| 2 | 162 | 57 |
| 3 | 443 | 57 |
| 4 | 1777 | 57 |
| 0 | 8982 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 99.6% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 91.0% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 38.0ms | 203× | 0 | valid |
| 24.0ms | 45× | 2 | valid |
| 8.0ms | 7× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 63 to 13 computations (79.4% saved)
ival-div: 6.0ms (25% of total)backward-pass: 5.0ms (20.8% of total)ival-mult: 5.0ms (20.8% of total)ival-tanh: 4.0ms (16.7% of total)ival-sub: 2.0ms (8.3% of total)ival-add: 2.0ms (8.3% of total)const: 0.0ms (0% of total)| 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 (/ x y))> |
#<alt (tanh (/ 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 (+ 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)))> |
#<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 (* y z)> |
#<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)))))))> |
#<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 (- (+ (/ 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 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)> |
#<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 x 3) (pow y 2)))))) (+ x (+ (* 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 (/ (pow t 3) (pow y 2))))))) y)> |
#<alt (/ (- (+ t (+ (* -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 (/ (+ (* -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 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -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 (/ (+ (* -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 (/ (pow t 3) (pow y 2)))))))))) y)> |
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -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)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 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)) (+ (* -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)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* 1/3 (/ (pow x 2) (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 (- (+ (* 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 (/ 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)))))> |
#<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)))))> |
#<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)> |
#<alt (/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) y)> |
#<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 (+ (* -1/3 (/ (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))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 9.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | t | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | x | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | batch-egg-rewrite |
| 4676× | *-lowering-*.f32 |
| 4676× | *-lowering-*.f64 |
| 3988× | /-lowering-/.f32 |
| 3988× | /-lowering-/.f64 |
| 2132× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 91 | 47 |
| 2 | 896 | 47 |
| 0 | 8317 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 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 (/ x y)) |
(tanh (/ t y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))) (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t)))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.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 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (+.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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) #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 t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) |
(*.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 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) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))))) |
(tanh.f64 (/.f64 t y)) |
| 1× | egg-herbie |
| 3608× | *-lowering-*.f32 |
| 3608× | *-lowering-*.f64 |
| 3606× | +-lowering-+.f64 |
| 3606× | +-lowering-+.f32 |
| 1352× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 9897 |
| 1 | 1835 | 6884 |
| 0 | 8974 | 6884 |
| 1× | iter limit |
| 1× | node limit |
| 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))) |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
x |
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x |
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(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* 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))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) y) |
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(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) 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)) |
(* -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)) |
(/ t y) |
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(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
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(/ t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(* -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)) |
(* -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)) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
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(+ (* 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)))))))))) |
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x |
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x |
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x |
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(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.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 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.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 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 y y))))) (-.f64 x (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 0 binary64) (*.f64 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 0 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.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 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) y))) y) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 t t) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 t t) #s(literal 2/15 binary64)) (pow.f64 y #s(literal 5 binary64))))))) |
(* 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))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 t t) (+.f64 (*.f64 (*.f64 t t) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 t t) #s(literal -17/315 binary64)) (pow.f64 y #s(literal 7 binary64))))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.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))))) |
(/ 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)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y) |
(/.f64 (+.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 y y))) (/.f64 (*.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))))) (+ (* -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) |
(/.f64 (+.f64 t (+.f64 (*.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 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 y y)))) (-.f64 (/.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) (*.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 t #s(literal -1/2 binary64))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y 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 (/ (- (* 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)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (/.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (neg.f64 y)) y))) y) |
(* -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)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (/.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (/.f64 (-.f64 (-.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 #s(literal -1/6 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))))) (*.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) (*.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 t #s(literal 1/2 binary64)))) #s(literal 0 binary64)) (neg.f64 y))) (neg.f64 y)) y))) y) |
Compiled 21924 to 1875 computations (91.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 469 | 7 | 476 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 470 | 7 | 477 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.3% | (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) |
| 95.6% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) | |
| ▶ | 40.7% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| 61.3% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) | |
| ▶ | 57.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ▶ | 56.0% | (+.f64 x (*.f64 z (-.f64 t x))) |
| ▶ | 62.3% | x |
Compiled 210 to 132 computations (37.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 t x) y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 256 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 t x)) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) |
| 4228× | +-lowering-+.f64 |
| 4228× | +-lowering-+.f32 |
| 3440× | *-lowering-*.f32 |
| 3440× | *-lowering-*.f64 |
| 1406× | --lowering--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 163 |
| 1 | 80 | 159 |
| 2 | 237 | 159 |
| 3 | 685 | 159 |
| 4 | 2390 | 158 |
| 0 | 8211 | 158 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)) |
x |
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) |
(* (- (tanh (/ t y)) (tanh (/ x y))) y) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(tanh (/ t y)) |
(/ t y) |
t |
y |
(tanh (/ x y)) |
(/ x y) |
z |
x |
(+ x (* z (- t x))) |
x |
(* z (- t x)) |
z |
(- t x) |
t |
(+ 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) (- (tanh (/ t y)) (/ x y)))) |
x |
(* (* y z) (- (tanh (/ t y)) (/ x y))) |
(* y z) |
y |
z |
(- (tanh (/ t y)) (/ x y)) |
(tanh (/ t y)) |
(/ t y) |
t |
(/ x y) |
| Outputs |
|---|
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)) |
(+.f64 x (*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z))) |
x |
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) |
(*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)) |
(* (- (tanh (/ t y)) (tanh (/ x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(- (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) |
z |
x |
(+ x (* z (- t x))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
x |
(* z (- t x)) |
(*.f64 z (-.f64 t x)) |
z |
(- t x) |
(-.f64 t x) |
t |
(+ 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 y z) |
y |
z |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(- t x) |
(-.f64 t x) |
t |
(+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
x |
(* (* y z) (- (tanh (/ t y)) (/ x y))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(* y z) |
(*.f64 y z) |
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 |
(/ x y) |
(/.f64 x y) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ✓ | accuracy | 79.2% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 75.3% | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 t x)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 z (-.f64 t x))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 99.6% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 95.1% | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| 77.0ms | 203× | 0 | valid |
| 76.0ms | 45× | 2 | valid |
| 5.0ms | 7× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 176 to 23 computations (86.9% saved)
ival-mult: 15.0ms (31.2% of total)ival-div: 8.0ms (16.7% of total)ival-tanh: 7.0ms (14.6% of total)backward-pass: 6.0ms (12.5% of total)ival-add: 6.0ms (12.5% of total)ival-sub: 5.0ms (10.4% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z))> |
#<alt (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)> |
#<alt (* (- (tanh (/ t y)) (tanh (/ x y))) y)> |
#<alt (- (tanh (/ t y)) (tanh (/ x y)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (* z (- t x))> |
#<alt (- t x)> |
#<alt (+ x (* (* y z) (/ (- t x) y)))> |
#<alt (* (* y z) (/ (- t x) y))> |
#<alt (* y z)> |
#<alt (/ (- t x) y)> |
#<alt (+ x (* (* y z) (- (tanh (/ t y)) (/ x y))))> |
#<alt (* (* y z) (- (tanh (/ t y)) (/ x y)))> |
#<alt (- (tanh (/ t y)) (/ x y))> |
#<alt (tanh (/ x y))> |
#<alt (tanh (/ 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 (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<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 (* 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 (* 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> |
#<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)))> |
#<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)))))> |
#<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)))))> |
#<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)))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<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 (* 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 (* 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 (* 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<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)))))> |
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#<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))> |
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#<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)))))))))> |
#<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 (* -1 (/ x y))> |
#<alt (- (/ t y) (/ x y))> |
#<alt (- (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ x y))> |
#<alt (- (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ x y))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))> |
#<alt (- (/ (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 y))> |
#<alt (/ (- (* y (- (/ (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 (- (/ (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 (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) x) 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)))) (+ x (* 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))))) (+ x (+ (* -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 (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (* -1 x)) 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))) (* -1 x)) 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))) (* -1 x)) y))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ (exp (/ t y)) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 y) (/ 1 (* x (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* x (- (/ (exp (/ t y)) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 y) (/ 1 (* x (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* x (- (/ (exp (/ t y)) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 y) (/ 1 (* x (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) (/ 1 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)))))> |
#<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)))))> |
#<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)> |
#<alt (/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) y)> |
#<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 (+ (* -1/3 (/ (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))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
| 3.0ms | x | @ | inf | (* (- (tanh (/ t y)) (tanh (/ x y))) y) |
| 1.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
| 1.0ms | y | @ | -inf | (* (- (tanh (/ t y)) (tanh (/ x y))) y) |
| 1.0ms | t | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
| 1× | batch-egg-rewrite |
| 3610× | /-lowering-/.f32 |
| 3610× | /-lowering-/.f64 |
| 3470× | *-lowering-*.f32 |
| 3470× | *-lowering-*.f64 |
| 2244× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 133 |
| 1 | 171 | 129 |
| 2 | 1951 | 129 |
| 0 | 9645 | 129 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)) |
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) |
(* (- (tanh (/ t y)) (tanh (/ x y))) y) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(+ x (* z (- t x))) |
(* z (- t x)) |
(- t x) |
(+ x (* (* y z) (/ (- t x) y))) |
(* (* y z) (/ (- t x) y)) |
(* y z) |
(/ (- t x) y) |
(+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
(* (* y z) (- (tanh (/ t y)) (/ x y))) |
(- (tanh (/ t y)) (/ x y)) |
(tanh (/ x y)) |
(tanh (/ t y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) y) (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) x))) (neg.f64 (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (/.f64 y x)) (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) (/.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) y) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (/.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (/.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x))))) (neg.f64 (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (tanh.f64 (/.f64 t y)))))) |
(pow.f64 (/.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 y) (/.f64 (/.f64 x y) (/.f64 y x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (/.f64 #s(literal 1 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 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (/.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 (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) (+.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 #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) (/.f64 (cosh.f64 (/.f64 x y)) (sinh.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) |
(/.f64 #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 (expm1.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) (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) (/.f64 (cosh.f64 (/.f64 x y)) (sinh.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (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 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 x y)) (sinh.f64 (/.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (/.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))))) #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) (/.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 #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)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 t y)) (sinh.f64 (/.f64 t y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))))) |
(/.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 t y)) (sinh.f64 (/.f64 t y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t)))) (neg.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 t y)) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) |
(*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) #s(literal 1 binary64)))) |
(*.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)))))) |
(tanh.f64 (/.f64 t y)) |
| 1× | egg-herbie |
| 5944× | +-lowering-+.f64 |
| 5944× | +-lowering-+.f32 |
| 3696× | *-lowering-*.f32 |
| 3696× | *-lowering-*.f64 |
| 1384× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 745 | 17770 |
| 1 | 2714 | 14129 |
| 0 | 9070 | 14129 |
| 1× | iter limit |
| 1× | node limit |
| 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 (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(* 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))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) 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)))) (* 1/2 (/ (pow t 3) (pow y 2)))) 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))))) (+ (* -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) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(* -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)) |
(* -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)) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
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(+ (* 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)))))))))) |
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(+ (* 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)))))))))) |
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(+ (* 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)))))))))) |
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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))) |
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x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
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(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(/.f64 (+.f64 t (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 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))))) (+ (* -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) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1/12 binary64))) (*.f64 t (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 y y)))) (/.f64 #s(literal 0 binary64) y)) (-.f64 t (+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 y y))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y 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 (/ (- (* 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)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 t (*.f64 t t)))) (neg.f64 y)) y)) (neg.f64 y)) |
(* -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)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1/12 binary64)) (*.f64 t (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) t) (+.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t))))) #s(literal 0 binary64))) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 t (*.f64 t t))))) (neg.f64 y)) y)) (neg.f64 y)) |
Compiled 37788 to 3199 computations (91.5% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1225 | 22 | 1247 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1230 | 24 | 1254 |
| Status | Accuracy | Program |
|---|---|---|
| 24.4% | (/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) | |
| 6.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) | |
| 60.7% | (+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) | |
| 53.7% | (+.f64 x (+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))) | |
| ▶ | 44.0% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
| ▶ | 42.5% | (+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
| 55.9% | (+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) | |
| 16.5% | (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) | |
| 51.2% | (+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) | |
| 64.8% | (+.f64 x (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) | |
| ▶ | 95.6% | (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)) |
| 46.6% | (+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) | |
| 21.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) | |
| 39.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) | |
| 40.7% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) | |
| ✓ | 57.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ▶ | 22.8% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
| 35.3% | (+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) | |
| 56.0% | (+.f64 x (*.f64 z t)) | |
| 24.4% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 24.8% | (*.f64 z (-.f64 t x)) | |
| ▶ | 14.8% | (*.f64 z t) |
| 51.7% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) | |
| ✓ | 62.3% | x |
Compiled 943 to 521 computations (44.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 128 | (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
| ✓ | cost-diff | 0 | (/.f64 z y) |
| ✓ | cost-diff | 128 | (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
| ✓ | cost-diff | 384 | (+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 t x)) |
| ✓ | cost-diff | 0 | (/.f64 z (/.f64 y (-.f64 t x))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y) |
| ✓ | cost-diff | 256 | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
| ✓ | cost-diff | 0 | (*.f64 z t) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)) |
| 2756× | +-lowering-+.f64 |
| 2756× | +-lowering-+.f32 |
| 2740× | *-lowering-*.f32 |
| 2740× | *-lowering-*.f64 |
| 1862× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 261 |
| 1 | 123 | 250 |
| 2 | 319 | 248 |
| 3 | 918 | 232 |
| 4 | 3425 | 232 |
| 0 | 8134 | 232 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y)) |
x |
(* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) |
(* (- (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) |
z |
(* z t) |
z |
t |
(+ x (* (/ z (/ y (- t x))) y)) |
x |
(* (/ z (/ y (- t x))) y) |
(/ z (/ y (- t x))) |
z |
(/ y (- t x)) |
y |
(- t x) |
t |
(+ x (* (/ z y) (/ y (/ 1 (- t x))))) |
x |
(* (/ z y) (/ y (/ 1 (- t x)))) |
(/ z y) |
z |
y |
(/ y (/ 1 (- t x))) |
(/ 1 (- t x)) |
1 |
(- t x) |
t |
(+ x (* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))))) |
x |
(* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))))) |
z |
(/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))) |
1 |
(/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))) |
(+ (* t t) (* x (+ x t))) |
(* t t) |
t |
(* x (+ x t)) |
(+ x t) |
(- (* t (* t t)) (* x (* x x))) |
(* t (* t t)) |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y)) |
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
x |
(* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) |
(* (- (tanh (/ t y)) (tanh (/ x y))) z) |
(*.f64 (-.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) |
z |
(* z t) |
(*.f64 t z) |
z |
t |
(+ x (* (/ z (/ y (- t x))) y)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
x |
(* (/ z (/ y (- t x))) y) |
(*.f64 z (-.f64 t x)) |
(/ z (/ y (- t x))) |
(/.f64 z (/.f64 y (-.f64 t x))) |
z |
(/ y (- t x)) |
(/.f64 y (-.f64 t x)) |
y |
(- t x) |
(-.f64 t x) |
t |
(+ x (* (/ z y) (/ y (/ 1 (- t x))))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
x |
(* (/ z y) (/ y (/ 1 (- t x)))) |
(*.f64 z (-.f64 t x)) |
(/ z y) |
(/.f64 z y) |
z |
y |
(/ y (/ 1 (- t x))) |
(*.f64 y (-.f64 t x)) |
(/ 1 (- t x)) |
(/.f64 #s(literal 1 binary64) (-.f64 t x)) |
1 |
#s(literal 1 binary64) |
(- t x) |
(-.f64 t x) |
t |
(+ x (* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))))) |
(+.f64 x (/.f64 z (/.f64 (+.f64 (*.f64 x x) (*.f64 t (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
x |
(* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))))) |
(/.f64 z (/.f64 (+.f64 (*.f64 x x) (*.f64 t (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
z |
(/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 t (+.f64 x t)))) |
1 |
#s(literal 1 binary64) |
(/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 t (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
(+ (* t t) (* x (+ x t))) |
(+.f64 (*.f64 x x) (*.f64 t (+.f64 x t))) |
(* t t) |
(*.f64 t t) |
t |
(* x (+ x t)) |
(*.f64 x (+.f64 x t)) |
(+ x t) |
(+.f64 x t) |
(- (* t (* t t)) (* x (* x x))) |
(-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) |
(* t (* t t)) |
(*.f64 t (*.f64 t t)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 97.8% | (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) |
| ✓ | accuracy | 95.3% | (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 32.4% | (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 t x)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
| ✓ | accuracy | 99.7% | (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))) |
| ✓ | accuracy | 72.5% | (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
| ✓ | accuracy | 100.0% | (/.f64 y (-.f64 t x)) |
| ✓ | accuracy | 90.8% | (/.f64 z (/.f64 y (-.f64 t x))) |
| ✓ | accuracy | 81.0% | (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y) |
| ✓ | accuracy | 100.0% | (*.f64 z t) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 99.6% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 98.4% | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
| ✓ | accuracy | 92.9% | (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y) |
| 145.0ms | 203× | 0 | valid |
| 108.0ms | 49× | 2 | valid |
| 5.0ms | 3× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 306 to 37 computations (87.9% saved)
ival-mult: 23.0ms (27.4% of total)ival-div: 21.0ms (25.1% of total)ival-add: 16.0ms (19.1% of total)backward-pass: 14.0ms (16.7% of total)ival-tanh: 5.0ms (6% of total)ival-sub: 5.0ms (6% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y))> |
#<alt (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y)> |
#<alt (* (- (tanh (/ t y)) (tanh (/ x y))) z)> |
#<alt (- (tanh (/ t y)) (tanh (/ x y)))> |
#<alt (* z t)> |
#<alt (+ x (* (/ z (/ y (- t x))) y))> |
#<alt (* (/ z (/ y (- t x))) y)> |
#<alt (/ z (/ y (- t x)))> |
#<alt (/ y (- t x))> |
#<alt (+ x (* (/ z y) (/ y (/ 1 (- t x)))))> |
#<alt (* (/ z y) (/ y (/ 1 (- t x))))> |
#<alt (/ y (/ 1 (- t x)))> |
#<alt (/ z y)> |
#<alt (+ x (* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))))))> |
#<alt (* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))))> |
#<alt (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))))> |
#<alt (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))> |
#<alt (tanh (/ x y))> |
#<alt (/ 1 (- t x))> |
#<alt (- (* t (* t t)) (* x (* x x)))> |
#<alt (+ (* t t) (* x (+ x t)))> |
| 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> |
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#<alt (+ (* -1 (/ y x)) (* t (- (* t (- (* -1 (/ (* t y) (pow x 4))) (/ y (pow x 3)))) (/ y (pow x 2)))))> |
#<alt (/ y t)> |
#<alt (/ (+ y (/ (* x y) t)) t)> |
#<alt (/ (- (+ y (/ (* (pow x 2) y) (pow t 2))) (* -1 (/ (* x y) t))) t)> |
#<alt (/ (- (+ y (/ (* (pow x 3) y) (pow t 3))) (+ (* -1 (/ (* x y) t)) (* -1 (/ (* (pow x 2) y) (pow t 2))))) t)> |
#<alt (/ y t)> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* x y) t))) t))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* x y) (/ (* (pow x 2) y) t)) t))) t))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (* (pow x 3) y) t))) t)) (* x y)) t))) t))> |
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#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) y) x) (* -1 (* (pow t 2) y))) x)) (* t y)) x))) x))> |
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#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
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#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
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#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))> |
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#<alt (* t z)> |
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#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
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#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* t z)> |
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#<alt (* t y)> |
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#<alt (* -1 (* x (+ y (* -1 (/ (* t y) x)))))> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
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#<alt x> |
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#<alt (+ x (+ (* -1 (* x z)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z x)) (/ z x))) x) (+ (* -1 (/ z x)) (/ z x)))) (* -1 z)))))> |
#<alt (* t z)> |
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#<alt (* t z)> |
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#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) t)))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) t)) (* (pow x 2) z))) t)))) t)))))> |
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#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
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#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* -1 (* x z))> |
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#<alt (+ (* -1 (* x z)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z x)) (/ z x))) x) (+ (* -1 (/ z x)) (/ z x)))) (* -1 z))))> |
#<alt (* t z)> |
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#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) t))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) t)) (* (pow x 2) z))) t))) t)))))> |
#<alt (* t z)> |
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#<alt (* -1 (* x z))> |
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#<alt (* -1 (* x z))> |
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#<alt (* -1 x)> |
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#<alt (+ t (* -1 x))> |
#<alt t> |
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#<alt t> |
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#<alt t> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (* -1 x))> |
#<alt (* -1 x)> |
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#<alt (* -1 x)> |
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#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x)))))> |
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#<alt (/ -1 x)> |
#<alt (- (* -1 (/ t (pow x 2))) (/ 1 x))> |
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#<alt (- (* t (- (* t (- (* -1 (/ t (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 t)> |
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#<alt (/ (+ 1 (+ (/ x t) (+ (/ (pow x 2) (pow t 2)) (/ (pow x 3) (pow t 3))))) t)> |
#<alt (/ 1 t)> |
#<alt (* -1 (/ (- (* -1 (/ x t)) 1) t))> |
#<alt (* -1 (/ (- (* -1 (/ (+ x (/ (pow x 2) t)) t)) 1) t))> |
#<alt (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) t)) (* -1 (pow x 2))) t))) t)) 1) t))> |
#<alt (/ 1 t)> |
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#<alt (+ (* x (+ (/ 1 (pow t 2)) (/ x (pow t 3)))) (/ 1 t))> |
#<alt (+ (* x (+ (* x (+ (/ 1 (pow t 3)) (/ x (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t))> |
#<alt (/ -1 x)> |
#<alt (/ (- (* -1 (/ t x)) 1) x)> |
#<alt (/ (- (+ (* -1 (/ t x)) (* -1 (/ (pow t 2) (pow x 2)))) 1) x)> |
#<alt (/ (- (+ (* -1 (/ t x)) (+ (* -1 (/ (pow t 2) (pow x 2))) (* -1 (/ (pow t 3) (pow x 3))))) 1) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ t x)) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (/ (pow t 3) x) (pow t 2)) x))) x))) x))> |
#<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)))))> |
#<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)))))> |
#<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)> |
#<alt (/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) y)> |
#<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 (/ -1 x)> |
#<alt (- (* -1 (/ t (pow x 2))) (/ 1 x))> |
#<alt (- (* t (- (* -1 (/ t (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (- (* t (- (* t (- (* -1 (/ t (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 t)> |
#<alt (/ (+ 1 (/ x t)) t)> |
#<alt (/ (- (+ 1 (/ (pow x 2) (pow t 2))) (* -1 (/ x t))) t)> |
#<alt (/ (- (+ 1 (/ (pow x 3) (pow t 3))) (+ (* -1 (/ x t)) (* -1 (/ (pow x 2) (pow t 2))))) t)> |
#<alt (/ 1 t)> |
#<alt (* -1 (/ (- (* -1 (/ x t)) 1) t))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)) 1) t))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) t)) (pow x 2)) t)) (* -1 x)) t)) 1) t))> |
#<alt (/ 1 t)> |
#<alt (+ (/ 1 t) (/ x (pow t 2)))> |
#<alt (+ (* x (+ (/ 1 (pow t 2)) (/ x (pow t 3)))) (/ 1 t))> |
#<alt (+ (* x (+ (* x (+ (/ 1 (pow t 3)) (/ x (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t))> |
#<alt (/ -1 x)> |
#<alt (/ (- (* -1 (/ t x)) 1) x)> |
#<alt (/ (- (* -1 (/ (pow t 2) (pow x 2))) (+ 1 (/ t x))) x)> |
#<alt (/ (- (* -1 (/ (pow t 3) (pow x 3))) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ t x)) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow t 3) x) (* -1 (pow t 2))) x)) t) x))) x))> |
#<alt (* -1 (pow x 3))> |
#<alt (- (pow t 3) (pow x 3))> |
#<alt (- (pow t 3) (pow x 3))> |
#<alt (- (pow t 3) (pow x 3))> |
#<alt (pow t 3)> |
#<alt (* (pow t 3) (+ 1 (* -1 (/ (pow x 3) (pow t 3)))))> |
#<alt (* (pow t 3) (+ 1 (* -1 (/ (pow x 3) (pow t 3)))))> |
#<alt (* (pow t 3) (+ 1 (* -1 (/ (pow x 3) (pow t 3)))))> |
#<alt (pow t 3)> |
#<alt (* -1 (* (pow t 3) (- (/ (pow x 3) (pow t 3)) 1)))> |
#<alt (* -1 (* (pow t 3) (- (/ (pow x 3) (pow t 3)) 1)))> |
#<alt (* -1 (* (pow t 3) (- (/ (pow x 3) (pow t 3)) 1)))> |
#<alt (pow t 3)> |
#<alt (+ (* -1 (pow x 3)) (pow t 3))> |
#<alt (+ (* -1 (pow x 3)) (pow t 3))> |
#<alt (+ (* -1 (pow x 3)) (pow t 3))> |
#<alt (* -1 (pow x 3))> |
#<alt (* (pow x 3) (- (/ (pow t 3) (pow x 3)) 1))> |
#<alt (* (pow x 3) (- (/ (pow t 3) (pow x 3)) 1))> |
#<alt (* (pow x 3) (- (/ (pow t 3) (pow x 3)) 1))> |
#<alt (* -1 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3))))))> |
#<alt (pow x 2)> |
#<alt (+ (* t x) (pow x 2))> |
#<alt (+ (* t (+ t x)) (pow x 2))> |
#<alt (+ (* t (+ t x)) (pow x 2))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (/ x t)))> |
#<alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (/ x t)))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (pow t 2)> |
#<alt (+ (* t x) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
189 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (+ x (* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))))) |
| 3.0ms | x | @ | -inf | (+ (* t t) (* x (+ x t))) |
| 3.0ms | x | @ | 0 | (/ y (- t x)) |
| 2.0ms | z | @ | -inf | (* z t) |
| 1.0ms | z | @ | 0 | (+ x (* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))))) |
| 1× | batch-egg-rewrite |
| 2742× | *-lowering-*.f32 |
| 2742× | *-lowering-*.f64 |
| 2436× | fma-lowering-fma.f32 |
| 2436× | fma-lowering-fma.f64 |
| 1730× | prod-diff |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 164 |
| 1 | 285 | 156 |
| 2 | 2561 | 132 |
| 0 | 8399 | 132 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y)) |
(* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) |
(* (- (tanh (/ t y)) (tanh (/ x y))) z) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(* z t) |
(+ x (* (/ z (/ y (- t x))) y)) |
(* (/ z (/ y (- t x))) y) |
(/ z (/ y (- t x))) |
(/ y (- t x)) |
(+ x (* (/ z y) (/ y (/ 1 (- t x))))) |
(* (/ z y) (/ y (/ 1 (- t x)))) |
(/ y (/ 1 (- t x))) |
(/ z y) |
(+ x (* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))))) |
(* z (/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))))) |
(/ 1 (/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x))))) |
(/ (+ (* t t) (* x (+ x t))) (- (* t (* t t)) (* x (* x x)))) |
(tanh (/ x y)) |
(/ 1 (- t x)) |
(- (* t (* t t)) (* x (* x x))) |
(+ (* t t) (* x (+ x t))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.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)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) |
(*.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)) |
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) |
(+.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) z)) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) z)) |
(fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 z (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))) |
(/.f64 (*.f64 z (-.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 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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))) z) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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))) z) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(+.f64 (tanh.f64 (/.f64 t y)) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) |
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(pow.f64 (/.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)))) (+.f64 (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 x (+.f64 x t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 x (+.f64 x t))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 x (+.f64 x t)))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)))))) |
(*.f64 (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
| 1× | egg-herbie |
| 4372× | *-lowering-*.f32 |
| 4372× | *-lowering-*.f64 |
| 3696× | +-lowering-+.f64 |
| 3696× | +-lowering-+.f32 |
| 1342× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1106 | 17664 |
| 1 | 3979 | 14109 |
| 0 | 9254 | 14109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
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x |
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(* -1 (/ (- (* -1 (/ x t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) t)) (pow x 2)) t)) (* -1 x)) t)) 1) t)) |
(/ 1 t) |
(+ (/ 1 t) (/ x (pow t 2))) |
(+ (* x (+ (/ 1 (pow t 2)) (/ x (pow t 3)))) (/ 1 t)) |
(+ (* x (+ (* x (+ (/ 1 (pow t 3)) (/ x (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(/ -1 x) |
(/ (- (* -1 (/ t x)) 1) x) |
(/ (- (* -1 (/ (pow t 2) (pow x 2))) (+ 1 (/ t x))) x) |
(/ (- (* -1 (/ (pow t 3) (pow x 3))) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ t x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow t 3) x) (* -1 (pow t 2))) x)) t) x))) x)) |
(* -1 (pow x 3)) |
(- (pow t 3) (pow x 3)) |
(- (pow t 3) (pow x 3)) |
(- (pow t 3) (pow x 3)) |
(pow t 3) |
(* (pow t 3) (+ 1 (* -1 (/ (pow x 3) (pow t 3))))) |
(* (pow t 3) (+ 1 (* -1 (/ (pow x 3) (pow t 3))))) |
(* (pow t 3) (+ 1 (* -1 (/ (pow x 3) (pow t 3))))) |
(pow t 3) |
(* -1 (* (pow t 3) (- (/ (pow x 3) (pow t 3)) 1))) |
(* -1 (* (pow t 3) (- (/ (pow x 3) (pow t 3)) 1))) |
(* -1 (* (pow t 3) (- (/ (pow x 3) (pow t 3)) 1))) |
(pow t 3) |
(+ (* -1 (pow x 3)) (pow t 3)) |
(+ (* -1 (pow x 3)) (pow t 3)) |
(+ (* -1 (pow x 3)) (pow t 3)) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (/ (pow t 3) (pow x 3)) 1)) |
(* (pow x 3) (- (/ (pow t 3) (pow x 3)) 1)) |
(* (pow x 3) (- (/ (pow t 3) (pow x 3)) 1)) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3)))))) |
(pow x 2) |
(+ (* t x) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(pow t 2) |
(+ (* t x) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(*.f64 (*.f64 y z) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 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)))))))))) |
(+.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(+ (* 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)))))))))) |
(+.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y 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)))))))))) |
(+.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 z (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 y 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))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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))) |
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))))))))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))))))))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))))))))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+.f64 x (*.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 (+.f64 x (*.f64 t (+.f64 z (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 t t))) (*.f64 y y))))) (*.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 (+.f64 x (*.f64 t (+.f64 z (*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))))))) (*.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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)))))))))) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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)))))))))) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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)))))))))) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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)))))))))) |
(+.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 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)))))))))) |
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(+ 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)))))))))) |
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(+ 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)))))))))) |
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(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(* (pow x 3) (- (/ (pow t 3) (pow x 3)) 1)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(* -1 (pow x 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow t 3) (pow x 3)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
(pow x 2) |
(*.f64 x x) |
(+ (* t x) (pow x 2)) |
(*.f64 x (+.f64 t x)) |
(+ (* t (+ t x)) (pow x 2)) |
(+.f64 (*.f64 x x) (*.f64 t (+.f64 t x))) |
(+ (* t (+ t x)) (pow x 2)) |
(+.f64 (*.f64 x x) (*.f64 t (+.f64 t x))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t))) |
(pow t 2) |
(*.f64 t t) |
(+ (* t x) (pow t 2)) |
(*.f64 t (+.f64 t x)) |
(+ (* x (+ t x)) (pow t 2)) |
(+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) |
(+ (* x (+ t x)) (pow t 2)) |
(+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 t x))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x)) (/.f64 (*.f64 t t) (*.f64 x x)))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x)) (/.f64 (*.f64 t t) (*.f64 x x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 t x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) x)) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) x)) x))) |
Compiled 41301 to 3513 computations (91.5% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1540 | 15 | 1555 |
| Fresh | 3 | 14 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1545 | 34 | 1579 |
| Status | Accuracy | Program |
|---|---|---|
| 24.4% | (/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) | |
| 6.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) | |
| 60.7% | (+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) | |
| 55.9% | (+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) | |
| 45.2% | (+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) | |
| 52.0% | (+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) | |
| 51.6% | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) | |
| 53.7% | (+.f64 x (+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))) | |
| ▶ | 15.5% | (+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
| ▶ | 49.5% | (+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
| 14.1% | (+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) | |
| ✓ | 44.0% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
| 43.6% | (+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) | |
| 51.2% | (+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) | |
| ▶ | 64.8% | (+.f64 x (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
| 31.1% | (+.f64 x (*.f64 (*.f64 (-.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)))))) z) y)) | |
| ✓ | 95.6% | (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)) |
| 46.6% | (+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) | |
| 21.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) | |
| 39.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) | |
| ✓ | 57.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| 22.0% | (+.f64 x (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) | |
| 13.5% | (+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) | |
| 10.9% | (+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) | |
| ▶ | 60.4% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
| 16.9% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) | |
| 51.6% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) | |
| 35.3% | (+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) | |
| 56.0% | (+.f64 x (*.f64 z t)) | |
| 24.4% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 24.8% | (*.f64 z (-.f64 t x)) | |
| ✓ | 14.8% | (*.f64 z t) |
| ▶ | 51.7% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 62.3% | x |
Compiled 1448 to 769 computations (46.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y) |
| ✓ | cost-diff | 256 | (+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)) |
| ✓ | cost-diff | 128 | (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y) |
| ✓ | cost-diff | 384 | (+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
| 3576× | *-lowering-*.f32 |
| 3576× | *-lowering-*.f64 |
| 2320× | /-lowering-/.f32 |
| 2320× | /-lowering-/.f64 |
| 1714× | sum5-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 315 |
| 1 | 131 | 306 |
| 2 | 368 | 289 |
| 3 | 1056 | 277 |
| 4 | 3549 | 277 |
| 5 | 7736 | 277 |
| 0 | 8555 | 277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* (- (/ t y) (tanh (/ x y))) y) z)) |
x |
(* (* (- (/ t y) (tanh (/ x y))) y) z) |
(* (- (/ t y) (tanh (/ x y))) y) |
(- (/ t y) (tanh (/ x y))) |
(/ t y) |
t |
y |
(tanh (/ x y)) |
(/ x y) |
z |
(* x (- 1 z)) |
x |
(- 1 z) |
1 |
z |
(+ x (* (/ (* z (- 0 x)) y) y)) |
x |
(* (/ (* z (- 0 x)) y) y) |
(/ (* z (- 0 x)) y) |
(* z (- 0 x)) |
z |
(- 0 x) |
0 |
y |
(+ x (* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)))) |
x |
(* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t))) |
z |
(/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)) |
1 |
(/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t) |
(+ 1 (/ (+ x (/ (* x x) t)) t)) |
(/ (+ x (/ (* x x) t)) t) |
(+ x (/ (* x x) t)) |
(/ (* x x) t) |
(* x x) |
t |
(+ x (* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y)) |
x |
(* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y) |
(/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) |
(* z (- (* t (* t t)) (* x (* x x)))) |
z |
(- (* t (* t t)) (* x (* x x))) |
(* t (* t t)) |
t |
(* t t) |
(* x (* x x)) |
(* x x) |
(* y (+ (* t t) (* x (+ x t)))) |
y |
(+ (* t t) (* x (+ x t))) |
(* x (+ x t)) |
(+ x t) |
| Outputs |
|---|
(+ x (* (* (- (/ t y) (tanh (/ x y))) y) z)) |
(+.f64 x (*.f64 (-.f64 t (*.f64 y (tanh.f64 (/.f64 x y)))) z)) |
x |
(* (* (- (/ t y) (tanh (/ x y))) y) z) |
(*.f64 (-.f64 t (*.f64 y (tanh.f64 (/.f64 x y)))) z) |
(* (- (/ t y) (tanh (/ x y))) y) |
(-.f64 t (*.f64 y (tanh.f64 (/.f64 x y)))) |
(- (/ t y) (tanh (/ x y))) |
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) |
(/ t y) |
(/.f64 t y) |
t |
y |
(tanh (/ x y)) |
(tanh.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
z |
(* 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 (- 0 x)) y) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
x |
(* (/ (* z (- 0 x)) y) y) |
(-.f64 #s(literal 0 binary64) (*.f64 x z)) |
(/ (* z (- 0 x)) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y) |
(* z (- 0 x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x z)) |
z |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
y |
(+ x (* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)))) |
(+.f64 x (/.f64 (*.f64 t z) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t))))) |
x |
(* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t))) |
(/.f64 (*.f64 t z) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t)))) |
z |
(/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)) |
(/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t)))) |
1 |
#s(literal 1 binary64) |
(/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t))) t) |
(+ 1 (/ (+ x (/ (* x x) t)) t)) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t))) |
(/ (+ x (/ (* x x) t)) t) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 x t)) |
(+ x (/ (* x x) t)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x t))) |
(/ (* x x) t) |
(/.f64 (*.f64 x x) t) |
(* x x) |
(*.f64 x x) |
t |
(+ x (* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y)) |
(+.f64 x (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
x |
(* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y) |
(/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) |
(/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) |
(/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
(* z (- (* t (* t t)) (* x (* x x)))) |
(*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
z |
(- (* t (* t t)) (* x (* x x))) |
(-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) |
(* t (* t t)) |
(*.f64 t (*.f64 t t)) |
t |
(* t t) |
(*.f64 t t) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* y (+ (* t t) (* x (+ x t)))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) |
y |
(+ (* t t) (* x (+ x t))) |
(+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) |
(* x (+ x t)) |
(*.f64 x (+.f64 x t)) |
(+ x t) |
(+.f64 x t) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.0% | (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 88.2% | (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) |
| ✓ | accuracy | 81.0% | (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y) |
| ✓ | accuracy | 45.9% | (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
| ✓ | accuracy | 98.9% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t) |
| ✓ | accuracy | 97.0% | (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
| ✓ | accuracy | 93.9% | (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t))) |
| ✓ | accuracy | 87.5% | (/.f64 (*.f64 x x) t) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
| ✓ | accuracy | 92.9% | (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) |
| ✓ | accuracy | 82.8% | (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 84.1% | (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) |
| 262.0ms | 256× | 0 | valid |
Compiled 369 to 42 computations (88.6% saved)
ival-mult: 37.0ms (54.7% of total)ival-div: 14.0ms (20.7% of total)ival-add: 9.0ms (13.3% of total)ival-sub: 5.0ms (7.4% of total)ival-tanh: 2.0ms (3% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* (* (- (/ t y) (tanh (/ x y))) y) z))> |
#<alt (* (* (- (/ t y) (tanh (/ x y))) y) z)> |
#<alt (* (- (/ t y) (tanh (/ x y))) y)> |
#<alt (- (/ t y) (tanh (/ x y)))> |
#<alt (* x (- 1 z))> |
#<alt (- 1 z)> |
#<alt (+ x (* (/ (* z (- 0 x)) y) y))> |
#<alt (* (/ (* z (- 0 x)) y) y)> |
#<alt (/ (* z (- 0 x)) y)> |
#<alt (* z (- 0 x))> |
#<alt (+ x (* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t))))> |
#<alt (* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)))> |
#<alt (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t))> |
#<alt (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)> |
#<alt (+ x (* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y))> |
#<alt (* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y)> |
#<alt (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t)))))> |
#<alt (* z (- (* t (* t t)) (* x (* x x))))> |
#<alt (tanh (/ x y))> |
#<alt (/ (* x x) t)> |
#<alt (/ (+ x (/ (* x x) t)) t)> |
#<alt (* y (+ (* t t) (* x (+ x t))))> |
| Outputs |
|---|
#<alt (* t z)> |
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))> |
#<alt (+ (* t z) (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))))> |
#<alt (+ (* t z) (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)) 1)))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* t z)> |
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))> |
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))> |
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))> |
#<alt (+ x (* t z))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* z (- t x))))> |
#<alt (+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 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))))))) (pow y 2)))))> |
#<alt (+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 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))))))) (pow y 2)) (/ (* 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 (* 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))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2)))) (/ (* z (- (* -1/2 (pow x 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 (/ (+ (* -1 (* z (- (* -1/2 (pow x 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 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)) (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (* -1 (/ x z)))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* t z)> |
#<alt (* t (+ z (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t)))> |
#<alt (* t (+ z (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t)))> |
#<alt (* t (+ z (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t)))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) t))))> |
#<alt (* t z)> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (- t x))> |
#<alt (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* z (- t x)))> |
#<alt (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 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))))))) (pow y 2))))> |
#<alt (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 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))))))) (pow y 2)) (/ (* 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 (* 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)))))> |
#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)))> |
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2)))) (/ (* z (- (* -1/2 (pow x 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 (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* -1/2 (pow x 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 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)) (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (* t z)> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* t z) (* x (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))))> |
#<alt (+ (* t z) (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt t> |
#<alt (* t (+ 1 (/ (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) t)))> |
#<alt (* t (+ 1 (/ (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) t)))> |
#<alt (* t (+ 1 (/ (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) t)))> |
#<alt t> |
#<alt (* -1 (* t (- (/ (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t) 1)))> |
#<alt (* -1 (* t (- (/ (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t) 1)))> |
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#<alt t> |
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#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (+ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) (* (pow x 3) z)) t)) (* (pow x 2) z))) t)))) t)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (/ (* t z) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (* t z)> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* t z) (* x (- (* -1 (* x (+ (* -1 (/ z t)) (/ z t)))) z)))> |
#<alt (+ (* t z) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ z (pow t 2))) (* -1 (/ (+ (* -1 (/ z t)) (/ z t)) t))))) (+ (* -1 (/ z t)) (/ z t)))) z)))> |
#<alt (/ (* (pow t 3) z) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (* (pow t 4) z) x)) (* (pow t 3) z)) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (pow t 5) z)) (* (pow t 5) z)) (pow x 2))) (* (pow t 3) z)) (/ (* (pow t 4) z) x)) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* t (+ (* -1 (* (pow t 5) z)) (* (pow t 5) z)))) (* -1 (* (pow t 6) z))) (pow x 3))) (* (pow t 3) z)) (+ (* -1 (/ (* (pow t 5) z) (pow x 2))) (+ (/ (* (pow t 4) z) x) (/ (* (pow t 5) z) (pow x 2))))) (pow x 2))> |
#<alt (/ (* (pow t 3) z) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (* (pow t 4) z) x)) (* (pow t 3) z)) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow t 5) z) x)) (/ (* (pow t 5) z) x)) (* -1 (* (pow t 4) z))) x)) (* (pow t 3) z)) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (* (pow t 5) z)) (* (pow t 5) z))) x) (/ (* (pow t 6) z) x)) (+ (* -1 (* (pow t 5) z)) (* (pow t 5) z))) x)) (* -1 (* (pow t 4) z))) x)) (* (pow t 3) z)) (pow x 2))> |
#<alt (/ (* (pow t 3) z) (pow x 2))> |
#<alt (* (pow t 3) (+ (* -1 (/ (* t z) (pow x 3))) (/ z (pow x 2))))> |
#<alt (* (pow t 3) (+ (* t (- (* -1 (* t (+ (* -1 (/ z (pow x 4))) (/ z (pow x 4))))) (/ z (pow x 3)))) (/ z (pow x 2))))> |
#<alt (* (pow t 3) (+ (* t (- (* t (- (* -1 (* t (+ (* -1 (/ z (pow x 5))) (* -1 (/ (+ (* -1 (/ z (pow x 4))) (/ z (pow x 4))) x))))) (+ (* -1 (/ z (pow x 4))) (/ z (pow x 4))))) (/ z (pow x 3)))) (/ z (pow x 2))))> |
#<alt (* t z)> |
#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
#<alt (* t (- (+ z (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) (pow t 2)))) (/ (* x z) t)))> |
#<alt (* t (- (+ z (* -1 (/ (+ (* -1 (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)))) (* -1 (* (pow x 3) z))) (pow t 3)))) (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (+ (/ (* x z) t) (/ (* (pow x 2) z) (pow t 2))))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) t))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (+ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) (* (pow x 3) z)) t)) (* (pow x 2) z))) t))) t)))))> |
#<alt t> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (* x (- (/ (pow x 2) (pow t 2)) 1)))> |
#<alt (+ t (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2)))) 1)))> |
#<alt (/ (pow t 3) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (pow t 4) x)) (pow t 3)) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (pow t 5)) (pow t 5)) (pow x 2))) (pow t 3)) (/ (pow t 4) x)) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 5)) (pow t 5)))) (* -1 (pow t 6))) (pow x 3))) (pow t 3)) (+ (* -1 (/ (pow t 5) (pow x 2))) (+ (/ (pow t 4) x) (/ (pow t 5) (pow x 2))))) (pow x 2))> |
#<alt (/ (pow t 3) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (pow t 4) x)) (pow t 3)) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow t 5) x)) (/ (pow t 5) x)) (* -1 (pow t 4))) x)) (pow t 3)) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 5)) (pow t 5))) x) (/ (pow t 6) x)) (+ (* -1 (pow t 5)) (pow t 5))) x)) (* -1 (pow t 4))) x)) (pow t 3)) (pow x 2))> |
#<alt (/ (pow t 3) (pow x 2))> |
#<alt (* (pow t 3) (+ (* -1 (/ t (pow x 3))) (/ 1 (pow x 2))))> |
#<alt (* (pow t 3) (+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))> |
#<alt (* (pow t 3) (+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))> |
#<alt t> |
#<alt (* t (+ 1 (* -1 (/ x t))))> |
#<alt (* t (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow t 2)))) (/ x t)))> |
#<alt (* t (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))))> |
#<alt t> |
#<alt (* -1 (* t (- (/ x t) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) x) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) t)) (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) x) t)) 1)))> |
#<alt (/ 1 t)> |
#<alt (+ (/ 1 t) (/ x (pow t 2)))> |
#<alt (+ (* x (+ (/ 1 (pow t 2)) (/ x (pow t 3)))) (/ 1 t))> |
#<alt (+ (* x (+ (/ 1 (pow t 2)) (/ x (pow t 3)))) (/ 1 t))> |
#<alt (/ (pow x 2) (pow t 3))> |
#<alt (* (pow x 2) (+ (/ 1 (* (pow t 2) x)) (/ 1 (pow t 3))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t (pow x 2))) (+ (/ 1 (* (pow t 2) x)) (/ 1 (pow t 3)))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t (pow x 2))) (+ (/ 1 (* (pow t 2) x)) (/ 1 (pow t 3)))))> |
#<alt (/ (pow x 2) (pow t 3))> |
#<alt (* (pow x 2) (+ (/ 1 (* (pow t 2) x)) (/ 1 (pow t 3))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t (pow x 2))) (+ (/ 1 (* (pow t 2) x)) (/ 1 (pow t 3)))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t (pow x 2))) (+ (/ 1 (* (pow t 2) x)) (/ 1 (pow t 3)))))> |
#<alt (/ (pow x 2) (pow t 3))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow t 3))> |
#<alt (/ (+ (* t (+ t x)) (pow x 2)) (pow t 3))> |
#<alt (/ (+ (* t (+ t x)) (pow x 2)) (pow t 3))> |
#<alt (/ 1 t)> |
#<alt (/ (+ 1 (/ x t)) t)> |
#<alt (/ (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))) t)> |
#<alt (/ (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))) t)> |
#<alt (/ 1 t)> |
#<alt (* -1 (/ (- (* -1 (/ x t)) 1) t))> |
#<alt (* -1 (/ (- (* -1 (/ (+ x (/ (pow x 2) t)) t)) 1) t))> |
#<alt (* -1 (/ (- (* -1 (/ (+ x (/ (pow x 2) t)) t)) 1) t))> |
#<alt (* t z)> |
#<alt (+ (* t z) (* x (- 1 z)))> |
#<alt (+ (* t z) (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ z t)) (/ z t))))) z)))> |
#<alt (+ (* t z) (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ z t)) (/ z t))) t) (+ (* -1 (/ z t)) (/ z t))))) z)))> |
#<alt (* x (+ 1 (* -1 z)))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))> |
#<alt (* x (- (+ 1 (+ (* -1 z) (* -1 (/ (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z)) (pow x 2))))) (* -1 (/ (* t z) x))))> |
#<alt (* x (- (+ 1 (+ (* -1 z) (/ (* t (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) (pow x 3)))) (+ (* -1 (/ (* t z) x)) (+ (* -1 (/ (* (pow t 2) z) (pow x 2))) (/ (* (pow t 2) z) (pow x 2))))))> |
#<alt (* -1 (* x (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (/ (* (pow t 2) z) x)) (/ (* (pow t 2) z) x)) (* -1 (* t z))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) x) (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) x)) (* -1 (* t z))) x))) 1)))> |
#<alt x> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<alt (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2)))))> |
#<alt (* z (- (+ (/ x z) (/ (pow t 3) (+ (* x (+ t x)) (pow t 2)))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2)))))> |
#<alt (* z (- (+ (/ x z) (/ (pow t 3) (+ (* x (+ t x)) (pow t 2)))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2)))))> |
#<alt (* z (- (+ (/ x z) (/ (pow t 3) (+ (* x (+ t x)) (pow t 2)))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2)))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (pow t 3) (pow x 3)) (+ (* x (+ t x)) (pow t 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (pow t 3) (pow x 3)) (+ (* x (+ t x)) (pow t 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (pow t 3) (pow x 3)) (+ (* x (+ t x)) (pow t 2)))))))> |
#<alt (+ x (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (- (* -1 (* t (+ (* -1 (/ z x)) (/ z x)))) (* -1 z)))))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z x)) (/ z x))) x) (+ (* -1 (/ z x)) (/ z x)))) (* -1 z)))))> |
#<alt (* t z)> |
#<alt (* t (- (+ z (/ x t)) (/ (* x z) t)))> |
#<alt (* t (- (+ z (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) (pow t 2))) (/ x t))) (/ (* x z) t)))> |
#<alt (* t (- (+ z (+ (/ x t) (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) (pow t 3)))) (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (+ (/ (* x z) t) (/ (* (pow x 2) z) (pow t 2))))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) t)))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) t)) (* (pow x 2) z))) t)))) t)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* -1 (* x z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* -1 (* x z)) (* t (- (* -1 (* t (+ (* -1 (/ z x)) (/ z x)))) (* -1 z))))> |
#<alt (+ (* -1 (* x z)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z x)) (/ z x))) x) (+ (* -1 (/ z x)) (/ z x)))) (* -1 z))))> |
#<alt (* t z)> |
#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
#<alt (* t (- (+ z (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) (pow t 2)))) (/ (* x z) t)))> |
#<alt (* t (- (+ z (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) (pow t 3))) (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (+ (/ (* x z) t) (/ (* (pow x 2) z) (pow t 2))))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) t))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) t)) (* (pow x 2) z))) t))) t)))))> |
#<alt (* t z)> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* t z) (* x (- (* -1 (* x (+ (* -1 (/ z t)) (/ z t)))) z)))> |
#<alt (+ (* t z) (* x (- (* x (- (/ (* x (+ (* -1 (/ z t)) (/ z t))) t) (+ (* -1 (/ z t)) (/ z t)))) z)))> |
#<alt (* -1 (* x z))> |
#<alt (* x (+ (* -1 z) (/ (* t z) x)))> |
#<alt (* x (- (+ (* -1 z) (* -1 (/ (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z)) (pow x 2)))) (* -1 (/ (* t z) x))))> |
#<alt (* x (- (+ (* -1 z) (/ (* t (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) (pow x 3))) (+ (* -1 (/ (* t z) x)) (+ (* -1 (/ (* (pow t 2) z) (pow x 2))) (/ (* (pow t 2) z) (pow x 2))))))> |
#<alt (* -1 (* x z))> |
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))> |
#<alt (* -1 (* x (+ z (* -1 (/ (- (+ (* -1 (/ (* (pow t 2) z) x)) (/ (* (pow t 2) z) x)) (* -1 (* t z))) x)))))> |
#<alt (* -1 (* x (+ z (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) x) (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) x)) (* -1 (* t z))) x)))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (+ (* -1 (/ (* x z) y)) (/ (* t z) y))> |
#<alt (+ (* -1 (/ (* x z) y)) (* t (- (* -1 (* t (+ (* -1 (/ z (* x y))) (/ z (* x y))))) (* -1 (/ z y)))))> |
#<alt (+ (* -1 (/ (* x z) y)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z (* x y))) (/ z (* x y)))) x) (+ (* -1 (/ z (* x y))) (/ z (* x y))))) (* -1 (/ z y)))))> |
#<alt (/ (* t z) y)> |
#<alt (* t (+ (* -1 (/ (* x z) (* t y))) (/ z y)))> |
#<alt (* t (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y)) (pow t 2))) (/ z y)) (/ (* x z) (* t y))))> |
#<alt (* t (- (+ (/ z y) (/ (* x (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y))) (pow t 3))) (+ (* -1 (/ (* (pow x 2) z) (* (pow t 2) y))) (+ (/ (* x z) (* t y)) (/ (* (pow x 2) z) (* (pow t 2) y))))))> |
#<alt (/ (* t z) y)> |
#<alt (* -1 (* t (+ (* -1 (/ z y)) (/ (* x z) (* t y)))))> |
#<alt (* -1 (* t (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* x z) y)) (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y)) t))) t)))))> |
#<alt (* -1 (* t (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* x z) y)) (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y))) t)) (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y))) t))) t)))))> |
#<alt (/ (* t z) y)> |
#<alt (+ (* -1 (/ (* x z) y)) (/ (* t z) y))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ z (* t y))) (/ z (* t y))))) (/ z y))) (/ (* t z) y))> |
#<alt (+ (* x (- (* x (- (/ (* x (+ (* -1 (/ z (* t y))) (/ z (* t y)))) t) (+ (* -1 (/ z (* t y))) (/ z (* t y))))) (/ z y))) (/ (* t z) y))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* x (+ (* -1 (/ z y)) (/ (* t z) (* x y))))> |
#<alt (* x (- (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y)) (pow x 2)))) (* -1 (/ (* t z) (* x y)))))> |
#<alt (* x (- (+ (* -1 (/ z y)) (/ (* t (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y))) (pow x 3))) (+ (* -1 (/ (* t z) (* x y))) (+ (* -1 (/ (* (pow t 2) z) (* (pow x 2) y))) (/ (* (pow t 2) z) (* (pow x 2) y))))))> |
#<alt (* -1 (/ (* x z) y))> |
#<alt (* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (* (pow t 2) z) (* x y))) (/ (* (pow t 2) z) (* x y))) (* -1 (/ (* t z) y))) x)) (/ z y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y))) x) (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y))) x)) (* -1 (/ (* t z) y))) x)) (/ z y))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2))))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* z (- (pow t 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) z))> |
#<alt (+ (* -1 (* (pow x 3) z)) (* (pow t 3) z))> |
#<alt (+ (* -1 (* (pow x 3) z)) (* (pow t 3) z))> |
#<alt (+ (* -1 (* (pow x 3) z)) (* (pow t 3) z))> |
#<alt (* (pow t 3) z)> |
#<alt (* (pow t 3) (+ z (* -1 (/ (* (pow x 3) z) (pow t 3)))))> |
#<alt (* (pow t 3) (+ z (* -1 (/ (* (pow x 3) z) (pow t 3)))))> |
#<alt (* (pow t 3) (+ z (* -1 (/ (* (pow x 3) z) (pow t 3)))))> |
#<alt (* (pow t 3) z)> |
#<alt (* -1 (* (pow t 3) (+ (* -1 z) (/ (* (pow x 3) z) (pow t 3)))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 z) (/ (* (pow x 3) z) (pow t 3)))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 z) (/ (* (pow x 3) z) (pow t 3)))))> |
#<alt (* (pow t 3) z)> |
#<alt (+ (* -1 (* (pow x 3) z)) (* (pow t 3) z))> |
#<alt (+ (* -1 (* (pow x 3) z)) (* (pow t 3) z))> |
#<alt (+ (* -1 (* (pow x 3) z)) (* (pow t 3) z))> |
#<alt (* -1 (* (pow x 3) z))> |
#<alt (* (pow x 3) (+ (* -1 z) (/ (* (pow t 3) z) (pow x 3))))> |
#<alt (* (pow x 3) (+ (* -1 z) (/ (* (pow t 3) z) (pow x 3))))> |
#<alt (* (pow x 3) (+ (* -1 z) (/ (* (pow t 3) z) (pow x 3))))> |
#<alt (* -1 (* (pow x 3) z))> |
#<alt (* -1 (* (pow x 3) (+ z (* -1 (/ (* (pow t 3) z) (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (+ z (* -1 (/ (* (pow t 3) z) (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (+ z (* -1 (/ (* (pow t 3) z) (pow x 3))))))> |
#<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)))))> |
#<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)))))> |
#<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)> |
#<alt (/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) y)> |
#<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 (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ (pow x 2) t)> |
#<alt (/ x t)> |
#<alt (* x (+ (/ 1 t) (/ x (pow t 2))))> |
#<alt (* x (+ (/ 1 t) (/ x (pow t 2))))> |
#<alt (* x (+ (/ 1 t) (/ x (pow t 2))))> |
#<alt (/ (pow x 2) (pow t 2))> |
#<alt (* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2))))> |
#<alt (/ (pow x 2) (pow t 2))> |
#<alt (* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2))))> |
#<alt (* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2))))> |
#<alt (/ (pow x 2) (pow t 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow t 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow t 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow t 2))> |
#<alt (/ x t)> |
#<alt (/ (+ x (/ (pow x 2) t)) t)> |
#<alt (/ (+ x (/ (pow x 2) t)) t)> |
#<alt (/ (+ x (/ (pow x 2) t)) t)> |
#<alt (/ x t)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* y (+ (* x (+ t x)) (pow t 2)))> |
#<alt (* (pow x 2) y)> |
#<alt (+ (* t (* x y)) (* (pow x 2) y))> |
#<alt (+ (* t (+ (* t y) (* x y))) (* (pow x 2) y))> |
#<alt (+ (* t (+ (* t y) (* x y))) (* (pow x 2) y))> |
#<alt (* (pow t 2) y)> |
#<alt (* (pow t 2) (+ y (/ (* x y) t)))> |
#<alt (* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2)))))> |
#<alt (* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2)))))> |
#<alt (* (pow t 2) y)> |
#<alt (* (pow t 2) (+ y (/ (* x y) t)))> |
#<alt (* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t))))> |
#<alt (* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t))))> |
#<alt (* (pow t 2) y)> |
#<alt (+ (* t (* x y)) (* (pow t 2) y))> |
#<alt (+ (* x (+ (* t y) (* x y))) (* (pow t 2) y))> |
#<alt (+ (* x (+ (* t y) (* x y))) (* (pow t 2) y))> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) (+ y (/ (* t y) x)))> |
#<alt (* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2)))))> |
#<alt (* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2)))))> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) (+ y (/ (* t y) x)))> |
#<alt (* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x))))> |
#<alt (* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x))))> |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | t | @ | -inf | (* (- (/ t y) (tanh (/ x y))) y) |
| 16.0ms | y | @ | 0 | (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) |
| 7.0ms | y | @ | inf | (+ x (* (* (- (/ t y) (tanh (/ x y))) y) z)) |
| 4.0ms | x | @ | -inf | (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)) |
| 4.0ms | x | @ | 0 | (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) |
| 1× | batch-egg-rewrite |
| 3088× | *-lowering-*.f32 |
| 3088× | *-lowering-*.f64 |
| 2344× | pow-lowering-pow.f64 |
| 2344× | pow-lowering-pow.f32 |
| 2204× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 236 |
| 1 | 313 | 227 |
| 2 | 3095 | 223 |
| 0 | 8453 | 223 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* (- (/ t y) (tanh (/ x y))) y) z)) |
(* (* (- (/ t y) (tanh (/ x y))) y) z) |
(* (- (/ t y) (tanh (/ x y))) y) |
(- (/ t y) (tanh (/ x y))) |
(* x (- 1 z)) |
(- 1 z) |
(+ x (* (/ (* z (- 0 x)) y) y)) |
(* (/ (* z (- 0 x)) y) y) |
(/ (* z (- 0 x)) y) |
(* z (- 0 x)) |
(+ x (* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)))) |
(* z (/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t))) |
(/ 1 (/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t)) |
(/ (+ 1 (/ (+ x (/ (* x x) t)) t)) t) |
(+ x (* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y)) |
(* (/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) y) |
(/ (* z (- (* t (* t t)) (* x (* x x)))) (* y (+ (* t t) (* x (+ x t))))) |
(* z (- (* t (* t t)) (* x (* x x)))) |
(tanh (/ x y)) |
(/ (* x x) t) |
(/ (+ x (/ (* x x) t)) t) |
(* y (+ (* t t) (* x (+ x t)))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(fma.f64 y (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.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 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 y y) y)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (+.f64 (/.f64 t (*.f64 (/.f64 y t) y)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))) |
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(fma.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 z (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(fma.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) z)) |
(fma.f64 (*.f64 t (*.f64 t t)) z (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) z)) |
(fma.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) z (*.f64 z (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(fma.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) z (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) z)) |
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) z) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) z) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
(*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) z) |
(-.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 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #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 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #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 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(tanh.f64 (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 x x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) t))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x x) t) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) t) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) t))) |
(pow.f64 (/.f64 t (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x t)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) t)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x t) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 x (/.f64 (*.f64 x x) t)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) (-.f64 #s(literal 0 binary64) t))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (*.f64 x x) t))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (+.f64 x (/.f64 (*.f64 x x) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (+.f64 x (/.f64 (*.f64 x x) t))) #s(literal 1 binary64))) |
(/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (+.f64 x (/.f64 (*.f64 x x) t))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (*.f64 x x) t))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 t (*.f64 t t)))) (*.f64 t (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) t) (-.f64 (/.f64 (*.f64 x x) t) x))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x x) t) (/.f64 t (*.f64 x x)))) (*.f64 t (-.f64 x (/.f64 (*.f64 x x) t)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 x x) t))) t) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (*.f64 x x) t)))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (*.f64 (+.f64 x (/.f64 (*.f64 x x) t)) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) t) (-.f64 (/.f64 (*.f64 x x) t) x))) t)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x x) t) (/.f64 t (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 x (/.f64 (*.f64 x x) t)) t)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (*.f64 x x) t)))) (neg.f64 (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) t) (-.f64 (/.f64 (*.f64 x x) t) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x x) t) (/.f64 t (*.f64 x x)))) (/.f64 #s(literal 1 binary64) t)) (-.f64 x (/.f64 (*.f64 x x) t))) |
(pow.f64 (/.f64 t (+.f64 x (/.f64 (*.f64 x x) t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (+.f64 x (/.f64 (*.f64 x x) t))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) |
(*.f64 (+.f64 x (/.f64 (*.f64 x x) t)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (*.f64 x x) t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x (/.f64 (*.f64 x x) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 x x) t))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 x x) t))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (pow.f64 (/.f64 t (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 t (*.f64 t t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) t) (-.f64 (/.f64 (*.f64 x x) t) x))))) |
(*.f64 (pow.f64 (/.f64 t (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x x) t) (/.f64 t (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 x x) t)))) |
(+.f64 (*.f64 y (*.f64 t t)) (*.f64 x (*.f64 (+.f64 x t) y))) |
(+.f64 (*.f64 x (*.f64 (+.f64 x t) y)) (*.f64 y (*.f64 t t))) |
(fma.f64 x (*.f64 (+.f64 x t) y) (*.f64 y (*.f64 t t))) |
(fma.f64 t (*.f64 t y) (*.f64 x (*.f64 (+.f64 x t) y))) |
(fma.f64 y (*.f64 t t) (*.f64 x (*.f64 (+.f64 x t) y))) |
(fma.f64 y (*.f64 x (+.f64 x t)) (*.f64 y (*.f64 t t))) |
(fma.f64 (*.f64 t t) y (*.f64 x (*.f64 (+.f64 x t) y))) |
(fma.f64 (+.f64 x t) (*.f64 x y) (*.f64 y (*.f64 t t))) |
(fma.f64 (*.f64 x (+.f64 x t)) y (*.f64 y (*.f64 t t))) |
(fma.f64 (*.f64 y t) t (*.f64 x (*.f64 (+.f64 x t) y))) |
(fma.f64 (*.f64 y x) (+.f64 x t) (*.f64 y (*.f64 t t))) |
(fma.f64 (*.f64 y (+.f64 x t)) x (*.f64 y (*.f64 t t))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x t) (+.f64 x t)) (+.f64 x t))) (*.f64 (*.f64 y y) y))) (+.f64 (*.f64 (*.f64 y (*.f64 t t)) (*.f64 y (*.f64 t t))) (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x t) y)) (*.f64 x (*.f64 (+.f64 x t) y))) (*.f64 (*.f64 y (*.f64 t t)) (*.f64 x (*.f64 (+.f64 x t) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 t t)) (*.f64 y (*.f64 t t))) (*.f64 (*.f64 x (*.f64 (+.f64 x t) y)) (*.f64 x (*.f64 (+.f64 x t) y)))) (-.f64 (*.f64 y (*.f64 t t)) (*.f64 x (*.f64 (+.f64 x t) y)))) |
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x t) (+.f64 x t)) (+.f64 x t))))) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 x (+.f64 x t))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x t) (+.f64 x t)) (+.f64 x t)))) y) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t))))) |
(/.f64 (*.f64 (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 x (+.f64 x t)))) y) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) |
(*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) y) |
| 1× | egg-herbie |
| 4800× | *-lowering-*.f32 |
| 4800× | *-lowering-*.f64 |
| 3930× | +-lowering-+.f64 |
| 3930× | +-lowering-+.f32 |
| 1484× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1137 | 13430 |
| 1 | 4105 | 10940 |
| 0 | 9780 | 10940 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))))) |
(+ (* t z) (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))))) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ 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)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)) 1))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* t z) |
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t)))) |
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t)))) |
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t)))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t))))) |
(+ x (* t z)) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* z (- t x)))) |
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(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (pow t 3) (pow x 3)) (+ (* x (+ t x)) (pow t 2))))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (pow t 3) (pow x 3)) (+ (* x (+ t x)) (pow t 2))))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t (- (* -1 (* t (+ (* -1 (/ z x)) (/ z x)))) (* -1 z))))) |
(+ x (+ (* -1 (* x z)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z x)) (/ z x))) x) (+ (* -1 (/ z x)) (/ z x)))) (* -1 z))))) |
(* t z) |
(* t (- (+ z (/ x t)) (/ (* x z) t))) |
(* t (- (+ z (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) (pow t 2))) (/ x t))) (/ (* x z) t))) |
(* t (- (+ z (+ (/ x t) (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) (pow t 3)))) (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (+ (/ (* x z) t) (/ (* (pow x 2) z) (pow t 2)))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) t)))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) t)) (* (pow x 2) z))) t)))) t))))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t (- (* -1 (* t (+ (* -1 (/ z x)) (/ z x)))) (* -1 z)))) |
(+ (* -1 (* x z)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z x)) (/ z x))) x) (+ (* -1 (/ z x)) (/ z x)))) (* -1 z)))) |
(* t z) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* t (- (+ z (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) (pow t 2)))) (/ (* x z) t))) |
(* t (- (+ z (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) (pow t 3))) (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (+ (/ (* x z) t) (/ (* (pow x 2) z) (pow t 2)))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) t))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z))) t)) (* (pow x 2) z))) t))) t))))) |
(* t z) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* t z) (* x (- (* -1 (* x (+ (* -1 (/ z t)) (/ z t)))) z))) |
(+ (* t z) (* x (- (* x (- (/ (* x (+ (* -1 (/ z t)) (/ z t))) t) (+ (* -1 (/ z t)) (/ z t)))) z))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* x (- (+ (* -1 z) (* -1 (/ (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z)) (pow x 2)))) (* -1 (/ (* t z) x)))) |
(* x (- (+ (* -1 z) (/ (* t (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) (pow x 3))) (+ (* -1 (/ (* t z) x)) (+ (* -1 (/ (* (pow t 2) z) (pow x 2))) (/ (* (pow t 2) z) (pow x 2)))))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (- (+ (* -1 (/ (* (pow t 2) z) x)) (/ (* (pow t 2) z) x)) (* -1 (* t z))) x))))) |
(* -1 (* x (+ z (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) x) (+ (* -1 (* (pow t 2) z)) (* (pow t 2) z))) x)) (* -1 (* t z))) x))))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (+ (* x (+ t x)) (pow t 2))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(* -1 (/ (* x z) y)) |
(+ (* -1 (/ (* x z) y)) (/ (* t z) y)) |
(+ (* -1 (/ (* x z) y)) (* t (- (* -1 (* t (+ (* -1 (/ z (* x y))) (/ z (* x y))))) (* -1 (/ z y))))) |
(+ (* -1 (/ (* x z) y)) (* t (- (* t (- (/ (* t (+ (* -1 (/ z (* x y))) (/ z (* x y)))) x) (+ (* -1 (/ z (* x y))) (/ z (* x y))))) (* -1 (/ z y))))) |
(/ (* t z) y) |
(* t (+ (* -1 (/ (* x z) (* t y))) (/ z y))) |
(* t (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y)) (pow t 2))) (/ z y)) (/ (* x z) (* t y)))) |
(* t (- (+ (/ z y) (/ (* x (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y))) (pow t 3))) (+ (* -1 (/ (* (pow x 2) z) (* (pow t 2) y))) (+ (/ (* x z) (* t y)) (/ (* (pow x 2) z) (* (pow t 2) y)))))) |
(/ (* t z) y) |
(* -1 (* t (+ (* -1 (/ z y)) (/ (* x z) (* t y))))) |
(* -1 (* t (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* x z) y)) (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y)) t))) t))))) |
(* -1 (* t (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* x z) y)) (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y))) t)) (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* (pow x 2) z) y))) t))) t))))) |
(/ (* t z) y) |
(+ (* -1 (/ (* x z) y)) (/ (* t z) y)) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ z (* t y))) (/ z (* t y))))) (/ z y))) (/ (* t z) y)) |
(+ (* x (- (* x (- (/ (* x (+ (* -1 (/ z (* t y))) (/ z (* t y)))) t) (+ (* -1 (/ z (* t y))) (/ z (* t y))))) (/ z y))) (/ (* t z) y)) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z y)) (/ (* t z) (* x y)))) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y)) (pow x 2)))) (* -1 (/ (* t z) (* x y))))) |
(* x (- (+ (* -1 (/ z y)) (/ (* t (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y))) (pow x 3))) (+ (* -1 (/ (* t z) (* x y))) (+ (* -1 (/ (* (pow t 2) z) (* (pow x 2) y))) (/ (* (pow t 2) z) (* (pow x 2) y)))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (* (pow t 2) z) (* x y))) (/ (* (pow t 2) z) (* x y))) (* -1 (/ (* t z) y))) x)) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y))) x) (+ (* -1 (/ (* (pow t 2) z) y)) (/ (* (pow t 2) z) y))) x)) (* -1 (/ (* t z) y))) x)) (/ z y)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(/ (* z (- (pow t 3) (pow x 3))) (* y (+ (* x (+ t x)) (pow t 2)))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* z (- (pow t 3) (pow x 3))) |
(* -1 (* (pow x 3) z)) |
(+ (* -1 (* (pow x 3) z)) (* (pow t 3) z)) |
(+ (* -1 (* (pow x 3) z)) (* (pow t 3) z)) |
(+ (* -1 (* (pow x 3) z)) (* (pow t 3) z)) |
(* (pow t 3) z) |
(* (pow t 3) (+ z (* -1 (/ (* (pow x 3) z) (pow t 3))))) |
(* (pow t 3) (+ z (* -1 (/ (* (pow x 3) z) (pow t 3))))) |
(* (pow t 3) (+ z (* -1 (/ (* (pow x 3) z) (pow t 3))))) |
(* (pow t 3) z) |
(* -1 (* (pow t 3) (+ (* -1 z) (/ (* (pow x 3) z) (pow t 3))))) |
(* -1 (* (pow t 3) (+ (* -1 z) (/ (* (pow x 3) z) (pow t 3))))) |
(* -1 (* (pow t 3) (+ (* -1 z) (/ (* (pow x 3) z) (pow t 3))))) |
(* (pow t 3) z) |
(+ (* -1 (* (pow x 3) z)) (* (pow t 3) z)) |
(+ (* -1 (* (pow x 3) z)) (* (pow t 3) z)) |
(+ (* -1 (* (pow x 3) z)) (* (pow t 3) z)) |
(* -1 (* (pow x 3) z)) |
(* (pow x 3) (+ (* -1 z) (/ (* (pow t 3) z) (pow x 3)))) |
(* (pow x 3) (+ (* -1 z) (/ (* (pow t 3) z) (pow x 3)))) |
(* (pow x 3) (+ (* -1 z) (/ (* (pow t 3) z) (pow x 3)))) |
(* -1 (* (pow x 3) z)) |
(* -1 (* (pow x 3) (+ z (* -1 (/ (* (pow t 3) z) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ z (* -1 (/ (* (pow t 3) z) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ z (* -1 (/ (* (pow t 3) z) (pow x 3)))))) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* 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))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) 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) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) 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)) |
(* -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)) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ (pow x 2) t) |
(/ x t) |
(* x (+ (/ 1 t) (/ x (pow t 2)))) |
(* x (+ (/ 1 t) (/ x (pow t 2)))) |
(* x (+ (/ 1 t) (/ x (pow t 2)))) |
(/ (pow x 2) (pow t 2)) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(/ (pow x 2) (pow t 2)) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(/ (pow x 2) (pow t 2)) |
(/ (+ (* t x) (pow x 2)) (pow t 2)) |
(/ (+ (* t x) (pow x 2)) (pow t 2)) |
(/ (+ (* t x) (pow x 2)) (pow t 2)) |
(/ x t) |
(/ (+ x (/ (pow x 2) t)) t) |
(/ (+ x (/ (pow x 2) t)) t) |
(/ (+ x (/ (pow x 2) t)) t) |
(/ x t) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* (pow x 2) y) |
(+ (* t (* x y)) (* (pow x 2) y)) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(* (pow t 2) y) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(* (pow t 2) y) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(* (pow t 2) y) |
(+ (* t (* x y)) (* (pow t 2) y)) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
| Outputs |
|---|
(* t z) |
(*.f64 t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+ (* t z) (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))))) |
(+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) |
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(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(/ (- (+ x (+ (* 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 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (+.f64 x (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 y y))) (*.f64 #s(literal -1/2 binary64) (/.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 x (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64))) (*.f64 x (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y y)))) (/.f64 #s(literal 0 binary64) y)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 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 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) y) x)) 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 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 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 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 0 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 y)) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ (pow x 2) t) |
(/.f64 (*.f64 x x) t) |
(/ x t) |
(/.f64 x t) |
(* x (+ (/ 1 t) (/ x (pow t 2)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t t)))) |
(* x (+ (/ 1 t) (/ x (pow t 2)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t t)))) |
(* x (+ (/ 1 t) (/ x (pow t 2)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t t)))) |
(/ (pow x 2) (pow t 2)) |
(/.f64 (*.f64 x x) (*.f64 t t)) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t x)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t x)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t x)))) |
(/ (pow x 2) (pow t 2)) |
(/.f64 (*.f64 x x) (*.f64 t t)) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t x)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t x)))) |
(* (pow x 2) (+ (/ 1 (* t x)) (/ 1 (pow t 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 t x)))) |
(/ (pow x 2) (pow t 2)) |
(/.f64 (*.f64 x x) (*.f64 t t)) |
(/ (+ (* t x) (pow x 2)) (pow t 2)) |
(/.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) |
(/ (+ (* t x) (pow x 2)) (pow t 2)) |
(/.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) |
(/ (+ (* t x) (pow x 2)) (pow t 2)) |
(/.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) |
(/ x t) |
(/.f64 x t) |
(/ (+ x (/ (pow x 2) t)) t) |
(/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
(/ (+ x (/ (pow x 2) t)) t) |
(/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
(/ (+ x (/ (pow x 2) t)) t) |
(/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
(/ x t) |
(/.f64 x t) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)) |
(/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)) |
(/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)) |
(/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(+ (* t (* x y)) (* (pow x 2) y)) |
(+.f64 (*.f64 (*.f64 x x) y) (*.f64 t (*.f64 x y))) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(+.f64 (*.f64 (*.f64 x x) y) (*.f64 t (*.f64 y (+.f64 t x)))) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(+.f64 (*.f64 (*.f64 x x) y) (*.f64 t (*.f64 y (+.f64 t x)))) |
(* (pow t 2) y) |
(*.f64 y (*.f64 t t)) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(*.f64 (*.f64 t t) (+.f64 y (/.f64 (*.f64 x y) t))) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (+.f64 y (/.f64 (*.f64 x y) t)) (/.f64 (*.f64 (*.f64 x x) y) (*.f64 t t)))) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (+.f64 y (/.f64 (*.f64 x y) t)) (/.f64 (*.f64 (*.f64 x x) y) (*.f64 t t)))) |
(* (pow t 2) y) |
(*.f64 y (*.f64 t t)) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(*.f64 (*.f64 t t) (+.f64 y (/.f64 (*.f64 x y) t))) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 y (/.f64 (-.f64 (*.f64 x (neg.f64 y)) (/.f64 (*.f64 (*.f64 x x) y) t)) t))) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 y (/.f64 (-.f64 (*.f64 x (neg.f64 y)) (/.f64 (*.f64 (*.f64 x x) y) t)) t))) |
(* (pow t 2) y) |
(*.f64 y (*.f64 t t)) |
(+ (* t (* x y)) (* (pow t 2) y)) |
(+.f64 (*.f64 y (*.f64 t t)) (*.f64 t (*.f64 x y))) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(+.f64 (*.f64 y (*.f64 t t)) (*.f64 x (*.f64 y (+.f64 t x)))) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(+.f64 (*.f64 y (*.f64 t t)) (*.f64 x (*.f64 y (+.f64 t x)))) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(*.f64 (*.f64 x x) (+.f64 y (*.f64 t (/.f64 y x)))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 y (+.f64 (*.f64 t (/.f64 y x)) (/.f64 (*.f64 y (*.f64 t t)) (*.f64 x x))))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 y (+.f64 (*.f64 t (/.f64 y x)) (/.f64 (*.f64 y (*.f64 t t)) (*.f64 x x))))) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(*.f64 (*.f64 x x) (+.f64 y (*.f64 t (/.f64 y x)))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 y (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 t y)) (/.f64 (*.f64 y (*.f64 t t)) x)) x))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 y (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 t y)) (/.f64 (*.f64 y (*.f64 t t)) x)) x))) |
Compiled 30935 to 2989 computations (90.3% saved)
42 alts after pruning (35 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1186 | 14 | 1200 |
| Fresh | 3 | 21 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1192 | 42 | 1234 |
| Status | Accuracy | Program |
|---|---|---|
| 24.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)) | |
| 24.4% | (/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) | |
| 17.2% | (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)))) | |
| 6.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) | |
| 14.4% | (-.f64 #s(literal 0 binary64) (*.f64 z x)) | |
| 60.7% | (+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) | |
| 27.6% | (+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) | |
| 56.0% | (+.f64 (*.f64 t z) x) | |
| 55.9% | (+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) | |
| 45.2% | (+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) | |
| 52.0% | (+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) | |
| 51.6% | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) | |
| 53.7% | (+.f64 x (+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))) | |
| 10.4% | (+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 t t))) y)) | |
| 17.5% | (+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) y) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) | |
| 49.5% | (+.f64 x (*.f64 (/.f64 (*.f64 z x) (neg.f64 y)) y)) | |
| 14.1% | (+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) | |
| ✓ | 44.0% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
| 43.6% | (+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) | |
| 51.2% | (+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) | |
| 30.0% | (+.f64 x (*.f64 (+.f64 t (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z)) | |
| ✓ | 64.8% | (+.f64 x (*.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
| ✓ | 95.6% | (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)) |
| 46.6% | (+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) | |
| 21.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) | |
| 39.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) | |
| ✓ | 57.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| 39.6% | (+.f64 x (*.f64 (*.f64 t (-.f64 (/.f64 z y) (/.f64 (*.f64 x (/.f64 z t)) y))) y)) | |
| 13.5% | (+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) | |
| 10.9% | (+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) | |
| 50.9% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) t)))) | |
| 16.9% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) | |
| 51.6% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) | |
| 33.8% | (+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x x)))))))) | |
| 35.3% | (+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) | |
| 42.4% | (+.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))) | |
| 24.5% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) | |
| 24.4% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 24.8% | (*.f64 z (-.f64 t x)) | |
| ✓ | 14.8% | (*.f64 z t) |
| ✓ | 51.7% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 62.3% | x |
Compiled 2067 to 769 computations (62.8% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) |
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z x) (neg.f64 y)) y)) |
(+.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
(+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) |
(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) |
(+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) |
(+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) t)))) |
(+.f64 x (*.f64 (*.f64 t (-.f64 (/.f64 z y) (/.f64 (*.f64 x (/.f64 z t)) y))) y)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) |
(+.f64 x (*.f64 (+.f64 t (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 t t))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) y) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x x)))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) |
(+.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 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
(+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) |
(+.f64 x (+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 (-.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)))))) z) 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 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) |
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
5 calls:
| 20.0ms | t |
| 19.0ms | z |
| 19.0ms | y |
| 18.0ms | x |
| 16.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | x |
| 99.3% | 2 | y |
| 96.3% | 1 | z |
| 96.3% | 1 | t |
| 96.3% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) |
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z x) (neg.f64 y)) y)) |
(+.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
(+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) |
(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) |
(+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) |
(+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) t)))) |
(+.f64 x (*.f64 (*.f64 t (-.f64 (/.f64 z y) (/.f64 (*.f64 x (/.f64 z t)) y))) y)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) |
(+.f64 x (*.f64 (+.f64 t (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 t t))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) y) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x x)))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) |
(+.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 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
(+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) |
(+.f64 x (+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 (-.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)))))) z) 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)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
1 calls:
| 31.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) |
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z x) (neg.f64 y)) y)) |
(+.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
(+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) |
(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) |
(+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) |
(+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) t)))) |
(+.f64 x (*.f64 (*.f64 t (-.f64 (/.f64 z y) (/.f64 (*.f64 x (/.f64 z t)) y))) y)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) |
(+.f64 x (*.f64 (+.f64 t (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 t t))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) y) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x x)))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) |
(+.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 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
(+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) |
(+.f64 x (+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 (-.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)))))) z) 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 x (*.f64 z (-.f64 t x))) |
5 calls:
| 18.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 17.0ms | x |
| 17.0ms | y |
| 17.0ms | z |
| 17.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 1 | x |
| 91.3% | 1 | z |
| 91.3% | 1 | t |
| 97.7% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 97.7% | 2 | y |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) |
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z x) (neg.f64 y)) y)) |
(+.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
(+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) |
(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) |
(+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) |
(+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) t)))) |
(+.f64 x (*.f64 (*.f64 t (-.f64 (/.f64 z y) (/.f64 (*.f64 x (/.f64 z t)) y))) y)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) |
(+.f64 x (*.f64 (+.f64 t (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 t t))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) y) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x x)))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) |
(+.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 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
(+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) |
(+.f64 x (+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 (-.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)))))) z) y)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) |
(+.f64 x (*.f64 z (-.f64 t x))) |
4 calls:
| 32.0ms | x |
| 19.0ms | z |
| 18.0ms | y |
| 16.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 3 | x |
| 70.7% | 2 | z |
| 76.7% | 3 | t |
| 84.8% | 3 | y |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) |
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z x) (neg.f64 y)) y)) |
(+.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
(+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) |
(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) |
(+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) |
(+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) t)))) |
(+.f64 x (*.f64 (*.f64 t (-.f64 (/.f64 z y) (/.f64 (*.f64 x (/.f64 z t)) y))) y)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) |
(+.f64 x (*.f64 (+.f64 t (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 t t))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) y) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x x)))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) |
(+.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 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
1 calls:
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 3 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 (/.f64 z y) (*.f64 y t))) |
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z x) (neg.f64 y)) y)) |
(+.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) y) y)) |
(+.f64 x (/.f64 y (/.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))) |
(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y z)))) |
(+.f64 x (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 t x))) y))) |
(+.f64 x (*.f64 z (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) t)))) |
(+.f64 x (*.f64 (*.f64 t (-.f64 (/.f64 z y) (/.f64 (*.f64 x (/.f64 z t)) y))) y)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (*.f64 x x) t)) t)) t)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (+.f64 x t))))) |
(+.f64 x (*.f64 (+.f64 t (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z)) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 t z) (*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x x))) (*.f64 y y))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 t t))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) y)) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) y) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (/.f64 (*.f64 z (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x x)))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))))) |
(+.f64 x (*.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))))) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 z (-.f64 t x))) |
1 calls:
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 z t)) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
3 calls:
| 3.0ms | y |
| 3.0ms | t |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 4 | t |
| 69.2% | 4 | x |
| 72.7% | 3 | y |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 t x)) |
| Outputs |
|---|
x |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
2 calls:
| 4.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 2 | z |
| 70.6% | 2 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
| Outputs |
|---|
x |
(*.f64 z t) |
x |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | t |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 1 | t |
| 62.3% | 1 | z |
| 65.6% | 3 | x |
| 62.3% | 1 | y |
Compiled 20 to 16 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.992527432973893e+203 | 2.1824738292107806e+204 |
| 7.0ms | 80× | 0 | valid |
Compiled 186 to 123 computations (33.9% saved)
ival-div: 1.0ms (24.3% of total)ival-mult: 1.0ms (24.3% of total)ival-tanh: 1.0ms (24.3% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.1681681874553748e+183 | 1.8647920226141318e+183 |
| 6.0ms | 64× | 0 | valid |
Compiled 154 to 102 computations (33.8% saved)
ival-div: 1.0ms (29.2% of total)ival-mult: 1.0ms (29.2% of total)ival-tanh: 1.0ms (29.2% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.1681681874553748e+183 | 1.8647920226141318e+183 |
| 6.0ms | 64× | 0 | valid |
Compiled 154 to 102 computations (33.8% saved)
ival-div: 1.0ms (30.4% of total)ival-mult: 1.0ms (30.4% of total)ival-tanh: 1.0ms (30.4% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.1681681874553748e+183 | 1.8647920226141318e+183 |
| 20.0ms | 9.239971639936638e-34 | 3.0835546528200037e-31 |
| 20.0ms | 182× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
Compiled 350 to 234 computations (33.1% saved)
ival-mult: 6.0ms (44% of total)ival-div: 3.0ms (22% of total)ival-tanh: 2.0ms (14.7% of total)ival-add: 1.0ms (7.3% of total)ival-sub: 1.0ms (7.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.1681681874553748e+183 | 1.8647920226141318e+183 |
| 17.0ms | 9.239971639936638e-34 | 3.0835546528200037e-31 |
| 17.0ms | 186× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 350 to 234 computations (33.1% saved)
ival-div: 3.0ms (29.4% of total)ival-mult: 3.0ms (29.4% of total)ival-tanh: 2.0ms (19.6% of total)ival-add: 1.0ms (9.8% of total)ival-sub: 1.0ms (9.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.2123419944879045e+34 | 9.631609746565056e+34 |
| 8.0ms | 89× | 0 | valid |
| 2.0ms | 7× | 1 | valid |
Compiled 134 to 96 computations (28.4% saved)
ival-mult: 2.0ms (36.2% of total)ival-div: 1.0ms (18.1% of total)ival-tanh: 1.0ms (18.1% of total)ival-add: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 5.1630495037478085e+222 | 5.835515362938299e+227 |
| 13.0ms | 7.427514159198923e+86 | 5.099286538280066e+87 |
| 24.0ms | 239× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 302 to 225 computations (25.5% saved)
ival-div: 4.0ms (32.6% of total)ival-mult: 4.0ms (32.6% of total)ival-tanh: 2.0ms (16.3% of total)ival-add: 1.0ms (8.2% of total)ival-sub: 1.0ms (8.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.2123419944879045e+34 | 9.631609746565056e+34 |
| 10.0ms | 90× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 122 to 96 computations (21.3% saved)
ival-mult: 2.0ms (37.4% of total)ival-div: 1.0ms (18.7% of total)ival-tanh: 1.0ms (18.7% of total)ival-add: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 9.71790388643362e-244 | 4.1779815045173605e-236 |
| 12.0ms | -2.1350252865112457e-173 | -5.40786233022424e-174 |
| 23.0ms | 219× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 222 to 172 computations (22.5% saved)
ival-div: 3.0ms (22.6% of total)ival-mult: 3.0ms (22.6% of total)ival-add: 2.0ms (15.1% of total)ival-tanh: 2.0ms (15.1% of total)ival-sub: 1.0ms (7.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 32× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 193 |
| 1 | 104 | 193 |
| 2 | 120 | 193 |
| 3 | 130 | 193 |
| 4 | 136 | 193 |
| 5 | 137 | 193 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 1899999999999999909043985968140962345926049327516280615608137086079027724867333387841115843892387946751024993248424271471486165227137643265682135411880666570495518047464404578397736340687452086500769923072 binary64)) (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 1499999999999999978860472315184426137264580630270934705393751229477273753118857415668317575145966107833220580031591277031996202215014182641704803744692100169310048910994705948000387072 binary64)) (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 1260000000000000057722045241185745000133339349192962970869175441089718520143966234073870010965588572302439790779712023536244310475888811414443727744037216793449126113889473869308231680 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 2454866031454251/11417981541647679048466287755595961091061972992 binary64)) x (if (<=.f64 y #s(literal 1549999999999999923118869363709762288317395678534377869701775139386759964403144117608575792765327551838313190525120626286648939756875250608107271349778610950099467707967712176380051456 binary64)) (+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) (+.f64 x (*.f64 z (-.f64 t x))))) |
(if (<=.f64 y #s(literal 6942132777321789/730750818665451459101842416358141509827966271488 binary64)) x (if (<=.f64 y #s(literal 1200000000000000077437438472686074715850529028923470037238031493992829711900243438675258119920494188419744593466742210162306337541107468607628458743873495949483895414613165849635192832 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 45999999999999996343539120797122560 binary64)) x (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 749999999999999969562543342262772048618997067236338579752304257355027942213215819137024 binary64)) x (if (<=.f64 y #s(literal 24500000000000000178584625841388308582481630624986173738907074903737905236236249763959294368483484262107055520304931020197043750140005115356359121359797084278312673377112861336337789731359163728708268796607806525982824726528 binary64)) (+.f64 x (*.f64 z t)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 y #s(literal 18000000000000000173275662373617664 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(if (<=.f64 x #s(literal -6683262623470013/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) x (if (<=.f64 x #s(literal 3096850691881939/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (*.f64 z t) x)) |
x |
| Outputs |
|---|
(if (<=.f64 y #s(literal 1899999999999999909043985968140962345926049327516280615608137086079027724867333387841115843892387946751024993248424271471486165227137643265682135411880666570495518047464404578397736340687452086500769923072 binary64)) (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 1899999999999999909043985968140962345926049327516280615608137086079027724867333387841115843892387946751024993248424271471486165227137643265682135411880666570495518047464404578397736340687452086500769923072 binary64)) (+.f64 x (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 1499999999999999978860472315184426137264580630270934705393751229477273753118857415668317575145966107833220580031591277031996202215014182641704803744692100169310048910994705948000387072 binary64)) (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 1499999999999999978860472315184426137264580630270934705393751229477273753118857415668317575145966107833220580031591277031996202215014182641704803744692100169310048910994705948000387072 binary64)) (+.f64 x (*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z))) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 1260000000000000057722045241185745000133339349192962970869175441089718520143966234073870010965588572302439790779712023536244310475888811414443727744037216793449126113889473869308231680 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 1260000000000000057722045241185745000133339349192962970869175441089718520143966234073870010965588572302439790779712023536244310475888811414443727744037216793449126113889473869308231680 binary64)) (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 2454866031454251/11417981541647679048466287755595961091061972992 binary64)) x (if (<=.f64 y #s(literal 1549999999999999923118869363709762288317395678534377869701775139386759964403144117608575792765327551838313190525120626286648939756875250608107271349778610950099467707967712176380051456 binary64)) (+.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) x) (+.f64 x (*.f64 z (-.f64 t x))))) |
(if (<=.f64 y #s(literal 2454866031454251/11417981541647679048466287755595961091061972992 binary64)) x (if (<=.f64 y #s(literal 1549999999999999923118869363709762288317395678534377869701775139386759964403144117608575792765327551838313190525120626286648939756875250608107271349778610950099467707967712176380051456 binary64)) (+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) (+.f64 x (*.f64 z (-.f64 t x))))) |
(if (<=.f64 y #s(literal 6942132777321789/730750818665451459101842416358141509827966271488 binary64)) x (if (<=.f64 y #s(literal 1200000000000000077437438472686074715850529028923470037238031493992829711900243438675258119920494188419744593466742210162306337541107468607628458743873495949483895414613165849635192832 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 45999999999999996343539120797122560 binary64)) x (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 749999999999999969562543342262772048618997067236338579752304257355027942213215819137024 binary64)) x (if (<=.f64 y #s(literal 24500000000000000178584625841388308582481630624986173738907074903737905236236249763959294368483484262107055520304931020197043750140005115356359121359797084278312673377112861336337789731359163728708268796607806525982824726528 binary64)) (+.f64 x (*.f64 z t)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 y #s(literal 749999999999999969562543342262772048618997067236338579752304257355027942213215819137024 binary64)) x (if (<=.f64 y #s(literal 24500000000000000178584625841388308582481630624986173738907074903737905236236249763959294368483484262107055520304931020197043750140005115356359121359797084278312673377112861336337789731359163728708268796607806525982824726528 binary64)) (+.f64 x (*.f64 t z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 y #s(literal 18000000000000000173275662373617664 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(if (<=.f64 x #s(literal -6683262623470013/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) x (if (<=.f64 x #s(literal 3096850691881939/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (*.f64 z t) x)) |
(if (<=.f64 x #s(literal -6683262623470013/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) x (if (<=.f64 x #s(literal 3096850691881939/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (*.f64 t z) x)) |
x |
| 5944× | +-lowering-+.f64 |
| 5944× | +-lowering-+.f32 |
| 4676× | *-lowering-*.f32 |
| 4676× | *-lowering-*.f64 |
| 3988× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 133 |
| 1 | 171 | 129 |
| 2 | 1951 | 129 |
| 0 | 9645 | 129 |
| 0 | 745 | 17770 |
| 1 | 2714 | 14129 |
| 0 | 9070 | 14129 |
| 0 | 495 | 9897 |
| 1 | 1835 | 6884 |
| 0 | 8974 | 6884 |
| 0 | 12 | 48 |
| 1 | 91 | 47 |
| 2 | 896 | 47 |
| 0 | 8317 | 47 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 468 to 251 computations (46.4% saved)
Compiled 530 to 226 computations (57.4% saved)
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