
Time bar (total: 12.4s)
| 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 17 to 14 computations (17.6% saved)
| 785.0ms | 8 028× | 0 | valid |
| 47.0ms | 228× | 1 | valid |
ival-mult: 188.0ms (31.2% of total)ival-div: 185.0ms (30.7% of total)ival-tanh: 135.0ms (22.4% of total)ival-sub: 43.0ms (7.1% of total)ival-add: 40.0ms (6.6% of total)ival-true: 6.0ms (1% of total)adjust: 3.0ms (0.5% of total)ival-assert: 3.0ms (0.5% of total)| 2× | egg-herbie |
| 12 492× | accelerator-lowering-fma.f32 |
| 12 492× | accelerator-lowering-fma.f64 |
| 3 782× | *-lowering-*.f32 |
| 3 782× | *-lowering-*.f64 |
| 2 164× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 238 |
| 1 | 406 | 236 |
| 2 | 1196 | 225 |
| 3 | 4706 | 225 |
| 0 | 12 | 15 |
| 1 | 54 | 15 |
| 2 | 157 | 15 |
| 3 | 419 | 15 |
| 4 | 1653 | 15 |
| 5 | 6375 | 15 |
| 0 | 8390 | 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))))) |
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))) |
(- (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))) x) |
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))) |
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))) |
(+ x (* (* y z) (- (tanh (/ x y)) (tanh (/ t y))))) |
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))) |
(- x (* y (* z (+ (tanh (/ t y)) (tanh (/ x y)))))) |
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))) |
(- x (* y (* z (+ (tanh (/ t y)) (tanh (/ x y)))))) |
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))) |
(- (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))) x) |
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))) |
(- (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x) |
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))) |
(- (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))) x) |
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x))))) |
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y))))) |
(+ z (* (* x y) (- (tanh (/ t y)) (tanh (/ z y))))) |
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y))))) |
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z))))) |
(+ x (* (* y z) (- (tanh (/ t z)) (tanh (/ x z))))) |
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t))))) |
(+ x (* (* z t) (- (tanh (/ y t)) (tanh (/ x t))))) |
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y))))) |
(+ x (* y (* t (- (tanh (/ z y)) (tanh (/ x y)))))) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 16 | 0 | - | 0 | - | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 t y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 x y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 t y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*o | 7 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 3 | 0 |
| ↳ | (*.f64 y z) | overflow | 24 | |
| ↳ | (/.f64 t y) | underflow | 31 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 51 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 21 | |
| ↳ | (/.f64 x y) | underflow | 21 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 31 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 13 | 1 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 13 | 0 | 1 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 426× | 0 | valid |
| 17.0ms | 74× | 2 | valid |
| 2.0ms | 12× | 1 | valid |
Compiled 158 to 52 computations (67.1% saved)
ival-div: 10.0ms (28.6% of total)ival-mult: 8.0ms (22.9% of total)ival-tanh: 8.0ms (22.9% of total)ival-add: 4.0ms (11.4% of total)ival-sub: 3.0ms (8.6% of total)adjust: 2.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.7% | (+.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))))) |
| 12 492× | accelerator-lowering-fma.f32 |
| 12 492× | accelerator-lowering-fma.f64 |
| 3 782× | *-lowering-*.f32 |
| 3 782× | *-lowering-*.f64 |
| 2 164× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 1 | 54 | 58 |
| 2 | 157 | 58 |
| 3 | 419 | 58 |
| 4 | 1653 | 58 |
| 5 | 6375 | 58 |
| 0 | 8390 | 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% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 94.3% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 19.0ms | 213× | 0 | valid |
| 11.0ms | 37× | 2 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-tanh: 8.0ms (38.8% of total)ival-div: 5.0ms (24.2% of total)ival-mult: 4.0ms (19.4% of total)ival-sub: 1.0ms (4.8% of total)adjust: 1.0ms (4.8% of total)ival-add: 1.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))> |
#<alt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))> |
#<alt (* y z)> |
#<alt (- (tanh (/ t y)) (tanh (/ x y)))> |
#<alt (tanh (/ t y))> |
#<alt (tanh (/ x y))> |
| Outputs |
|---|
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<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)> |
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#<alt (* y z)> |
#<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))> |
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#<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 (/ t y)> |
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y)> |
#<alt (/ t y)> |
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<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))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 8.0ms | x | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 6.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 5.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 4.0ms | y | @ | inf | (- (tanh (/ t y)) (tanh (/ x y))) |
| 1× | batch-egg-rewrite |
| 5 094× | *-lowering-*.f32 |
| 5 094× | *-lowering-*.f64 |
| 4 102× | /-lowering-/.f32 |
| 4 102× | /-lowering-/.f64 |
| 2 936× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 91 | 48 |
| 2 | 863 | 48 |
| 0 | 8202 | 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 (/ t y)) |
(tanh (/ x 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) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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)))))) x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.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 #s(literal 1 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)))))) x) |
(fma.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 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.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)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.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))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.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)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.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))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.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)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 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))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.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)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (neg.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))) |
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (neg.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 y z)))) |
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
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(-.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #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)))))) |
(fma.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(fma.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (neg.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (+.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) |
(tanh.f64 (/.f64 x y)) |
| 1× | egg-herbie |
| 13 264× | accelerator-lowering-fma.f32 |
| 13 264× | accelerator-lowering-fma.f64 |
| 4 518× | *-lowering-*.f32 |
| 4 518× | *-lowering-*.f64 |
| 4 012× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 6942 | 7471 |
| 0 | 8224 | 7285 |
| 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 |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
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(* -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)) |
| 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 (*.f64 y z) (-.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))))) |
(+ (* 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 (*.f64 y z) (-.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 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 (*.f64 y z) (-.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 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 (*.f64 y z) (-.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 x (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) z) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 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 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) 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 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) 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 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) 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 #s(literal -1 binary64) (/.f64 (*.f64 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) (-.f64 #s(literal 0 binary64) x))) (-.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 #s(literal -1 binary64) (/.f64 (*.f64 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) (-.f64 #s(literal 0 binary64) x))) (-.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 #s(literal -1 binary64) (/.f64 (*.f64 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (*.f64 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z))) |
(+ 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 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z))) |
(+ 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 (+.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 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z))) |
(+ x (* z (- t x))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+.f64 x (*.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* 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))))) |
(+.f64 (+.f64 x (*.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* 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)))))) |
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(-.f64 x (*.f64 z (+.f64 x (-.f64 #s(literal 0 binary64) t)))) |
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x |
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(/ (- (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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))))) (-.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 y y)))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y)) y))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (neg.f64 y))) (neg.f64 y)) y))) y) |
Compiled 23 482 to 2 010 computations (91.4% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 508 | 8 | 516 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 509 | 8 | 517 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
| ▶ | 49.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ▶ | 62.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
| ▶ | 44.7% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y))))) |
| 69.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) | |
| 40.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y)))))))) | |
| 59.4% | (+.f64 x (*.f64 z (-.f64 t x))) | |
| ▶ | 58.3% | x |
Compiled 288 to 180 computations (37.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y))))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) |
| ✓ | cost-diff | 6656 | (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 t x) y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
| 10 996× | accelerator-lowering-fma.f32 |
| 10 996× | accelerator-lowering-fma.f64 |
| 5 074× | +-lowering-+.f64 |
| 5 074× | +-lowering-+.f32 |
| 4 122× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 224 |
| 1 | 97 | 224 |
| 2 | 259 | 224 |
| 3 | 740 | 224 |
| 4 | 2697 | 216 |
| 0 | 8523 | 212 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)) |
x |
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) |
(* z (- (tanh (/ t y)) (tanh (/ x y)))) |
z |
(- (tanh (/ t y)) (tanh (/ x y))) |
(tanh (/ t y)) |
(/ t y) |
t |
y |
(tanh (/ x y)) |
(/ x y) |
x |
(+ x (* (* y z) (/ (- t x) y))) |
x |
(* (* y z) (/ (- t x) y)) |
(* y z) |
y |
z |
(/ (- t x) y) |
(- t x) |
t |
(+ x (* (* y z) (- (/ t y) (tanh (/ x y))))) |
x |
(* (* y z) (- (/ t y) (tanh (/ x y)))) |
(* y z) |
y |
z |
(- (/ t y) (tanh (/ x y))) |
(/ t y) |
t |
(tanh (/ x y)) |
(/ x y) |
(+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))) |
x |
(* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))) |
(* y z) |
y |
z |
(- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))) |
(* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) |
1 |
(/ (sinh (/ t y)) (cosh (/ t y))) |
(sinh (/ t y)) |
(/ t y) |
t |
(cosh (/ t y)) |
(tanh (/ x y)) |
(/ x y) |
| Outputs |
|---|
(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)) |
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) |
x |
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(* z (- (tanh (/ t y)) (tanh (/ x y)))) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
z |
(- (tanh (/ t y)) (tanh (/ x y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh (/ t y)) |
(tanh.f64 (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
t |
y |
(tanh (/ x y)) |
(tanh.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
x |
(+ x (* (* y z) (/ (- t x) y))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
x |
(* (* y z) (/ (- t x) y)) |
(*.f64 z (-.f64 t x)) |
(* y z) |
(*.f64 z y) |
y |
z |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(- t x) |
(-.f64 t x) |
t |
(+ x (* (* y z) (- (/ t y) (tanh (/ x y))))) |
(-.f64 (+.f64 x (*.f64 z t)) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z y))) |
x |
(* (* y z) (- (/ t y) (tanh (/ x y)))) |
(-.f64 (*.f64 z t) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z y))) |
(* y z) |
(*.f64 z y) |
y |
z |
(- (/ t y) (tanh (/ x y))) |
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) |
(/ t y) |
(/.f64 t y) |
t |
(tanh (/ x y)) |
(tanh.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))) |
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) |
x |
(* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
y |
z |
(- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) |
(tanh.f64 (/.f64 t y)) |
1 |
#s(literal 1 binary64) |
(/ (sinh (/ t y)) (cosh (/ t y))) |
(tanh.f64 (/.f64 t y)) |
(sinh (/ t y)) |
(sinh.f64 (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
t |
(cosh (/ t y)) |
(cosh.f64 (/.f64 t y)) |
(tanh (/ x y)) |
(tanh.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (sinh.f64 (/.f64 t y)) |
| ✓ | accuracy | 98.4% | (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))) |
| ✓ | accuracy | 94.7% | (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y)))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 94.7% | (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 91.1% | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 98.8% | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | accuracy | 94.4% | (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y) |
| 127.0ms | 87× | 4 | exit |
| 64.0ms | 32× | 5 | exit |
| 35.0ms | 131× | 0 | valid |
| 4.0ms | 6× | 3 | exit |
Compiled 259 to 30 computations (88.4% saved)
ival-mult: 42.0ms (25.6% of total)ival-tanh: 33.0ms (20.1% of total)ival-div: 25.0ms (15.2% of total)adjust: 19.0ms (11.6% of total)ival-cosh: 13.0ms (7.9% of total)ival-sub: 11.0ms (6.7% of total)ival-add: 11.0ms (6.7% of total)ival-sinh: 10.0ms (6.1% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))> |
#<alt (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)> |
#<alt (* z (- (tanh (/ t y)) (tanh (/ x y))))> |
#<alt (- (tanh (/ t y)) (tanh (/ x y)))> |
#<alt (* (* y z) (/ (- t x) y))> |
#<alt (+ x (* (* y z) (/ (- t x) y)))> |
#<alt (* y z)> |
#<alt (/ (- t x) y)> |
#<alt (+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))> |
#<alt (* (* y z) (- (/ t y) (tanh (/ x y))))> |
#<alt (- (/ t y) (tanh (/ x y)))> |
#<alt (/ (sinh (/ t y)) (cosh (/ t y)))> |
#<alt (* 1 (/ (sinh (/ t y)) (cosh (/ t y))))> |
#<alt (+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))))> |
#<alt (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))> |
#<alt (tanh (/ t y))> |
#<alt (tanh (/ x y))> |
#<alt (sinh (/ t y))> |
| Outputs |
|---|
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<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 (+ 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)))> |
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#<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)))> |
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#<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)))))))))> |
#<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 (/ 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)))))))))> |
#<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 (* z (- t x))> |
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#<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 (* 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))))> |
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#<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))))> |
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#<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 (+ 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 (* 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 (* 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)))))) (/ (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 (+ (* -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 (- (/ 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 (- (+ (/ 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 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (/ t y)> |
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (/ t y)> |
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))> |
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))> |
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))> |
#<alt (/ t 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)))))))) 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)))))))) 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)))))))) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- (+ t (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) x) y)> |
#<alt (/ (- (+ t (* 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))))) 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 (/ (pow x 3) (pow y 2)))))) (+ 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)))))) y)> |
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* 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 x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) y)) (* 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 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 x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (/ t y)> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
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#<alt (/ t y)> |
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<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 (+ (* 1/6 (/ (pow t 2) (pow y 3))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (+ (* 1/120 (/ (pow t 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (+ (* (pow t 2) (+ (* 1/5040 (/ (pow t 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)> |
#<alt (/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) y)> |
#<alt (/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) y)> |
#<alt (/ t y)> |
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | inf | (* (* y z) (- (/ t y) (tanh (/ x y)))) |
| 8.0ms | z | @ | inf | (+ x (* (* y z) (- (/ t y) (tanh (/ x y))))) |
| 3.0ms | z | @ | 0 | (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))) |
| 2.0ms | x | @ | -inf | (/ (- t x) y) |
| 1.0ms | t | @ | inf | (/ (sinh (/ t y)) (cosh (/ t y))) |
| 1× | batch-egg-rewrite |
| 3 944× | /-lowering-/.f32 |
| 3 944× | /-lowering-/.f64 |
| 3 634× | accelerator-lowering-fma.f32 |
| 3 634× | accelerator-lowering-fma.f64 |
| 3 464× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 173 |
| 1 | 205 | 173 |
| 2 | 2233 | 158 |
| 0 | 8692 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)) |
(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) |
(* z (- (tanh (/ t y)) (tanh (/ x y)))) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(* (* y z) (/ (- t x) y)) |
(+ x (* (* y z) (/ (- t x) y))) |
(* y z) |
(/ (- t x) y) |
(+ x (* (* y z) (- (/ t y) (tanh (/ x y))))) |
(* (* y z) (- (/ t y) (tanh (/ x y)))) |
(- (/ t y) (tanh (/ x y))) |
(/ (sinh (/ t y)) (cosh (/ t y))) |
(* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) |
(+ x (* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y))))) |
(* (* y z) (- (* 1 (/ (sinh (/ t y)) (cosh (/ t y)))) (tanh (/ x y)))) |
(tanh (/ t y)) |
(tanh (/ x y)) |
(sinh (/ t y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 z y)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 z y)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(+.f64 (*.f64 (*.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (*.f64 z y))) |
(fma.f64 (*.f64 z y) (tanh.f64 (/.f64 t y)) (*.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 z y)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))) |
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(/.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 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.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 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(*.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 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) |
(tanh.f64 (/.f64 x y)) |
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) #s(literal 2 binary64))) |
(neg.f64 (sinh.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))) |
(sinh.f64 (/.f64 t y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 (/.f64 t y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 t y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 15 528× | accelerator-lowering-fma.f32 |
| 15 528× | accelerator-lowering-fma.f64 |
| 5 684× | +-lowering-+.f64 |
| 5 684× | +-lowering-+.f32 |
| 5 648× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 792 | 27216 |
| 1 | 2662 | 20820 |
| 0 | 9449 | 20339 |
| 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 |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
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(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
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(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
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(/ (- (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)) |
(/ 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)) |
(/ t y) |
(* t (+ (* 1/6 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (+ (* 1/120 (/ (pow t 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (+ (* (pow t 2) (+ (* 1/5040 (/ (pow t 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* 1/2 (- (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)))) y) |
(/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) y) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
| 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)))))))))) |
(+.f64 (*.f64 (/.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))))) (*.f64 y z)) (*.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)))))))))) |
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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 (/ (* 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 (+.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)) (/.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))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) 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 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 (+.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)) (/.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))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))))) (*.f64 y z)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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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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(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y 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))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) 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 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.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 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)))) (-.f64 (/.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y)) (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal -1/2 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 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (neg.f64 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 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64)))) (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (neg.f64 y)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y))) y) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* 1/6 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 t t)) (*.f64 y (*.f64 y y))))) |
(* t (+ (* (pow t 2) (+ (* 1/120 (/ (pow t 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 t t)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))))) |
(* t (+ (* (pow t 2) (+ (* (pow t 2) (+ (* 1/5040 (/ (pow t 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 t (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 t t)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))))))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(* 1/2 (- (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y))))) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
(/.f64 (+.f64 t (/.f64 #s(literal 0 binary64) y)) y) |
(/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) y) |
(/.f64 (+.f64 (+.f64 t (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 y y))) y) |
(/ (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) y) |
(/.f64 (+.f64 t (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))) (*.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y))))) y) |
(/ t y) |
(/.f64 t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/3 binary64)))) y) #s(literal 0 binary64)) y))) y) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal -1/6 binary64) t)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))))) y)) (neg.f64 y)) y))) y) |
Compiled 52 514 to 4 011 computations (92.4% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 527 | 22 | 1 549 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 530 | 27 | 1 557 |
| Status | Accuracy | Program |
|---|---|---|
| 5.2% | (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) | |
| 29.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) | |
| 52.1% | (+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y))) | |
| 44.6% | (+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y)) | |
| 37.5% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) | |
| 52.5% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) | |
| 46.5% | (+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) | |
| 52.2% | (+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) | |
| ▶ | 72.3% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
| 42.7% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y)) | |
| ✓ | 97.6% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
| 44.6% | (+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) | |
| ▶ | 11.7% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))) |
| ▶ | 51.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| ✓ | 62.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
| 37.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (/.f64 x y)))) | |
| 69.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) | |
| 47.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) | |
| ▶ | 49.5% | (+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
| 59.4% | (+.f64 x (*.f64 z (-.f64 t x))) | |
| 55.4% | (+.f64 x (*.f64 z t)) | |
| 56.2% | (+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))) | |
| 25.0% | (*.f64 z (-.f64 t x)) | |
| 48.0% | (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) | |
| ▶ | 14.6% | (*.f64 z t) |
| 53.9% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) | |
| ✓ | 58.3% | x |
Compiled 1 032 to 571 computations (44.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))) |
| ✓ | cost-diff | 384 | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))) |
| ✓ | cost-diff | 512 | (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 y z) (/.f64 t y)) |
| ✓ | cost-diff | 0 | (*.f64 z t) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
| 11 408× | accelerator-lowering-fma.f32 |
| 11 408× | accelerator-lowering-fma.f64 |
| 4 900× | *-lowering-*.f32 |
| 4 900× | *-lowering-*.f64 |
| 2 824× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 359 |
| 1 | 134 | 353 |
| 2 | 398 | 311 |
| 3 | 1229 | 311 |
| 4 | 3594 | 309 |
| 5 | 7221 | 309 |
| 0 | 8372 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* z (- (tanh (/ t y)) (/ x y))) y)) |
x |
(* (* z (- (tanh (/ t y)) (/ x y))) y) |
(* z (- (tanh (/ t y)) (/ x y))) |
z |
(- (tanh (/ t y)) (/ x y)) |
(tanh (/ t y)) |
(/ t y) |
t |
y |
(/ x y) |
(* z t) |
z |
t |
(+ x (* (* y z) (/ t y))) |
x |
(* (* y z) (/ t y)) |
(* y z) |
y |
z |
(/ t y) |
t |
(+ x (* (* y z) (* (/ 1 y) (- t x)))) |
x |
(* (* y z) (* (/ 1 y) (- t x))) |
(* y z) |
y |
z |
(* (/ 1 y) (- t x)) |
(/ 1 y) |
1 |
(- t x) |
t |
(+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))) |
x |
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))) |
(* y z) |
y |
z |
(/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))) |
(- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) |
(/ (* t (* t t)) (* y (* y y))) |
(* t (* t t)) |
t |
(* t t) |
(* y (* y y)) |
(* y y) |
(/ (* x (* x x)) (* y (* y y))) |
(* x (* x x)) |
(* x x) |
(+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))) |
(/ (/ t y) (/ y t)) |
(/ t y) |
(/ y t) |
(+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))) |
(* (/ x y) (/ x y)) |
(/ x y) |
(* (/ t y) (/ x y)) |
| Outputs |
|---|
(+ x (* (* z (- (tanh (/ t y)) (/ x y))) y)) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (-.f64 x (*.f64 x z))) |
x |
(* (* z (- (tanh (/ t y)) (/ x y))) y) |
(-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (*.f64 x z)) |
(* z (- (tanh (/ t y)) (/ x y))) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
z |
(- (tanh (/ t y)) (/ x y)) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh (/ t y)) |
(tanh.f64 (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
t |
y |
(/ x y) |
(/.f64 x y) |
(* z t) |
(*.f64 z t) |
z |
t |
(+ x (* (* y z) (/ t y))) |
(+.f64 x (*.f64 z t)) |
x |
(* (* y z) (/ t y)) |
(*.f64 z t) |
(* y z) |
(*.f64 z y) |
y |
z |
(/ t y) |
(/.f64 t y) |
t |
(+ x (* (* y z) (* (/ 1 y) (- t x)))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
x |
(* (* y z) (* (/ 1 y) (- t x))) |
(*.f64 z (-.f64 t x)) |
(* y z) |
(*.f64 z y) |
y |
z |
(* (/ 1 y) (- t x)) |
(/.f64 (-.f64 t x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(- t x) |
(-.f64 t x) |
t |
(+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))) |
(+.f64 x (/.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (*.f64 t (*.f64 t t)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y))))) |
x |
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))) |
(/.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (*.f64 t (*.f64 t t)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y)))) |
(* y z) |
(*.f64 z y) |
y |
z |
(/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))) |
(/.f64 (-.f64 (/.f64 (/.f64 t y) (*.f64 (/.f64 y t) (/.f64 y t))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y)))) |
(- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) |
(-.f64 (/.f64 (/.f64 t y) (*.f64 (/.f64 y t) (/.f64 y t))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/ (* t (* t t)) (* y (* y y))) |
(/.f64 (/.f64 t y) (*.f64 (/.f64 y t) (/.f64 y t))) |
(* t (* t t)) |
(*.f64 t (*.f64 t t)) |
t |
(* t t) |
(*.f64 t t) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
(/ (* x (* x x)) (* y (* y y))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))) |
(+.f64 (/.f64 (*.f64 t (/.f64 t y)) y) (/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y))) |
(/ (/ t y) (/ y t)) |
(/.f64 (*.f64 t (/.f64 t y)) y) |
(/ t y) |
(/.f64 t y) |
(/ y t) |
(/.f64 y t) |
(+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))) |
(/.f64 (*.f64 x (+.f64 x t)) (*.f64 y y)) |
(* (/ x y) (/ x y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(* (/ t y) (/ x y)) |
(*.f64 t (/.f64 (/.f64 x y) y)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 77.7% | (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y)))))) |
| ✓ | accuracy | 74.5% | (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
| ✓ | accuracy | 72.0% | (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
| ✓ | accuracy | 36.2% | (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)) |
| ✓ | accuracy | 77.7% | (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) |
| ✓ | accuracy | 100.0% | (/.f64 t y) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 77.4% | (*.f64 (*.f64 y z) (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (*.f64 z t) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 96.1% | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | accuracy | 89.6% | (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y) |
| 76.0ms | 256× | 0 | valid |
Compiled 431 to 41 computations (90.5% saved)
ival-mult: 23.0ms (46.2% of total)ival-div: 14.0ms (28.1% of total)ival-add: 8.0ms (16.1% of total)ival-sub: 3.0ms (6% of total)ival-tanh: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* (* z (- (tanh (/ t y)) (/ x y))) y))> |
#<alt (* (* z (- (tanh (/ t y)) (/ x y))) y)> |
#<alt (* z (- (tanh (/ t y)) (/ x y)))> |
#<alt (- (tanh (/ t y)) (/ x y))> |
#<alt (* z t)> |
#<alt (* (* y z) (/ t y))> |
#<alt (+ x (* (* y z) (/ t y)))> |
#<alt (* y z)> |
#<alt (/ t y)> |
#<alt (* (* y z) (* (/ 1 y) (- t x)))> |
#<alt (* (/ 1 y) (- t x))> |
#<alt (+ x (* (* y z) (* (/ 1 y) (- t x))))> |
#<alt (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))> |
#<alt (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))> |
#<alt (+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))))> |
#<alt (tanh (/ t y))> |
#<alt (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))> |
#<alt (/ (* x (* x x)) (* y (* y y)))> |
#<alt (/ (* t (* t t)) (* y (* y y)))> |
| Outputs |
|---|
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* x (+ 1 (* -1 z)))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))> |
#<alt (* -1 (* x (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))> |
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))> |
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))> |
#<alt (+ x (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4)))))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x))))> |
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))> |
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (/ (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) y)) y))))> |
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#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ t (* x (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ t (* x (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ t (* x (pow y 2)))))> |
#<alt (/ (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ t (* x (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ t (* x (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ t (* x (pow y 2)))))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (+ (* t x) (pow x 2)) (pow y 2))> |
#<alt (/ (pow x 2) (pow y 2))> |
#<alt (+ (/ (* t x) (pow y 2)) (/ (pow x 2) (pow y 2)))> |
#<alt (+ (/ (* t x) (pow y 2)) (/ (pow x 2) (pow y 2)))> |
#<alt (+ (/ (* t x) (pow y 2)) (/ (pow x 2) (pow y 2)))> |
#<alt (/ (* t x) (pow y 2))> |
#<alt (* t (+ (/ x (pow y 2)) (/ (pow x 2) (* t (pow y 2)))))> |
#<alt (* t (+ (/ x (pow y 2)) (/ (pow x 2) (* t (pow y 2)))))> |
#<alt (* t (+ (/ x (pow y 2)) (/ (pow x 2) (* t (pow y 2)))))> |
#<alt (/ (* t x) (pow y 2))> |
#<alt (* -1 (* t (+ (* -1 (/ x (pow y 2))) (* -1 (/ (pow x 2) (* t (pow y 2)))))))> |
#<alt (* -1 (* t (+ (* -1 (/ x (pow y 2))) (* -1 (/ (pow x 2) (* t (pow y 2)))))))> |
#<alt (* -1 (* t (+ (* -1 (/ x (pow y 2))) (* -1 (/ (pow x 2) (* t (pow y 2)))))))> |
#<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 (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (/ (* z (- (pow t 3) (pow x 3))) (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (+ x (* -1 (/ (* z (- (* -1 (pow t 3)) (* -1 (pow x 3)))) (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt (+ x (* -1 (/ (* z (- (* -1 (pow t 3)) (* -1 (pow x 3)))) (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt (+ x (* -1 (/ (* z (- (* -1 (pow t 3)) (* -1 (pow x 3)))) (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt (+ x (* -1 (/ (* z (- (* -1 (pow t 3)) (* -1 (pow x 3)))) (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt x> |
#<alt (+ x (/ (* y (* z (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3))))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2))))))> |
#<alt (+ x (/ (* y (* z (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3))))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2))))))> |
#<alt (+ x (/ (* y (* z (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3))))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2))))))> |
#<alt (/ (* y (* z (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3))))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2)))))> |
#<alt (* z (+ (/ x z) (/ (* y (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3)))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2)))))))> |
#<alt (* z (+ (/ x z) (/ (* y (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3)))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2)))))))> |
#<alt (* z (+ (/ x z) (/ (* y (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3)))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2)))))))> |
#<alt (/ (* y (* z (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3))))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* y (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3)))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2)))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* y (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3)))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 2)))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* y (- (/ (pow t 3) (pow y 3)) (/ (pow x 3) (pow y 3)))) (+ (/ (* t x) (pow y 2)) (+ (/ (pow t 2) (pow y 2)) (/ (pow x 2) (pow y 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 (/ t y)> |
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y)> |
#<alt (/ t y)> |
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (* -1 (/ x y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 y)))> |
#<alt (* t (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow t 2))) (/ 1 y)) (/ x (* t y))))> |
#<alt (* t (- (+ (/ 1 y) (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (pow t 3))) (+ (* -1 (/ (pow x 2) (* (pow t 2) y))) (+ (/ x (* t y)) (/ (pow x 2) (* (pow t 2) y))))))> |
#<alt (/ t y)> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) t))) t)) (/ 1 y))))> |
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) t)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) t))) t)) (/ 1 y))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))> |
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt (* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))))> |
#<alt (/ t y)> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* x (- (* -1 (/ (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y)) (pow x 2))) (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* x (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) (pow x 3)) (+ (* -1 (/ t (* x y))) (+ (* -1 (/ (pow t 2) (* (pow x 2) y))) (+ (/ 1 y) (/ (pow t 2) (* (pow x 2) y)))))))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow t 2) (* x y))) (/ (pow t 2) (* x y))) (* -1 (/ t y))) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x) (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x)) (* -1 (/ t y))) x)) (/ 1 y))))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow x 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
#<alt (/ (pow t 3) (pow y 3))> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | -inf | (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))) |
| 7.0ms | z | @ | 0 | (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))) |
| 5.0ms | y | @ | 0 | (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))) |
| 3.0ms | y | @ | -inf | (+ x (* (* z (- (tanh (/ t y)) (/ x y))) y)) |
| 2.0ms | y | @ | inf | (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))) |
| 1× | batch-egg-rewrite |
| 4 524× | *-lowering-*.f32 |
| 4 524× | *-lowering-*.f64 |
| 3 858× | /-lowering-/.f32 |
| 3 858× | /-lowering-/.f64 |
| 3 828× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 232 |
| 1 | 284 | 218 |
| 2 | 3573 | 216 |
| 0 | 8634 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* z (- (tanh (/ t y)) (/ x y))) y)) |
(* (* z (- (tanh (/ t y)) (/ x y))) y) |
(* z (- (tanh (/ t y)) (/ x y))) |
(- (tanh (/ t y)) (/ x y)) |
(* z t) |
(* (* y z) (/ t y)) |
(+ x (* (* y z) (/ t y))) |
(* y z) |
(/ t y) |
(* (* y z) (* (/ 1 y) (- t x))) |
(* (/ 1 y) (- t x)) |
(+ x (* (* y z) (* (/ 1 y) (- t x)))) |
(* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y)))))) |
(+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))) |
(+ x (* (* y z) (/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))))) |
(tanh (/ t y)) |
(/ (- (/ (* t (* t t)) (* y (* y y))) (/ (* x (* x x)) (* y (* y y)))) (+ (/ (/ t y) (/ y t)) (+ (* (/ x y) (/ x y)) (* (/ t y) (/ x y))))) |
(/ (* x (* x x)) (* y (* y y))) |
(/ (* t (* t t)) (* y (* y y))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y))))) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x) |
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(pow.f64 (/.f64 (*.f64 y y) (*.f64 t (/.f64 (*.f64 t t) y))) #s(literal -1 binary64)) |
(*.f64 t (/.f64 (/.f64 t (/.f64 (*.f64 y y) t)) y)) |
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (/.f64 (*.f64 y y) t)))) |
(*.f64 (/.f64 t y) (/.f64 t (/.f64 (*.f64 y y) t))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 y t))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 t t) (/.f64 t (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 t (*.f64 t t)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 t y)) |
(*.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 t (*.f64 t t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (*.f64 t (/.f64 (*.f64 t t) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 t (*.f64 y y)) (/.f64 (*.f64 t t) y)) |
(*.f64 (/.f64 t (*.f64 y y)) (pow.f64 (/.f64 y (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 t (/.f64 (*.f64 y y) t)) y) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 t (/.f64 (*.f64 t t) y))) |
(*.f64 (/.f64 (*.f64 t t) y) (/.f64 t (*.f64 y y))) |
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 t (*.f64 y y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y t)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (/.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 y t))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 t #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 t y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 t y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 t (*.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 t t)) #s(literal -1 binary64)) (/.f64 t (*.f64 y y))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 t y) t) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t y) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 t y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t y) (-.f64 #s(literal 0 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 12 612× | accelerator-lowering-fma.f32 |
| 12 612× | accelerator-lowering-fma.f64 |
| 4 944× | *-lowering-*.f32 |
| 4 944× | *-lowering-*.f64 |
| 3 356× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 718 | 11496 |
| 1 | 2414 | 9793 |
| 0 | 8918 | 9518 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
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(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow t 2) (* x y))) (/ (pow t 2) (* x y))) (* -1 (/ t y))) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x) (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x)) (* -1 (/ t y))) x)) (/ 1 y)))) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow x 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
(/ (pow t 3) (pow y 3)) |
| 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 (*.f64 y z) (+.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))))) |
(+ (* 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 (*.f64 y z) (+.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))))) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(+ (* 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 (*.f64 y z) (+.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))))) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(+ (* 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 (*.f64 y z) (+.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))))) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* -1 z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(* 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)))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) x))) |
(* 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)))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) x))) |
(* 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)))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) x))) |
(* -1 (* x (- z 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) x))) (-.f64 #s(literal 0 binary64) x)) |
x |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y 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 y))))) |
(*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z)) |
(* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z))) |
(*.f64 z (+.f64 (*.f64 y (-.f64 (/.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))))) (/.f64 x y))) (/.f64 x z))) |
(* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z))) |
(*.f64 z (+.f64 (*.f64 y (-.f64 (/.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))))) (/.f64 x y))) (/.f64 x z))) |
(* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z))) |
(*.f64 z (+.f64 (*.f64 y (-.f64 (/.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))))) (/.f64 x y))) (/.f64 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)))))) (/ x y))))) |
(*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z)) |
(* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z))))) |
(*.f64 z (+.f64 (*.f64 y (-.f64 (/.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))))) (/.f64 x y))) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z))))) |
(*.f64 z (+.f64 (*.f64 y (-.f64 (/.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))))) (/.f64 x y))) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z))))) |
(*.f64 z (+.f64 (*.f64 y (-.f64 (/.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))))) (/.f64 x y))) (/.f64 x z))) |
(+ x (* -1 (* x z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 t (+.f64 z (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 t t))) (*.f64 y y))))) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 t (+.f64 z (*.f64 t (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) (/.f64 (*.f64 (*.f64 z (*.f64 t t)) #s(literal 2/15 binary64)) (pow.f64 y #s(literal 4 binary64))))))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (-.f64 (/.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))))) (/.f64 x y)) (*.f64 y z))) |
(+ x (* -1 (* x z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y z) (+.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))))) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(+ x (* z (- t x))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x)))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) 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 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal -1/6 binary64) t)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 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))) (neg.f64 y)) y))) y) |
(* -1 (/ x y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t x) y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t x) y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t x) y) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))) |
(* t (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow t 2))) (/ 1 y)) (/ x (* t y)))) |
(*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))) |
(* t (- (+ (/ 1 y) (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (pow t 3))) (+ (* -1 (/ (pow x 2) (* (pow t 2) y))) (+ (/ x (* t y)) (/ (pow x 2) (* (pow t 2) y)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 x #s(literal 0 binary64)) (-.f64 (+.f64 (/.f64 x (*.f64 y t)) (/.f64 (/.f64 (/.f64 (*.f64 x x) t) t) y)) (/.f64 (/.f64 (/.f64 (*.f64 x x) t) t) y))))) |
(/ t y) |
(/.f64 t y) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (/.f64 x (*.f64 y t)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* t (- (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) t))) t)) (/ 1 y)))) |
(*.f64 t (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))))) |
(* -1 (* t (- (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) t)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) t))) t)) (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (/.f64 (-.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 x y)) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal -1 binary64) y))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ (- (pow t 3) (pow x 3)) (* y (+ (* t x) (+ (pow t 2) (pow x 2))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(* -1 (/ (- (* -1 (pow t 3)) (* -1 (pow x 3))) (* y (+ (* t x) (+ (pow t 2) (pow x 2)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/ t y) |
(/.f64 t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t x) y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t x) y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t x) y) |
(* -1 (/ x y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* x (- (* -1 (/ (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y)) (pow x 2))) (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* x (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) (pow x 3)) (+ (* -1 (/ t (* x y))) (+ (* -1 (/ (pow t 2) (* (pow x 2) y))) (+ (/ 1 y) (/ (pow t 2) (* (pow x 2) y))))))) |
(*.f64 x (-.f64 (*.f64 t #s(literal 0 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 t t) (*.f64 x (*.f64 y x)))) (/.f64 (*.f64 t t) (*.f64 x (*.f64 y x)))) (/.f64 t (*.f64 y x))))) |
(* -1 (/ x y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow t 2) (* x y))) (/ (pow t 2) (* x y))) (* -1 (/ t y))) x)) (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (* t (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x) (+ (* -1 (/ (pow t 2) y)) (/ (pow t 2) y))) x)) (* -1 (/ t y))) x)) (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (*.f64 t #s(literal 0 binary64)) (/.f64 t y)) x))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow x 3) (pow y 3)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
(/ (pow t 3) (pow y 3)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) |
Compiled 47 724 to 3 289 computations (93.1% saved)
32 alts after pruning (26 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 415 | 13 | 1 428 |
| Fresh | 6 | 13 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 423 | 32 | 1 455 |
| Status | Accuracy | Program |
|---|---|---|
| 17.8% | (/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x)) | |
| 5.2% | (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) | |
| ▶ | 29.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
| 69.6% | (+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x) | |
| ▶ | 52.1% | (+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
| ▶ | 48.7% | (+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
| 11.3% | (+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) | |
| 37.5% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) | |
| 52.5% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) | |
| 46.5% | (+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) | |
| 52.1% | (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y)))) | |
| 52.2% | (+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z)) | |
| 52.2% | (+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) | |
| 41.5% | (+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y)) | |
| ✓ | 72.3% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
| 42.7% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y)) | |
| ✓ | 97.6% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
| ▶ | 72.3% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)) |
| 48.3% | (+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y)) | |
| 11.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y))))) | |
| ✓ | 51.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| ✓ | 62.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
| 47.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) | |
| 7.6% | (+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y)))) | |
| 51.3% | (+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t))) | |
| 59.4% | (+.f64 x (*.f64 z (-.f64 t x))) | |
| 55.4% | (+.f64 x (*.f64 z t)) | |
| 25.0% | (*.f64 z (-.f64 t x)) | |
| 48.0% | (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) | |
| ✓ | 14.6% | (*.f64 z t) |
| ▶ | 53.9% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 58.3% | x |
Compiled 1 366 to 729 computations (46.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
| ✓ | cost-diff | 896 | (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 t x) (*.f64 z y)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y) |
| ✓ | cost-diff | 0 | (*.f64 y t) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 y t)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 z (*.f64 y t)) 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 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) y) t) |
| 4 924× | accelerator-lowering-fma.f32 |
| 4 924× | accelerator-lowering-fma.f64 |
| 4 316× | *-lowering-*.f32 |
| 4 316× | *-lowering-*.f64 |
| 1 906× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 277 |
| 1 | 100 | 265 |
| 2 | 334 | 223 |
| 3 | 1724 | 195 |
| 0 | 8049 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)) |
x |
(* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y) |
(* z (- (tanh (* (/ 1 y) t)) (/ x y))) |
z |
(- (tanh (* (/ 1 y) t)) (/ x y)) |
(tanh (* (/ 1 y) t)) |
(* (/ 1 y) t) |
(/ 1 y) |
1 |
y |
t |
(/ x y) |
(* x (- 1 z)) |
x |
(- 1 z) |
1 |
z |
(+ x (/ (* z (* y t)) y)) |
x |
(/ (* z (* y t)) y) |
(* z (* y t)) |
z |
(* y t) |
y |
t |
(+ x (/ (* (- t x) (* z y)) y)) |
x |
(/ (* (- t x) (* z y)) y) |
(* (- t x) (* z y)) |
(- t x) |
t |
(* z y) |
z |
y |
(/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))) |
1 |
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))) |
(- x (/ (* z y) (/ y (- t x)))) |
x |
(/ (* z y) (/ y (- t x))) |
(* z y) |
z |
y |
(/ y (- t x)) |
(- t x) |
t |
(- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))) |
(* x x) |
(* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))) |
| Outputs |
|---|
(+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
x |
(* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) |
(* z (- (tanh (* (/ 1 y) t)) (/ x y))) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
z |
(- (tanh (* (/ 1 y) t)) (/ x y)) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh (* (/ 1 y) t)) |
(tanh.f64 (/.f64 t y)) |
(* (/ 1 y) t) |
(/.f64 t y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
t |
(/ x y) |
(/.f64 x y) |
(* x (- 1 z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
x |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
z |
(+ x (/ (* z (* y t)) y)) |
(+.f64 x (*.f64 z t)) |
x |
(/ (* z (* y t)) y) |
(*.f64 z t) |
(* z (* y t)) |
(*.f64 y (*.f64 z t)) |
z |
(* y t) |
(*.f64 y t) |
y |
t |
(+ x (/ (* (- t x) (* z y)) y)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
x |
(/ (* (- t x) (* z y)) y) |
(*.f64 z (-.f64 t x)) |
(* (- t x) (* z y)) |
(*.f64 z (*.f64 y (-.f64 t x))) |
(- t x) |
(-.f64 t x) |
t |
(* z y) |
(*.f64 z y) |
z |
y |
(/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
1 |
#s(literal 1 binary64) |
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))) |
(- x (/ (* z y) (/ y (- t x)))) |
(+.f64 x (*.f64 z (-.f64 x t))) |
x |
(/ (* z y) (/ y (- t x))) |
(*.f64 z (-.f64 t x)) |
(* z y) |
(*.f64 z y) |
z |
y |
(/ y (- t x)) |
(/.f64 y (-.f64 t x)) |
(- t x) |
(-.f64 t x) |
t |
(- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 x t)))) |
(* x x) |
(*.f64 x x) |
(* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))) |
(*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z z))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) |
| ✓ | accuracy | 81.7% | (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))) |
| ✓ | accuracy | 78.6% | (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) |
| ✓ | accuracy | 46.6% | (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))))) |
| ✓ | accuracy | 100.0% | (*.f64 z y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
| ✓ | accuracy | 95.4% | (*.f64 (-.f64 t x) (*.f64 z y)) |
| ✓ | accuracy | 81.5% | (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
| ✓ | accuracy | 100.0% | (*.f64 y t) |
| ✓ | accuracy | 91.6% | (*.f64 z (*.f64 y t)) |
| ✓ | accuracy | 85.6% | (/.f64 (*.f64 z (*.f64 y t)) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) t) |
| ✓ | accuracy | 96.1% | (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) |
| ✓ | accuracy | 89.6% | (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y) |
| 81.0ms | 256× | 0 | valid |
Compiled 305 to 34 computations (88.9% saved)
ival-mult: 31.0ms (50.8% of total)ival-div: 15.0ms (24.6% of total)ival-sub: 10.0ms (16.4% of total)ival-add: 3.0ms (4.9% of total)ival-tanh: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 y) t)> |
#<alt (+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y))> |
#<alt (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)> |
#<alt (* z (- (tanh (* (/ 1 y) t)) (/ x y)))> |
#<alt (* x (- 1 z))> |
#<alt (- 1 z)> |
#<alt (/ (* z (* y t)) y)> |
#<alt (+ x (/ (* z (* y t)) y))> |
#<alt (* z (* y t))> |
#<alt (* y t)> |
#<alt (/ (* (- t x) (* z y)) y)> |
#<alt (+ x (/ (* (- t x) (* z y)) y))> |
#<alt (* (- t x) (* z y))> |
#<alt (- t x)> |
#<alt (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))> |
#<alt (/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))))> |
#<alt (/ (* z y) (/ y (- t x)))> |
#<alt (- x (/ (* z y) (/ y (- t x))))> |
#<alt (tanh (* (/ 1 y) t))> |
#<alt (* z y)> |
#<alt (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))> |
#<alt (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))> |
| Outputs |
|---|
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* x (+ 1 (* -1 z)))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))))> |
#<alt (* -1 (* x (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))> |
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))> |
#<alt (* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z)))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z)))))> |
#<alt (+ x (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x))))> |
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))> |
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (/ (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))))) (/ (* z (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) y)) (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2))))) y))))> |
#<alt (+ x (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4)))))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))))> |
#<alt (* 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 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- x (* -1 (* x z))) (pow z 2))) (* -1 (/ (- (+ (* -1 (/ (* (- (* -1 (/ (- x (* -1 (* x z))) (pow z 2))) (* -2 (/ x z))) (- (pow x 2) (* (pow x 2) (pow z 2)))) (* t (pow z 2)))) (+ (* 2 (/ (* x (- (/ (pow x 2) z) (+ (* 2 (* x (- (* -1 (/ (- x (* -1 (* x z))) (pow z 2))) (* -2 (/ x z))))) (/ (pow x 2) (pow z 3))))) t)) (/ (pow x 2) z))) (+ (* 2 (* x (- (* -1 (/ (- x (* -1 (* x z))) (pow z 2))) (* -2 (/ x z))))) (/ (pow x 2) (pow z 3)))) t))) (* -2 (/ x z))) t)) (/ 1 z)) t))> |
#<alt (* t z)> |
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#<alt (+ (* t z) (* x (- (+ (* -2 z) (* x (- (+ (* -1 (/ (- 1 (pow z 2)) (* t z))) (/ (* x (* (- 1 (* -1 z)) (- (* -1 (/ (- 1 (pow z 2)) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* -1 (- 1 (* -1 z))))))> |
#<alt (/ (* x (- 1 (pow z 2))) (- 1 (* -1 z)))> |
#<alt (* x (- (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (/ 1 (- 1 (* -1 z)))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (/ (pow z 2) (- 1 (* -1 z))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- 1 (* -1 z))))) (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (/ 1 (- 1 (* -1 z))))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (+ (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (* (pow x 2) (- 1 (* -1 z))))) (/ (pow z 2) (- 1 (* -1 z)))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- 1 (* -1 z))))) (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (+ (/ 1 (- 1 (* -1 z))) (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (- 1 (* -1 z))))))) (* (pow x 3) (- 1 (* -1 z))))))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (+ (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (* (pow x 2) (- 1 (* -1 z))))) (/ (pow z 2) (- 1 (* -1 z)))))))> |
#<alt (/ (* x (- 1 (pow z 2))) (+ 1 z))> |
#<alt (* -1 (* x (- (+ (* -2 (/ (* t (pow z 2)) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z)))) (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (+ 1 z) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (pow z 2)) (+ 1 z))) (* -1 (/ (- (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (* (pow t 2) (pow z 2)) (* x (+ 1 z))))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (* x (+ 1 z)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))) (* -1 (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z))))) (* x (+ 1 z))))) x))) x)) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))> |
#<alt x> |
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#<alt (+ x (* z (- (+ t (* z (- (+ (* -1 (/ (* z (* (- x t) (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x)) (* -1 (/ (pow (- t x) 2) x))) (/ (* (- t x) (- x t)) x)))) x)))> |
#<alt (* -1 (/ (* z (pow (- t x) 2)) (- x t)))> |
#<alt (* z (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))))> |
#<alt (* z (- (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t)))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<alt (* z (- (+ (* -1 (/ (* x (- (/ (pow x 2) (- x t)) (/ (* (pow x 2) (pow (- t x) 2)) (pow (- x t) 3)))) (* (pow z 3) (- x t)))) (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t))))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<alt (* z (- t x))> |
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#<alt (- (+ (* t (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (+ (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (/ (* t (* z (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (* t z)> |
#<alt (* t (- (+ z (* -2 (/ (* x z) t))) (* -1 (/ (- x (* -1 (* x z))) t))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (+ (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))) (/ (* (- x (* -1 (* x z))) (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) z)) (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* (pow t 3) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* (- x (* -1 (* x z))) (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* t z)) (/ (pow x 2) z)) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* z (- t x))> |
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#<alt (* t z)> |
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#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
#<alt (* t z)> |
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#<alt (* t z)> |
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#<alt x> |
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#<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)> |
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#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (/ t y)> |
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#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
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#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))> |
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))> |
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))> |
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))> |
#<alt (- (pow x 2) (* (pow z 2) (pow (- t x) 2)))> |
#<alt (- (pow x 2) (* (pow x 2) (pow z 2)))> |
#<alt (- (+ (* 2 (* t (* x (pow z 2)))) (pow x 2)) (* (pow x 2) (pow z 2)))> |
#<alt (- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2)))> |
#<alt (- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2)))> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
#<alt (* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2)))> |
#<alt (* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))))> |
#<alt (* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))))> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
#<alt (* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2)))> |
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow z 2) (pow (- t x) 2))> |
#<alt (* (pow x 2) (pow z 2))> |
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2)))> |
#<alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))> |
#<alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))> |
#<alt (* (pow t 2) (pow z 2))> |
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))> |
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))> |
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))> |
#<alt (* (pow t 2) (pow z 2))> |
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))> |
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (* (pow t 2) (pow z 2))> |
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))> |
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))> |
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))> |
#<alt (* (pow x 2) (pow z 2))> |
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))> |
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))> |
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))> |
#<alt (* (pow x 2) (pow z 2))> |
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))> |
213 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | t | @ | -inf | (/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))) |
| 5.0ms | z | @ | 0 | (* z (* y t)) |
| 2.0ms | x | @ | inf | (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))) |
| 2.0ms | t | @ | 0 | (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))) |
| 2.0ms | x | @ | -inf | (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))) |
| 1× | batch-egg-rewrite |
| 7 038× | *-lowering-*.f32 |
| 7 038× | *-lowering-*.f64 |
| 3 904× | /-lowering-/.f32 |
| 3 904× | /-lowering-/.f64 |
| 2 458× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 202 |
| 1 | 238 | 178 |
| 2 | 2463 | 178 |
| 0 | 9350 | 173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 y) t) |
(+ x (* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y)) |
(* (* z (- (tanh (* (/ 1 y) t)) (/ x y))) y) |
(* z (- (tanh (* (/ 1 y) t)) (/ x y))) |
(* x (- 1 z)) |
(- 1 z) |
(/ (* z (* y t)) y) |
(+ x (/ (* z (* y t)) y)) |
(* z (* y t)) |
(* y t) |
(/ (* (- t x) (* z y)) y) |
(+ x (/ (* (- t x) (* z y)) y)) |
(* (- t x) (* z y)) |
(- t x) |
(/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))))) |
(/ 1 (/ (- x (/ (* z y) (/ y (- t x)))) (- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))))) |
(/ (* z y) (/ y (- t x))) |
(- x (/ (* z y) (/ y (- t x)))) |
(tanh (* (/ 1 y) t)) |
(* z y) |
(- (* x x) (* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x))))) |
(* (/ (* z y) (/ y (- t x))) (/ (* z y) (/ y (- t x)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y t)) |
(/.f64 t y) |
(/.f64 (neg.f64 t) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 t #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 y t) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) t) |
(*.f64 t (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))) (*.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))))) |
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) |
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z) |
(+.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (/.f64 x (-.f64 #s(literal 0 binary64) y)))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) z)) |
(fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 z (/.f64 x (-.f64 #s(literal 0 binary64) y)))) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) z)) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) z) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x))) z) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) z) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) z) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) z) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) x) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) |
(+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) z) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (-.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) |
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(/.f64 (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z)))) (-.f64 #s(literal 0 binary64) y)) |
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(pow.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 t x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z)) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))) #s(literal -1 binary64)) |
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(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) #s(literal 2 binary64)) |
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(*.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 y y) (-.f64 t x)) (*.f64 (/.f64 y y) (-.f64 t x)))) |
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(*.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))) y) (-.f64 t x)) |
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(*.f64 (/.f64 (/.f64 (*.f64 y z) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (-.f64 t x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 z (-.f64 t x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 z (-.f64 t x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y y) #s(literal 2 binary64)) (pow.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (exp.f64 (log.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) |
| 1× | egg-herbie |
| 6 768× | accelerator-lowering-fma.f32 |
| 6 768× | accelerator-lowering-fma.f64 |
| 6 016× | *-lowering-*.f32 |
| 6 016× | *-lowering-*.f64 |
| 3 678× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1165 | 14725 |
| 1 | 3937 | 13926 |
| 0 | 8557 | 13455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
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(/ (- (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))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* (pow t 2) (pow z 2))) |
(- (* 2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(- (* x (- (* x (- 1 (pow z 2))) (* -2 (* t (pow z 2))))) (* (pow t 2) (pow z 2))) |
(- (* x (- (* x (- 1 (pow z 2))) (* -2 (* t (pow z 2))))) (* (pow t 2) (pow z 2))) |
(* (pow x 2) (- 1 (pow z 2))) |
(* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))) |
(* (pow x 2) (- 1 (pow z 2))) |
(* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2))) |
(pow x 2) |
(+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2)) |
(+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2)) |
(+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2)) |
(* -1 (* (pow z 2) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* -1 (* (pow z 2) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow z 2) (pow (- t x) 2))) |
(- (pow x 2) (* (pow x 2) (pow z 2))) |
(- (+ (* 2 (* t (* x (pow z 2)))) (pow x 2)) (* (pow x 2) (pow z 2))) |
(- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2))) |
(- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2))) |
(* -1 (* (pow t 2) (pow z 2))) |
(* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))) |
(* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))) |
(* -1 (* (pow t 2) (pow z 2))) |
(* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow x 2) (pow z 2)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
| Outputs |
|---|
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(* 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)) (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)))))) |
(+ (* 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)) (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 x (-.f64 #s(literal 1 binary64) z))) |
(+ (* 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)) (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 x (-.f64 #s(literal 1 binary64) z))) |
(+ (* 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)) (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 x (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* -1 z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(* 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)))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (*.f64 y z) (/.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)))))) x))) |
(* 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)))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (*.f64 y z) (/.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)))))) x))) |
(* 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)))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (*.f64 y z) (/.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)))))) x))) |
(* -1 (* x (- z 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1))) |
(*.f64 (+.f64 (-.f64 z (/.f64 (*.f64 (*.f64 y z) (/.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)))))) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1))) |
(*.f64 (+.f64 (-.f64 z (/.f64 (*.f64 (*.f64 y z) (/.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)))))) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x))) 1))) |
(*.f64 (+.f64 (-.f64 z (/.f64 (*.f64 (*.f64 y z) (/.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)))))) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
x |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.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 x y)))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.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 x y)))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.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 x y)))) |
(* 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))))) |
(*.f64 (*.f64 y z) (-.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 x y))) |
(* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z))) |
(*.f64 z (+.f64 (*.f64 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 x y))) (/.f64 x z))) |
(* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z))) |
(*.f64 z (+.f64 (*.f64 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 x y))) (/.f64 x z))) |
(* z (+ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (/ x z))) |
(*.f64 z (+.f64 (*.f64 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 x y))) (/.f64 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)))))) (/ x y))))) |
(*.f64 (*.f64 y z) (-.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 x y))) |
(* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 (-.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 x y)) (neg.f64 y)) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 (-.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 x y)) (neg.f64 y)) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y))))) (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 (-.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 x y)) (neg.f64 y)) (/.f64 x z))) |
(+ x (* -1 (* x z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))) |
(+.f64 (*.f64 (*.f64 y z) (/.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 x (-.f64 #s(literal 1 binary64) z))) |
(+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))) |
(+.f64 (*.f64 (*.f64 y z) (/.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 x (-.f64 #s(literal 1 binary64) z))) |
(+ x (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))) |
(+.f64 (*.f64 (*.f64 y z) (/.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 x (-.f64 #s(literal 1 binary64) z))) |
(+ x (* z (- t x))) |
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(*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 t x))) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 z x) (*.f64 z x)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2))) |
(+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 t (+.f64 (*.f64 t (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z)))))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 t (+.f64 (*.f64 t (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z)))))) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (+.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t)))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t)) (+.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 t t))))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t)) (+.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 t t))))) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (+.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t)))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (-.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 (*.f64 x x) (/.f64 (*.f64 z z) t))) t))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (-.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 (*.f64 x x) (/.f64 (*.f64 z z) t))) t))) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(+.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z))))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(+.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x (+.f64 (*.f64 x (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(+.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x (+.f64 (*.f64 x (*.f64 z z)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))))) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 z x) (*.f64 z x)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x) (+.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x x))))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x) (+.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 x x))))) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 z x) (*.f64 z x)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 z z))) (*.f64 (*.f64 t t) (/.f64 (*.f64 z z) x))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 z z))) (*.f64 (*.f64 t t) (/.f64 (*.f64 z z) x))) x))) |
Compiled 69 359 to 4 568 computations (93.4% saved)
47 alts after pruning (37 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 081 | 20 | 2 101 |
| Fresh | 4 | 17 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2 086 | 47 | 2 133 |
| Status | Accuracy | Program |
|---|---|---|
| 31.8% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) | |
| 5.2% | (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) | |
| 26.6% | (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t)))) | |
| 50.0% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) | |
| 20.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) | |
| 24.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x))) | |
| 19.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))))) | |
| 24.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))))))) | |
| 29.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y))))) | |
| 19.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))))))) | |
| 29.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) | |
| 27.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) | |
| 49.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))) | |
| 26.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))))) | |
| 14.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z))) | |
| 55.1% | (+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) | |
| 69.6% | (+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x) | |
| 30.9% | (+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))) | |
| ✓ | 52.1% | (+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
| ✓ | 48.7% | (+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
| 11.3% | (+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) | |
| 55.1% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) | |
| 37.5% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) | |
| 52.5% | (+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) | |
| 46.5% | (+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) | |
| 51.0% | (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))))) | |
| 52.2% | (+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) | |
| 41.5% | (+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y)) | |
| ✓ | 72.3% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
| 42.7% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y)) | |
| ✓ | 97.6% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
| ✓ | 72.3% | (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)) |
| 48.3% | (+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y)) | |
| 11.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y))))) | |
| ✓ | 51.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| ✓ | 62.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
| 47.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) | |
| 51.3% | (+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t))) | |
| 59.4% | (+.f64 x (*.f64 z (-.f64 t x))) | |
| 55.4% | (+.f64 x (*.f64 z t)) | |
| 25.0% | (*.f64 z (-.f64 t x)) | |
| 14.8% | (*.f64 z (-.f64 #s(literal 0 binary64) x)) | |
| 48.0% | (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) | |
| ✓ | 14.6% | (*.f64 z t) |
| ✓ | 53.9% | (*.f64 x (-.f64 #s(literal 1 binary64) z)) |
| 53.8% | (*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) | |
| ✓ | 58.3% | x |
Compiled 2 502 to 903 computations (63.9% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 #s(literal 0 binary64) x)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z))) |
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z)) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x))) |
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y)))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y))))) |
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))) |
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y)))))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
5 calls:
| 77.0ms | z |
| 32.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 22.0ms | y |
| 19.0ms | x |
| 19.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | y |
| 97.6% | 1 | z |
| 97.6% | 1 | t |
| 97.6% | 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 #s(literal 0 binary64) x)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z))) |
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z)) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x))) |
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y)))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y))))) |
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))) |
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y)))))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 z (-.f64 t x)) |
5 calls:
| 42.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 33.0ms | z |
| 19.0ms | x |
| 18.0ms | t |
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | y |
| 94.7% | 1 | t |
| 94.7% | 1 | x |
| 94.7% | 1 | z |
| 97.3% | 2 | (+.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 #s(literal 0 binary64) x)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z))) |
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z)) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x))) |
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y)))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y))))) |
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))) |
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 z y)) x) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) t)) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y)))))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))))))) y)) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y)) |
4 calls:
| 21.0ms | x |
| 19.0ms | y |
| 18.0ms | t |
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 3 | x |
| 74.3% | 2 | z |
| 82.2% | 4 | t |
| 82.3% | 2 | y |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 #s(literal 0 binary64) x)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z))) |
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z)) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x))) |
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y)))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y))))) |
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))) |
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
2 calls:
| 31.0ms | x |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | x |
| 81.9% | 3 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 #s(literal 0 binary64) x)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z))) |
(*.f64 x (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 x (*.f64 (*.f64 (/.f64 t y) y) z)) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y t)) y)) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 t x))) |
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) y)) |
(+.f64 x (*.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y)) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (*.f64 z (*.f64 y (-.f64 t x))) y)) |
(+.f64 x (/.f64 (*.f64 (-.f64 t x) (*.f64 z y)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 t x) (*.f64 z y)))) |
(+.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 z y)) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) |
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 x t)))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))) (+.f64 x (*.f64 z (-.f64 x t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z (-.f64 x t))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 z (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y))) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z y) (/.f64 y t)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y) (/.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 y z))) y))))) |
(+.f64 x (/.f64 (*.f64 z y) (/.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (/.f64 (/.f64 (*.f64 x x) y) y))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 t y) (/.f64 x y))))))) |
(+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z))) (*.f64 x (+.f64 z #s(literal 1 binary64)))) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 x (+.f64 z #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) x)))) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 t (/.f64 (*.f64 y y) t)) (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t))) y)) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y))) (/.f64 (-.f64 (*.f64 t (/.f64 t y)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x t)))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (/.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (/.f64 (/.f64 y (-.f64 t x)) (*.f64 y z))))) (*.f64 (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))) (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))) (/.f64 (*.f64 z y) (/.f64 y (-.f64 t x))))))) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 z (-.f64 t x))) |
3 calls:
| 21.0ms | x |
| 17.0ms | y |
| 16.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 3 | t |
| 67.2% | 3 | x |
| 75.3% | 2 | y |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (-.f64 #s(literal 0 binary64) x)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
| Outputs |
|---|
x |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
2 calls:
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 3 | z |
| 67.8% | 2 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
| Outputs |
|---|
(*.f64 z t) |
x |
4 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.1% | 2 | z |
| 58.3% | 1 | x |
| 58.3% | 1 | t |
| 58.3% | 1 | y |
Compiled 20 to 16 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | z |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 1 | t |
| 58.3% | 1 | z |
Compiled 10 to 8 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5122406619570745e+304 | +inf |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.15781447668473e-69 | 1.521608171495173e-67 |
| 11.0ms | 107× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 197 to 138 computations (29.9% saved)
ival-tanh: 4.0ms (45.8% of total)ival-div: 2.0ms (22.9% of total)ival-sub: 1.0ms (11.4% of total)ival-mult: 1.0ms (11.4% of total)ival-add: 1.0ms (11.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.4477860097607567e+168 | 1.761356432477832e+175 |
| 12.0ms | 1.15781447668473e-69 | 1.521608171495173e-67 |
| 23.0ms | 250× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 476 to 318 computations (33.2% saved)
ival-div: 7.0ms (40.9% of total)ival-sub: 3.0ms (17.5% of total)ival-mult: 3.0ms (17.5% of total)ival-tanh: 2.0ms (11.7% of total)ival-add: 1.0ms (5.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.9637969614634444e-5 | 432393802.7339391 |
| 11.0ms | 157× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 202 to 149 computations (26.2% saved)
ival-div: 2.0ms (26.6% of total)ival-mult: 2.0ms (26.6% of total)ival-sub: 1.0ms (13.3% of total)ival-add: 1.0ms (13.3% of total)ival-tanh: 1.0ms (13.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 446918507.9694607 | 687010757.6905524 |
| 5.0ms | 60× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 86 to 71 computations (17.4% saved)
ival-sub: 1.0ms (25.1% of total)ival-div: 1.0ms (25.1% of total)ival-mult: 1.0ms (25.1% of total)ival-tanh: 1.0ms (25.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -5.229710153619835e+232 | -9.596417607729644e+230 |
| 8.0ms | 103× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 120 to 96 computations (20% saved)
ival-div: 2.0ms (31.3% of total)ival-mult: 2.0ms (31.3% of total)ival-sub: 1.0ms (15.6% of total)ival-tanh: 1.0ms (15.6% of total)ival-add: 1.0ms (15.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 133 |
| 1 | 75 | 133 |
| 2 | 91 | 133 |
| 3 | 101 | 133 |
| 4 | 107 | 133 |
| 5 | 108 | 133 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 z (-.f64 t x))) |
(if (<=.f64 y #s(literal 4553130216154053/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) x (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))) |
(if (<=.f64 y #s(literal 5585173065148971/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 y #s(literal 1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x))))) |
(if (<=.f64 y #s(literal 78000000 binary64)) x (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 600000000 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(if (<=.f64 z #s(literal -13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152 binary64)) (*.f64 z t) x) |
x |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) |
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 z (-.f64 t x))) |
(if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (*.f64 z (-.f64 t x))) |
(if (<=.f64 y #s(literal 4553130216154053/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) x (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y))) |
(if (<=.f64 y #s(literal 4553130216154053/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) x (+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))))) |
(if (<=.f64 y #s(literal 5585173065148971/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 y #s(literal 1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x))))) |
(if (<=.f64 y #s(literal 5585173065148971/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 y #s(literal 1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) (+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x))))) |
(if (<=.f64 y #s(literal 78000000 binary64)) x (+.f64 x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 y #s(literal 600000000 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z))) |
(if (<=.f64 z #s(literal -13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152 binary64)) (*.f64 z t) x) |
x |
| 15 528× | accelerator-lowering-fma.f32 |
| 15 528× | accelerator-lowering-fma.f64 |
| 13 264× | accelerator-lowering-fma.f32 |
| 13 264× | accelerator-lowering-fma.f64 |
| 5 684× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 792 | 27216 |
| 1 | 2662 | 20820 |
| 0 | 9449 | 20339 |
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 6942 | 7471 |
| 0 | 8224 | 7285 |
| 0 | 12 | 48 |
| 1 | 91 | 48 |
| 2 | 863 | 48 |
| 0 | 8202 | 47 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 333 to 178 computations (46.5% saved)
(abs y)
Compiled 426 to 194 computations (54.5% saved)
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