
Time bar (total: 12.0s)
| 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)
| 1.1s | 8 021× | 0 | valid |
| 38.0ms | 235× | 1 | valid |
ival-mult: 390.0ms (48.1% of total)ival-div: 164.0ms (20.2% of total)ival-tanh: 135.0ms (16.7% of total)ival-add: 67.0ms (8.3% of total)ival-sub: 41.0ms (5.1% of total)ival-true: 5.0ms (0.6% of total)adjust: 4.0ms (0.5% of total)ival-assert: 3.0ms (0.4% 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))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
| 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 |
|---|---|---|---|---|---|
| 31 | 0 | - | 1 | (7.342397729473124e-106 2.6957861752104326e+208 1626.9482244445153 2.226072440018917e-233) | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 1 | 0 | - | 0 | - | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | (/.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 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 | 17 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 7 | 0 |
| ↳ | (*.f64 y z) | overflow | 37 | |
| ↳ | (/.f64 t y) | underflow | 42 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 61 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 25 | |
| ↳ | (/.f64 x y) | underflow | 25 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 42 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 2 | 0 |
-.f64 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 26 | 3 |
| - | 1 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 0 | 3 |
| - | 1 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 229 |
| 1 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 163.0ms | 418× | 0 | valid |
| 18.0ms | 76× | 2 | valid |
| 3.0ms | 18× | 1 | valid |
Compiled 158 to 52 computations (67.1% saved)
ival-div: 10.0ms (30.2% of total)ival-mult: 7.0ms (21.1% of total)ival-tanh: 7.0ms (21.1% of total)ival-sub: 3.0ms (9% of total)adjust: 3.0ms (9% of total)ival-add: 3.0ms (9% 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 |
|---|---|---|
| ▶ | 89.5% | (+.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 | 128 | (+.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))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(* y z) |
(*.f64 y z) |
y |
z |
(- (tanh (/ t y)) (tanh (/ x y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh (/ t y)) |
(tanh.f64 (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
t |
(tanh (/ x y)) |
(tanh.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 99.9% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 17.0ms | 209× | 0 | valid |
| 12.0ms | 38× | 2 | valid |
| 2.0ms | 9× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 6.0ms (33.6% of total)ival-mult: 4.0ms (22.4% of total)ival-tanh: 3.0ms (16.8% of total)ival-add: 2.0ms (11.2% of total)ival-sub: 1.0ms (5.6% of total)adjust: 1.0ms (5.6% 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 (/ 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))))))))))> |
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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)> |
#<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 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ (- t x) y)> |
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y)> |
#<alt (/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y)> |
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 7.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | t | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | x | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | batch-egg-rewrite |
| 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 | 44 |
| 1 | 91 | 44 |
| 2 | 863 | 44 |
| 0 | 8202 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) |
(* y z) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(tanh (/ x y)) |
| 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)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 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))))) |
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(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 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(fma.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))) |
(neg.f64 (neg.f64 (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 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) |
(/.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 (neg.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.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 x (neg.f64 y))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))) |
(/.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 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.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)))) (fma.f64 (/.f64 (exp.f64 (/.f64 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x (neg.f64 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 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))))) |
(/.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 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x (neg.f64 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 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))) |
(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 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) 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 (neg.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))) |
(tanh.f64 (/.f64 x y)) |
| 1× | egg-herbie |
| 10 022× | accelerator-lowering-fma.f32 |
| 10 022× | accelerator-lowering-fma.f64 |
| 3 896× | *-lowering-*.f32 |
| 3 896× | *-lowering-*.f64 |
| 3 590× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6277 | 7212 |
| 0 | 9374 | 7079 |
| 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))))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
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x |
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(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(/ (- t x) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 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 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) |
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(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -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)) |
(* -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)) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* 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))))))) |
(- (+ (* 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))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(/ x 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))))) |
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(/ (- (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)) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
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(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 y (*.f64 z (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 y y)) (neg.f64 z)) x)) |
(+ (* 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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(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) (/.f64 x 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))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x y)) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 x 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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))) x) 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.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 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) x)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))))) y)) y) y) x) (neg.f64 y)) |
Compiled 20 273 to 1 580 computations (92.2% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 435 | 11 | 446 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 436 | 11 | 447 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ▶ | 95.7% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 61.3% | (fma.f64 z (-.f64 t x) x) | |
| 28.5% | (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) | |
| 59.4% | (+.f64 x (*.f64 (*.f64 y z) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (neg.f64 (tanh.f64 (/.f64 x y)))))) | |
| 55.9% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))))) | |
| ▶ | 45.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ▶ | 61.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| 32.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) | |
| 51.2% | (*.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) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) | |
| ▶ | 58.4% | x |
Compiled 562 to 308 computations (45.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t 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 | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 t x) y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 9 928× | accelerator-lowering-fma.f32 |
| 9 928× | accelerator-lowering-fma.f64 |
| 3 374× | *-lowering-*.f32 |
| 3 374× | *-lowering-*.f64 |
| 3 100× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 193 |
| 1 | 82 | 193 |
| 2 | 220 | 193 |
| 3 | 645 | 193 |
| 4 | 2289 | 185 |
| 0 | 8030 | 181 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) |
(* (- (tanh (/ t y)) (tanh (/ x y))) y) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(tanh (/ t y)) |
(/ t y) |
t |
y |
(tanh (/ x y)) |
(/ x y) |
x |
z |
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) (- (tanh (/ t y)) (/ x y)))) |
x |
(* (* y z) (- (tanh (/ t y)) (/ x y))) |
(* y z) |
y |
z |
(- (tanh (/ t y)) (/ x y)) |
(tanh (/ t y)) |
(/ t y) |
t |
(/ x y) |
(+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) |
(* 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 |
| Outputs |
|---|
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(* (- (tanh (/ t y)) (tanh (/ x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh (/ t y)) |
(tanh.f64 (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
t |
y |
(tanh (/ x y)) |
(tanh.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
x |
z |
x |
(+ x (* (* y z) (/ (- t x) y))) |
(fma.f64 z (-.f64 t x) x) |
x |
(* (* y z) (/ (- t x) y)) |
(*.f64 z (-.f64 t x)) |
(* y z) |
(*.f64 y z) |
y |
z |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(- t x) |
(-.f64 t x) |
t |
(+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
(-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) x) (*.f64 x z)) |
x |
(* (* y z) (- (tanh (/ t y)) (/ x y))) |
(-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (*.f64 x z)) |
(* y z) |
(*.f64 y z) |
y |
z |
(- (tanh (/ t y)) (/ x y)) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh (/ t y)) |
(tanh.f64 (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
t |
(/ x y) |
(/.f64 x y) |
(+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(* z (- (tanh (/ t y)) (tanh (/ x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
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 |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 99.9% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 98.0% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| ✓ | accuracy | 97.9% | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ✓ | accuracy | 78.6% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 73.5% | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 99.9% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 94.4% | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| 42.0ms | 209× | 0 | valid |
| 21.0ms | 40× | 2 | valid |
| 2.0ms | 3× | 3 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 193 to 25 computations (87% saved)
ival-mult: 13.0ms (33.1% of total)ival-div: 7.0ms (17.8% of total)ival-sub: 6.0ms (15.3% of total)ival-add: 6.0ms (15.3% of total)adjust: 4.0ms (10.2% of total)ival-tanh: 4.0ms (10.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)> |
#<alt (* (- (tanh (/ t y)) (tanh (/ x y))) y)> |
#<alt (- (tanh (/ t y)) (tanh (/ x y)))> |
#<alt (tanh (/ t y))> |
#<alt (* (* y z) (/ (- t x) y))> |
#<alt (+ x (* (* y z) (/ (- t x) y)))> |
#<alt (* y z)> |
#<alt (/ (- t x) y)> |
#<alt (* (* y z) (- (tanh (/ t y)) (/ x y)))> |
#<alt (+ x (* (* y z) (- (tanh (/ t y)) (/ x y))))> |
#<alt (- (tanh (/ t y)) (/ x y))> |
#<alt (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x)> |
#<alt (* z (- (tanh (/ t y)) (tanh (/ x y))))> |
#<alt (tanh (/ x y))> |
| Outputs |
|---|
#<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))))))))))> |
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#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
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#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
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#<alt (* -1 (* x z))> |
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#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))> |
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#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
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#<alt (* x (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))> |
#<alt (* x (+ (* -1 z) (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))> |
#<alt (* -1 (* x z))> |
#<alt (* -1 (* x (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))))> |
#<alt (* -1 (* x (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))))> |
#<alt (* -1 (* x (+ z (* -1 (/ (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) x)))))> |
#<alt (* 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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#<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))))))))))> |
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#<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 (* -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))))> |
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#<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> |
#<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)))> |
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#<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))> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | 0 | (* (* y z) (- (tanh (/ t y)) (/ x y))) |
| 3.0ms | y | @ | 0 | (* (* y z) (- (tanh (/ t y)) (/ x y))) |
| 2.0ms | y | @ | -inf | (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) |
| 1.0ms | y | @ | -inf | (* (- (tanh (/ t y)) (tanh (/ x y))) y) |
| 1.0ms | y | @ | inf | (* (* y z) (- (tanh (/ t y)) (/ x y))) |
| 1× | batch-egg-rewrite |
| 5 074× | /-lowering-/.f32 |
| 5 074× | /-lowering-/.f64 |
| 3 674× | accelerator-lowering-fma.f32 |
| 3 674× | accelerator-lowering-fma.f64 |
| 3 350× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 131 |
| 1 | 176 | 131 |
| 2 | 1731 | 131 |
| 0 | 8106 | 127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) |
(* (- (tanh (/ t y)) (tanh (/ x y))) y) |
(- (tanh (/ t y)) (tanh (/ x y))) |
(tanh (/ t y)) |
(* (* y z) (/ (- t x) y)) |
(+ x (* (* y z) (/ (- t x) y))) |
(* y z) |
(/ (- t x) y) |
(* (* y z) (- (tanh (/ t y)) (/ x y))) |
(+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
(- (tanh (/ t y)) (/ x y)) |
(+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) |
(* z (- (tanh (/ t y)) (tanh (/ x y)))) |
(tanh (/ x y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x)))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (*.f64 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 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 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 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.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))) y) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.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))) y)) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (tanh.f64 (/.f64 t y))) (-.f64 (*.f64 (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (tanh.f64 (/.f64 t y)) y) (-.f64 (*.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (*.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))))) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))) |
(+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(+.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) z))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) z) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) z) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) z)) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (tanh.f64 (/.f64 t y))) (-.f64 (*.f64 (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (tanh.f64 (/.f64 t y)) z) (-.f64 (*.f64 (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) (*.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (*.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 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.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 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.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 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.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)))) (fma.f64 (/.f64 (exp.f64 (/.f64 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x (neg.f64 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 x (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))))) |
(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) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(tanh.f64 (/.f64 x y)) |
| 1× | egg-herbie |
| 16 898× | accelerator-lowering-fma.f32 |
| 16 898× | accelerator-lowering-fma.f64 |
| 5 692× | +-lowering-+.f64 |
| 5 692× | +-lowering-+.f32 |
| 5 268× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 788 | 20446 |
| 1 | 2618 | 15756 |
| 0 | 9220 | 15364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 |
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(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- t x)) y) |
(/ (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) y) |
(/ (+ (* 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)))) y) |
(/ (+ (* 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))))) y) |
(* -1 (/ (* z (- (* -1 t) (* -1 x))) y)) |
(* -1 (/ (+ (* -1 (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* z (- (* -1 t) (* -1 x)))) y)) |
(* -1 (/ (+ (* -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)))))))))) y)) (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* z (- (* -1 t) (* -1 x)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* 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)) (* 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)) (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* z (- (* -1 t) (* -1 x)))) y)) |
(* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(+ (* -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))))))))) |
(+ (* x (+ (* -1 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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) |
(* 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)) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 t (fma.f64 (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) z) x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) z) 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)))))))))) |
(fma.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)))))))))) |
(fma.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)))))))))) |
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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)))))))))) |
(fma.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)))))))))) |
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(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) 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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64))) (*.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 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.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 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64))) (*.f64 y y))) (-.f64 (/.f64 #s(literal 0 binary64) y) (fma.f64 x (*.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 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 (neg.f64 x) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 y)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (fma.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)))) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))))) (neg.f64 y)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)))) (neg.f64 y)) y)) (neg.f64 y)) |
Compiled 46 701 to 3 142 computations (93.3% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 334 | 24 | 1 358 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 341 | 28 | 1 369 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| 45.5% | (fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) | |
| 17.2% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 32.2% | (fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x) | |
| 61.3% | (fma.f64 (-.f64 t x) z x) | |
| 63.3% | (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (tanh.f64 (/.f64 x y)))) y) z x) | |
| 51.5% | (fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 t) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) y)) (neg.f64 y)) (tanh.f64 (/.f64 x y))) y) z x) | |
| 65.8% | (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) | |
| ▶ | 67.3% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| 40.2% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) y) z x) | |
| ✓ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 50.3% | (fma.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y x) | |
| 44.7% | (fma.f64 (*.f64 z (-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (tanh.f64 (/.f64 x y)))) y x) | |
| 50.6% | (fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) | |
| 54.9% | (fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) | |
| 55.2% | (fma.f64 x (neg.f64 z) x) | |
| 28.5% | (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) | |
| ▶ | 49.1% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
| 55.9% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) | |
| 31.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) | |
| 43.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) | |
| ▶ | 50.2% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| 54.7% | (+.f64 x (*.f64 z t)) | |
| 47.7% | (*.f64 z (-.f64 (+.f64 t (/.f64 x z)) x)) | |
| 27.5% | (*.f64 z (-.f64 t x)) | |
| ▶ | 13.4% | (*.f64 z t) |
| ✓ | 58.4% | x |
Compiled 1 093 to 621 computations (43.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| ✓ | cost-diff | 704 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
| ✓ | cost-diff | 128 | (neg.f64 (-.f64 t x)) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
| ✓ | cost-diff | 448 | (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))))) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 y z) (/.f64 t y)) |
| ✓ | cost-diff | 0 | (*.f64 z t) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| ✓ | cost-diff | 320 | (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
| 4 824× | accelerator-lowering-fma.f32 |
| 4 824× | accelerator-lowering-fma.f64 |
| 3 220× | *-lowering-*.f32 |
| 3 220× | *-lowering-*.f64 |
| 1 648× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 195 |
| 1 | 109 | 191 |
| 2 | 368 | 172 |
| 3 | 1463 | 165 |
| 4 | 6106 | 163 |
| 0 | 8214 | 159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) |
(+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) |
(tanh (/ t y)) |
(/ t y) |
t |
y |
(* (neg (tanh (/ x y))) y) |
(neg (tanh (/ x y))) |
(tanh (/ x y)) |
(/ x y) |
x |
z |
(* z t) |
z |
t |
(+ x (* (* y z) (/ t y))) |
x |
(* (* y z) (/ t y)) |
(* y z) |
y |
z |
(/ t y) |
t |
(+ x (/ 1 (/ (neg y) (* (* y z) (neg (- t x)))))) |
x |
(/ 1 (/ (neg y) (* (* y z) (neg (- t x))))) |
1 |
(/ (neg y) (* (* y z) (neg (- t x)))) |
(neg y) |
y |
(* (* y z) (neg (- t x))) |
(* y z) |
z |
(neg (- t x)) |
(- t x) |
t |
(+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x) |
(* (- (tanh (/ t y)) (/ x y)) y) |
(- (tanh (/ t y)) (/ x y)) |
(tanh (/ t y)) |
(/ t y) |
t |
y |
(/ x y) |
x |
z |
| Outputs |
|---|
(+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) |
(*.f64 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 |
(* (neg (tanh (/ x y))) y) |
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) |
(neg (tanh (/ x y))) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh (/ x y)) |
(tanh.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
x |
z |
(* z t) |
(*.f64 t z) |
z |
t |
(+ x (* (* y z) (/ t y))) |
(fma.f64 t z x) |
x |
(* (* y z) (/ t y)) |
(*.f64 t z) |
(* y z) |
(*.f64 y z) |
y |
z |
(/ t y) |
(/.f64 t y) |
t |
(+ x (/ 1 (/ (neg y) (* (* y z) (neg (- t x)))))) |
(fma.f64 z (-.f64 t x) x) |
x |
(/ 1 (/ (neg y) (* (* y z) (neg (- t x))))) |
(*.f64 z (-.f64 t x)) |
1 |
#s(literal 1 binary64) |
(/ (neg y) (* (* y z) (neg (- t x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) |
(neg y) |
(neg.f64 y) |
y |
(* (* y z) (neg (- t x))) |
(*.f64 y (*.f64 z (-.f64 x t))) |
(* y z) |
(*.f64 y z) |
z |
(neg (- t x)) |
(-.f64 x t) |
(- t x) |
(-.f64 t x) |
t |
(+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x) |
(fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) |
(* (- (tanh (/ t y)) (/ x y)) y) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) |
(- (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) |
x |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | accuracy | 83.7% | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))))) |
| ✓ | accuracy | 90.5% | (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))) |
| ✓ | accuracy | 82.4% | (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.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 | 71.6% | (*.f64 (*.f64 y z) (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (*.f64 z t) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 96.9% | (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
| ✓ | accuracy | 89.3% | (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
| 102.0ms | 212× | 0 | valid |
| 14.0ms | 34× | 1 | valid |
| 6.0ms | 9× | 2 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 201 to 32 computations (84.1% saved)
ival-add: 54.0ms (55.4% of total)ival-mult: 22.0ms (22.6% of total)ival-div: 8.0ms (8.2% of total)ival-tanh: 4.0ms (4.1% of total)adjust: 3.0ms (3.1% of total)ival-neg: 3.0ms (3.1% of total)ival-sub: 3.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y))> |
#<alt (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x)> |
#<alt (tanh (/ t y))> |
#<alt (/ t y)> |
#<alt (* z t)> |
#<alt (* (* y z) (/ t y))> |
#<alt (+ x (* (* y z) (/ t y)))> |
#<alt (* y z)> |
#<alt (/ 1 (/ (neg y) (* (* y z) (neg (- t x)))))> |
#<alt (/ (neg y) (* (* y z) (neg (- t x))))> |
#<alt (+ x (/ 1 (/ (neg y) (* (* y z) (neg (- t x))))))> |
#<alt (neg (- t x))> |
#<alt (* (- (tanh (/ t y)) (/ x y)) y)> |
#<alt (+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x)> |
#<alt (- (tanh (/ t y)) (/ x y))> |
#<alt (* (neg (tanh (/ x y))) y)> |
#<alt (tanh (/ x y))> |
#<alt (* (* y z) (neg (- t x)))> |
| Outputs |
|---|
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (+ (* -1 x) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))))> |
#<alt (- (+ t (+ (* -1 x) (+ (* -1 (/ (- (* 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 x 3))) (pow y 2))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (+ (* 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))))> |
#<alt (- (+ t (+ (* -1 x) (+ (* -1 (/ (- (* 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)))))) (+ (* -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)))))) (pow y 3))) (+ (* -1 (/ (- (* 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 x 3))) (pow y 2))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (+ (* 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))))))> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (+ (* -1 x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))))> |
#<alt (+ t (+ (* -1 x) (* -1 (/ (+ (* -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)))) (* 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 t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))))> |
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#<alt x> |
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#<alt (* -1 (/ x y))> |
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#<alt (* -1 x)> |
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#<alt (* -1 x)> |
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#<alt (* -1 x)> |
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#<alt (/ x y)> |
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#<alt (/ x y)> |
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#<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 (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* y (* z (- x t)))> |
#<alt (* x (* y z))> |
#<alt (+ (* -1 (* t (* y z))) (* x (* y z)))> |
#<alt (+ (* -1 (* t (* y z))) (* x (* y z)))> |
#<alt (+ (* -1 (* t (* y z))) (* x (* y z)))> |
#<alt (* -1 (* t (* y z)))> |
#<alt (* t (+ (* -1 (* y z)) (/ (* x (* y z)) t)))> |
#<alt (* t (+ (* -1 (* y z)) (/ (* x (* y z)) t)))> |
#<alt (* t (+ (* -1 (* y z)) (/ (* x (* y z)) t)))> |
#<alt (* -1 (* t (* y z)))> |
#<alt (* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z))))> |
#<alt (* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z))))> |
#<alt (* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z))))> |
#<alt (* -1 (* t (* y z)))> |
#<alt (+ (* -1 (* t (* y z))) (* x (* y z)))> |
#<alt (+ (* -1 (* t (* y z))) (* x (* y z)))> |
#<alt (+ (* -1 (* t (* y z))) (* x (* y z)))> |
#<alt (* x (* y z))> |
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* y z)))> |
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* y z)))> |
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* y z)))> |
#<alt (* x (* y z))> |
#<alt (* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x))))> |
#<alt (* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x))))> |
#<alt (* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x))))> |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | x | @ | 0 | (/ 1 (/ (neg y) (* (* y z) (neg (- t x))))) |
| 40.0ms | y | @ | -inf | (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) |
| 3.0ms | y | @ | 0 | (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) |
| 1.0ms | y | @ | inf | (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) |
| 1.0ms | y | @ | 0 | (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) |
| 1× | batch-egg-rewrite |
| 5 768× | *-lowering-*.f32 |
| 5 768× | *-lowering-*.f64 |
| 4 134× | /-lowering-/.f32 |
| 4 134× | /-lowering-/.f64 |
| 2 158× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 151 |
| 1 | 210 | 139 |
| 2 | 1991 | 139 |
| 0 | 8676 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) |
(+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) |
(tanh (/ t y)) |
(/ t y) |
(* z t) |
(* (* y z) (/ t y)) |
(+ x (* (* y z) (/ t y))) |
(* y z) |
(/ 1 (/ (neg y) (* (* y z) (neg (- t x))))) |
(/ (neg y) (* (* y z) (neg (- t x)))) |
(+ x (/ 1 (/ (neg y) (* (* y z) (neg (- t x)))))) |
(neg (- t x)) |
(* (- (tanh (/ t y)) (/ x y)) y) |
(+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x) |
(- (tanh (/ t y)) (/ x y)) |
(* (neg (tanh (/ x y))) y) |
(tanh (/ x y)) |
(* (* y z) (neg (- t x))) |
| Outputs |
|---|
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (tanh.f64 (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) |
(fma.f64 y (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) |
(fma.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (tanh.f64 (/.f64 x y))) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64))) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) y) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) y) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) y) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
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(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.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 (*.f64 #s(literal 2 binary64) x) y)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) 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 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(tanh.f64 (/.f64 x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (-.f64 t x)))) |
(neg.f64 (*.f64 y (*.f64 z (-.f64 t x)))) |
(*.f64 y (neg.f64 (*.f64 z (-.f64 t x)))) |
(*.f64 z (*.f64 y (+.f64 (neg.f64 t) x))) |
(*.f64 (*.f64 y z) (+.f64 (neg.f64 t) x)) |
(*.f64 (+.f64 (neg.f64 t) x) (*.f64 y z)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 t x)))) |
(*.f64 (neg.f64 (*.f64 z (-.f64 t x))) y) |
(*.f64 (neg.f64 (*.f64 y z)) (-.f64 t x)) |
(*.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) (-.f64 t x)) |
(*.f64 (*.f64 (+.f64 (neg.f64 t) x) y) z) |
| 1× | egg-herbie |
| 13 022× | accelerator-lowering-fma.f32 |
| 13 022× | accelerator-lowering-fma.f64 |
| 5 820× | +-lowering-+.f64 |
| 5 820× | +-lowering-+.f32 |
| 4 968× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 881 | 12619 |
| 1 | 2925 | 10629 |
| 0 | 9192 | 10366 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
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(+ t (* -1 x)) |
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(/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(+ (* -1 x) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* x (- (* 1/3 (/ (pow x 2) (pow y 2))) 1)) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
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x |
(+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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(* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 x) |
(+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) |
(+ (* -1 x) (+ (* -1 (/ (- (* 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 x 3))) (pow y 2))) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) |
(+ (* -1 x) (+ (* -1 (/ (- (* 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)))))) (+ (* -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)))))) (pow y 3))) (+ (* -1 (/ (- (* 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 x 3))) (pow y 2))) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) |
(* -1 x) |
(+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) |
(+ (* -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))) |
(+ (* -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))) |
(/ 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)) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* y (* z (- x t))) |
(* x (* y z)) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(* -1 (* t (* y z))) |
(* t (+ (* -1 (* y z)) (/ (* x (* y z)) t))) |
(* t (+ (* -1 (* y z)) (/ (* x (* y z)) t))) |
(* t (+ (* -1 (* y z)) (/ (* x (* y z)) t))) |
(* -1 (* t (* y z))) |
(* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z)))) |
(* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z)))) |
(* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z)))) |
(* -1 (* t (* y z))) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(* x (* y z)) |
(* x (+ (* -1 (/ (* t (* y z)) x)) (* y z))) |
(* x (+ (* -1 (/ (* t (* y z)) x)) (* y z))) |
(* x (+ (* -1 (/ (* t (* y z)) x)) (* y z))) |
(* x (* y z)) |
(* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x)))) |
(* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x)))) |
(* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x)))) |
| Outputs |
|---|
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(fma.f64 y (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) t) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(fma.f64 y (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (fma.f64 (*.f64 t #s(literal -1/3 binary64)) (/.f64 (*.f64 t t) (*.f64 y y)) t)) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) t) (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(*.f64 y (+.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) |
(+ t (* -1 x)) |
(-.f64 t x) |
(+ t (+ (* -1 x) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) |
(+.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) x) (+.f64 t (/.f64 #s(literal 0 binary64) y))) |
(- (+ t (+ (* -1 x) (+ (* -1 (/ (- (* 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 x 3))) (pow y 2))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (+ (* 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)))) |
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(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.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 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.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 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (+.f64 x (/.f64 #s(literal 0 binary64) y))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 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 (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64)))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (neg.f64 y)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 y)) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* y (* z (- x t))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* x (* y z)) |
(*.f64 (*.f64 x z) y) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* -1 (* t (* y z))) |
(*.f64 t (*.f64 y (neg.f64 z))) |
(* t (+ (* -1 (* y z)) (/ (* x (* y z)) t))) |
(*.f64 t (fma.f64 y (neg.f64 z) (/.f64 (*.f64 (*.f64 x z) y) t))) |
(* t (+ (* -1 (* y z)) (/ (* x (* y z)) t))) |
(*.f64 t (fma.f64 y (neg.f64 z) (/.f64 (*.f64 (*.f64 x z) y) t))) |
(* t (+ (* -1 (* y z)) (/ (* x (* y z)) t))) |
(*.f64 t (fma.f64 y (neg.f64 z) (/.f64 (*.f64 (*.f64 x z) y) t))) |
(* -1 (* t (* y z))) |
(*.f64 t (*.f64 y (neg.f64 z))) |
(* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z)))) |
(*.f64 (neg.f64 t) (-.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x z) y) t))) |
(* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z)))) |
(*.f64 (neg.f64 t) (-.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x z) y) t))) |
(* -1 (* t (+ (* -1 (/ (* x (* y z)) t)) (* y z)))) |
(*.f64 (neg.f64 t) (-.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x z) y) t))) |
(* -1 (* t (* y z))) |
(*.f64 t (*.f64 y (neg.f64 z))) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(+ (* -1 (* t (* y z))) (* x (* y z))) |
(*.f64 (*.f64 y (-.f64 x t)) z) |
(* x (* y z)) |
(*.f64 (*.f64 x z) y) |
(* x (+ (* -1 (/ (* t (* y z)) x)) (* y z))) |
(*.f64 x (-.f64 (*.f64 y z) (/.f64 (*.f64 t (*.f64 y z)) x))) |
(* x (+ (* -1 (/ (* t (* y z)) x)) (* y z))) |
(*.f64 x (-.f64 (*.f64 y z) (/.f64 (*.f64 t (*.f64 y z)) x))) |
(* x (+ (* -1 (/ (* t (* y z)) x)) (* y z))) |
(*.f64 x (-.f64 (*.f64 y z) (/.f64 (*.f64 t (*.f64 y z)) x))) |
(* x (* y z)) |
(*.f64 (*.f64 x z) y) |
(* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 t (/.f64 (*.f64 y z) x) (*.f64 y (neg.f64 z)))) |
(* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 t (/.f64 (*.f64 y z) x) (*.f64 y (neg.f64 z)))) |
(* -1 (* x (+ (* -1 (* y z)) (/ (* t (* y z)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 t (/.f64 (*.f64 y z) x) (*.f64 y (neg.f64 z)))) |
Compiled 33 699 to 3 349 computations (90.1% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 387 | 13 | 1 400 |
| Fresh | 8 | 13 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 398 | 30 | 1 428 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| 43.8% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) z x) | |
| ▶ | 74.9% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
| 45.5% | (fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) | |
| ▶ | 17.2% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
| 53.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 y z)))) (+.f64 (neg.f64 t) x) x) | |
| 28.2% | (fma.f64 (-.f64 (-.f64 t x) (/.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) z x) | |
| 61.3% | (fma.f64 (-.f64 t x) z x) | |
| 63.3% | (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (tanh.f64 (/.f64 x y)))) y) z x) | |
| 49.4% | (fma.f64 (*.f64 (/.f64 t y) z) y x) | |
| 51.5% | (fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 t) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) y)) (neg.f64 y)) (tanh.f64 (/.f64 x y))) y) z x) | |
| 65.8% | (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) | |
| ✓ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ▶ | 47.6% | (fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
| 44.7% | (fma.f64 (*.f64 z (-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (tanh.f64 (/.f64 x y)))) y x) | |
| 53.3% | (fma.f64 (*.f64 t (*.f64 y z)) (/.f64 #s(literal 1 binary64) y) x) | |
| 55.2% | (fma.f64 (neg.f64 x) z x) | |
| 54.9% | (fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) | |
| ▶ | 54.7% | (fma.f64 t z x) |
| 50.6% | (+.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 t x)))))) | |
| ▶ | 53.3% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
| 54.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))) | |
| 55.9% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) | |
| 31.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) | |
| 43.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) | |
| 47.7% | (*.f64 z (-.f64 (/.f64 x z) (-.f64 x t))) | |
| 27.5% | (*.f64 z (-.f64 t x)) | |
| ✓ | 13.4% | (*.f64 z t) |
| ✓ | 58.4% | x |
Compiled 1 076 to 622 computations (42.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 1408 | (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) |
| ✓ | cost-diff | 3136 | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
| ✓ | cost-diff | 0 | (*.f64 t (*.f64 y z)) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
| ✓ | cost-diff | 320 | (/.f64 y (*.f64 t (*.f64 y z))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 x y)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
| ✓ | cost-diff | 1024 | (*.f64 (neg.f64 (/.f64 x y)) y) |
| ✓ | cost-diff | 0 | (fma.f64 t z x) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
| 4 868× | accelerator-lowering-fma.f32 |
| 4 868× | accelerator-lowering-fma.f64 |
| 3 810× | *-lowering-*.f32 |
| 3 810× | *-lowering-*.f64 |
| 2 084× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 216 |
| 1 | 107 | 214 |
| 2 | 307 | 197 |
| 3 | 1238 | 173 |
| 4 | 5710 | 173 |
| 0 | 8317 | 164 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* (tanh (/ t y)) y) (neg x)) z) x) |
(+ (* (tanh (/ t y)) y) (neg x)) |
(tanh (/ t y)) |
(/ t y) |
t |
y |
(neg x) |
x |
z |
(+ (* t z) x) |
t |
z |
x |
(+ (* (* (neg (/ x y)) y) z) x) |
(* (neg (/ x y)) y) |
(neg (/ x y)) |
(/ x y) |
x |
y |
z |
(+ x (/ 1 (/ y (* t (* y z))))) |
x |
(/ 1 (/ y (* t (* y z)))) |
1 |
(/ y (* t (* y z))) |
y |
(* t (* y z)) |
t |
(* y z) |
z |
(+ (* (/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) (/ 1 (+ (* t t) (* x (+ t x))))) x) |
(/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) |
(* y z) |
y |
z |
(/ y (* (+ (* t t) (* x (+ t x))) (- t x))) |
(* (+ (* t t) (* x (+ t x))) (- t x)) |
(+ (* t t) (* x (+ t x))) |
t |
(* x (+ t x)) |
x |
(+ t x) |
(- t x) |
(/ 1 (+ (* t t) (* x (+ t x)))) |
1 |
| Outputs |
|---|
(+ (* (+ (* (tanh (/ t y)) y) (neg x)) z) x) |
(fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z x) |
(+ (* (tanh (/ t y)) y) (neg x)) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) |
(tanh (/ t y)) |
(tanh.f64 (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
t |
y |
(neg x) |
(neg.f64 x) |
x |
z |
(+ (* t z) x) |
(fma.f64 t z x) |
t |
z |
x |
(+ (* (* (neg (/ x y)) y) z) x) |
(-.f64 x (*.f64 x z)) |
(* (neg (/ x y)) y) |
(neg.f64 x) |
(neg (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
z |
(+ x (/ 1 (/ y (* t (* y z))))) |
(fma.f64 t z x) |
x |
(/ 1 (/ y (* t (* y z)))) |
(*.f64 t z) |
1 |
#s(literal 1 binary64) |
(/ y (* t (* y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 t z)) |
y |
(* t (* y z)) |
(*.f64 t (*.f64 y z)) |
t |
(* y z) |
(*.f64 y z) |
z |
(+ (* (/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) (/ 1 (+ (* t t) (* x (+ t x))))) x) |
(fma.f64 z (-.f64 t x) x) |
(/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) |
(*.f64 z (*.f64 (fma.f64 t (+.f64 t x) (*.f64 x x)) (-.f64 t x))) |
(* y z) |
(*.f64 y z) |
y |
z |
(/ y (* (+ (* t t) (* x (+ t x))) (- t x))) |
(/.f64 y (*.f64 (fma.f64 t (+.f64 t x) (*.f64 x x)) (-.f64 t x))) |
(* (+ (* t t) (* x (+ t x))) (- t x)) |
(*.f64 (fma.f64 t (+.f64 t x) (*.f64 x x)) (-.f64 t x)) |
(+ (* t t) (* x (+ t x))) |
(fma.f64 t (+.f64 t x) (*.f64 x x)) |
t |
(* x (+ t x)) |
(*.f64 x (+.f64 t x)) |
x |
(+ t x) |
(+.f64 t x) |
(- t x) |
(-.f64 t x) |
(/ 1 (+ (* t t) (* x (+ t x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t x) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.3% | (fma.f64 t t (*.f64 x (+.f64 t x))) |
| ✓ | accuracy | 91.2% | (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) |
| ✓ | accuracy | 77.7% | (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) |
| ✓ | accuracy | 46.3% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z)))) |
| ✓ | accuracy | 89.8% | (*.f64 t (*.f64 y z)) |
| ✓ | accuracy | 82.9% | (/.f64 y (*.f64 t (*.f64 y z))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 x y)) |
| ✓ | accuracy | 78.6% | (*.f64 (neg.f64 (/.f64 x y)) y) |
| ✓ | accuracy | 100.0% | (fma.f64 t z x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 97.1% | (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) |
| 72.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 217 to 37 computations (82.9% saved)
ival-mult: 15.0ms (29.1% of total)ival-div: 11.0ms (21.4% of total)ival-neg: 11.0ms (21.4% of total)ival-add: 11.0ms (21.4% of total)ival-sub: 1.0ms (1.9% of total)ival-tanh: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* (tanh (/ t y)) y) (neg x)) z) x)> |
#<alt (+ (* (tanh (/ t y)) y) (neg x))> |
#<alt (tanh (/ t y))> |
#<alt (/ t y)> |
#<alt (+ (* t z) x)> |
#<alt (* (neg (/ x y)) y)> |
#<alt (+ (* (* (neg (/ x y)) y) z) x)> |
#<alt (neg (/ x y))> |
#<alt (/ x y)> |
#<alt (/ 1 (/ y (* t (* y z))))> |
#<alt (/ y (* t (* y z)))> |
#<alt (+ x (/ 1 (/ y (* t (* y z)))))> |
#<alt (* t (* y z))> |
#<alt (+ (* (/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) (/ 1 (+ (* t t) (* x (+ t x))))) x)> |
#<alt (/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x))))> |
#<alt (* y z)> |
#<alt (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))> |
#<alt (neg x)> |
#<alt (+ (* t t) (* x (+ t x)))> |
| Outputs |
|---|
#<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 (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<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 (* z (- t x)))> |
#<alt (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x))))> |
#<alt (+ 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)) (* z (- t x))))> |
#<alt (+ 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)) (* z (- t x))))> |
#<alt (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (/ (* y (* z (- (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)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (* -1 (* x (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) 1)))> |
#<alt x> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)))> |
#<alt (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x))> |
#<alt (* z (- (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) x))> |
#<alt (* z (- (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) x))> |
#<alt (* z (- (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) x))> |
#<alt (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x))> |
#<alt (* -1 (* z (+ (* -1 (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)) (* -1 (/ x z)))))> |
#<alt (* -1 x)> |
#<alt (- t x)> |
#<alt (- (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) x)> |
#<alt (- (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x)> |
#<alt (* -1 x)> |
#<alt (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x)> |
#<alt (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x)> |
#<alt (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x)> |
#<alt (- t x)> |
#<alt (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) x)> |
#<alt (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (+ x (* 1/2 (/ (pow t 3) (pow y 2)))))> |
#<alt (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))))> |
#<alt (- t x)> |
#<alt (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) x)> |
#<alt (- (+ t (* -1 (/ (- (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 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 (/ (pow t 3) y))) y))) x)> |
#<alt (- (+ t (* -1 (/ (+ (* -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)))) (* 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))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) y)) (* 1/2 (/ (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)))) y)) (* -1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) x)> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (+ (* -1 x) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 x) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* -1 x) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) 1))> |
#<alt (* x (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) 1))> |
#<alt (* x (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t 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))> |
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#<alt (+ (* -1 (/ y (pow x 3))) (* t (- (* -1 (* t (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* y (pow (+ (* -1 (pow x 2)) (pow x 2)) 2)) (pow x 9))))) (/ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 6)))))> |
#<alt (+ (* -1 (/ y (pow x 3))) (* t (- (* t (- (* -1 (* t (+ (/ y (pow x 6)) (+ (/ (* y (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 9)) (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* y (pow (+ (* -1 (pow x 2)) (pow x 2)) 2)) (pow x 9)))) (pow x 3)))))) (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* y (pow (+ (* -1 (pow x 2)) (pow x 2)) 2)) (pow x 9))))) (/ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 6)))))> |
#<alt (/ y (pow t 3))> |
#<alt (/ (+ y (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 3))> |
#<alt (/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))) (pow t 2)))) (/ (* y (+ x (* -1 x))) t)) (pow t 3))> |
#<alt (/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (* (pow x 3) y)))) (pow t 3)))) (+ (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow t 2))) (+ (/ (* y (+ x (* -1 x))) t) (/ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow t 2))))) (pow t 3))> |
#<alt (/ y (pow t 3))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 3)))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))) t)) (* y (+ x (* -1 x)))) t))) (pow t 3)))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (+ (* -1 (/ (+ (* -1 (* y (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))))) (* (pow x 3) y))) t)) (* y (+ (* -1 (pow x 2)) (pow x 2))))) t)) (* y (+ x (* -1 x)))) t))) (pow t 3)))> |
#<alt (/ y (pow t 3))> |
#<alt (+ (* -1 (/ (* x (* y (+ (* -1 (pow t 2)) (pow t 2)))) (pow t 6))) (/ y (pow t 3)))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))))) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow t 6)))) (/ y (pow t 3)))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ y (pow t 6))) (+ (* -1 (/ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) (pow t 9))) (* -1 (/ (* (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))) (+ (* -1 (pow t 2)) (pow t 2))) (pow t 3))))))) (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))))) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow t 6)))) (/ y (pow t 3)))> |
#<alt (* -1 (/ y (pow x 3)))> |
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ t (* -1 t))) x))) (pow x 3))> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (* -1 (pow t 2)) (pow t 2))) (* y (pow (+ t (* -1 t)) 2))) (pow x 2)))) (/ (* y (+ t (* -1 t))) x)) (pow x 3))> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* (+ t (* -1 t)) (+ (* y (+ (* -1 (pow t 2)) (pow t 2))) (* y (pow (+ t (* -1 t)) 2)))) (* (pow t 3) y))) (pow x 3)))) (+ (/ (* y (+ t (* -1 t))) x) (+ (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2)) (/ (* y (pow (+ t (* -1 t)) 2)) (pow x 2))))) (pow x 3))> |
#<alt (* -1 (/ y (pow x 3)))> |
#<alt (* -1 (/ (+ y (/ (* y (+ t (* -1 t))) x)) (pow x 3)))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) x)) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) x)) (* y (+ t (* -1 t)))) x))) (pow x 3)))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) x)) (+ (* -1 (/ (* (+ t (* -1 t)) (+ (* -1 (* y (pow (+ t (* -1 t)) 2))) (* y (+ (* -1 (pow t 2)) (pow t 2))))) x)) (/ (* (pow t 3) y) x))) (+ (* -1 (* y (pow (+ t (* -1 t)) 2))) (* y (+ (* -1 (pow t 2)) (pow t 2))))) x)) (* y (+ t (* -1 t)))) x))) (pow x 3)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (pow x 2)> |
#<alt (+ (* t x) (pow x 2))> |
#<alt (+ (* t (+ t x)) (pow x 2))> |
#<alt (+ (* t (+ t x)) (pow x 2))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (/ x t)))> |
#<alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (/ x t)))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (pow t 2)> |
#<alt (+ (* t x) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | t | @ | 0 | (/ y (* t (* y z))) |
| 2.0ms | y | @ | -inf | (+ (* (tanh (/ t y)) y) (neg x)) |
| 2.0ms | x | @ | inf | (/ y (* (+ (* t t) (* x (+ t x))) (- t x))) |
| 1.0ms | y | @ | 0 | (/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) |
| 1.0ms | x | @ | 0 | (/ y (* (+ (* t t) (* x (+ t x))) (- t x))) |
| 1× | batch-egg-rewrite |
| 5 090× | accelerator-lowering-fma.f32 |
| 5 090× | accelerator-lowering-fma.f64 |
| 4 620× | *-lowering-*.f32 |
| 4 620× | *-lowering-*.f64 |
| 4 330× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 166 |
| 1 | 240 | 130 |
| 2 | 2276 | 126 |
| 0 | 8925 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* (tanh (/ t y)) y) (neg x)) z) x) |
(+ (* (tanh (/ t y)) y) (neg x)) |
(tanh (/ t y)) |
(/ t y) |
(+ (* t z) x) |
(* (neg (/ x y)) y) |
(+ (* (* (neg (/ x y)) y) z) x) |
(neg (/ x y)) |
(/ x y) |
(/ 1 (/ y (* t (* y z)))) |
(/ y (* t (* y z))) |
(+ x (/ 1 (/ y (* t (* y z))))) |
(* t (* y z)) |
(+ (* (/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) (/ 1 (+ (* t t) (* x (+ t x))))) x) |
(/ (* y z) (/ y (* (+ (* t t) (* x (+ t x))) (- t x)))) |
(* y z) |
(/ y (* (+ (* t t) (* x (+ t x))) (- t x))) |
(neg x) |
(+ (* t t) (* x (+ t x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) |
(+.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z))) (/.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)))) |
(fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z x) |
(fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) (*.f64 z x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) (*.f64 z x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x))) (*.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z (neg.f64 x)))) |
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (tanh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 (neg.f64 x))))) |
(-.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (fma.f64 y (tanh.f64 (/.f64 t y)) x)) (/.f64 (*.f64 x x) (fma.f64 y (tanh.f64 (/.f64 t y)) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 y (tanh.f64 (/.f64 t y))))) (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (*.f64 y (tanh.f64 (/.f64 t y)))))) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 y (tanh.f64 (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 y (tanh.f64 (/.f64 t y)) x)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))))))) (neg.f64 (neg.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))))))) |
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(/.f64 (+.f64 (pow.f64 (fma.f64 t t (*.f64 t x)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 t t (*.f64 t x)) (fma.f64 t t (*.f64 t x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 t t (*.f64 t x)) (*.f64 x x))))) |
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(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))))) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
| 1× | egg-herbie |
| 15 022× | accelerator-lowering-fma.f32 |
| 15 022× | accelerator-lowering-fma.f64 |
| 5 438× | *-lowering-*.f32 |
| 5 438× | *-lowering-*.f64 |
| 4 096× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 703 | 7355 |
| 1 | 2359 | 6154 |
| 0 | 9312 | 5928 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
(+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x))) |
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(* -1 x) |
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(- t x) |
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(- t x) |
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(/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
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(+ (* -1 x) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 x) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(* -1 x) |
(* x (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) 1)) |
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(* x (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
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(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
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(/ (- (+ 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)) |
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(* -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)) |
(/ t y) |
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(/ t y) |
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(/ t y) |
x |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(* t z) |
(* t (+ z (/ x t))) |
(* t (+ z (/ x t))) |
(* t (+ z (/ x t))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ x t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ x t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ x t))))) |
x |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(* t z) |
(* z (+ t (/ x z))) |
(* z (+ t (/ x z))) |
(* z (+ t (/ x z))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ x z))))) |
(* t z) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
x |
(* x (+ 1 (/ (* t z) x))) |
(* x (+ 1 (/ (* t z) x))) |
(* x (+ 1 (/ (* t z) x))) |
x |
(* -1 (* x (- (* -1 (/ (* t z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* t z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* t z) x)) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
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(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
x |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(/ 1 (* t z)) |
(* t z) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
x |
(* x (+ 1 (/ (* t z) x))) |
(* x (+ 1 (/ (* t z) x))) |
(* x (+ 1 (/ (* t z) x))) |
x |
(* -1 (* x (- (* -1 (/ (* t z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* t z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* t z) x)) 1))) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
x |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(* t z) |
(* t (+ z (/ x t))) |
(* t (+ z (/ x t))) |
(* t (+ z (/ x t))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ x t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ x t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ x t))))) |
x |
(+ x (* t z)) |
(+ x (* t z)) |
(+ x (* t z)) |
(* t z) |
(* z (+ t (/ x z))) |
(* z (+ t (/ x z))) |
(* z (+ t (/ x z))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ x z))))) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
(* t (* y z)) |
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(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
x |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(* z (- t x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- t x)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(* t z) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* z (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* -1 (* (pow x 3) z)) |
(+ (* -1 (* (pow x 3) z)) (* t (* z (+ (* -1 (pow x 2)) (pow x 2))))) |
(+ (* -1 (* (pow x 3) z)) (* t (+ (* t (* z (+ x (* -1 x)))) (* z (+ (* -1 (pow x 2)) (pow x 2)))))) |
(+ (* -1 (* (pow x 3) z)) (* t (+ (* t (+ (* t z) (* z (+ x (* -1 x))))) (* z (+ (* -1 (pow x 2)) (pow x 2)))))) |
(* (pow t 3) z) |
(* (pow t 3) (+ z (/ (* z (+ x (* -1 x))) t))) |
(* (pow t 3) (+ z (+ (/ (* z (+ x (* -1 x))) t) (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) (pow t 2))))) |
(* (pow t 3) (+ z (+ (* -1 (/ (* (pow x 3) z) (pow t 3))) (+ (/ (* z (+ x (* -1 x))) t) (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) (pow t 2)))))) |
(* (pow t 3) z) |
(* -1 (* (pow t 3) (+ (* -1 z) (/ (* z (+ x (* -1 x))) t)))) |
(* -1 (* (pow t 3) (+ (* -1 z) (* -1 (/ (+ (* -1 (* z (+ x (* -1 x)))) (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) t)) t))))) |
(* -1 (* (pow t 3) (+ (* -1 z) (* -1 (/ (+ (* -1 (* z (+ x (* -1 x)))) (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow x 2)) (pow x 2)))) (/ (* (pow x 3) z) t)) t))) t))))) |
(* (pow t 3) z) |
(+ (* x (* z (+ (* -1 (pow t 2)) (pow t 2)))) (* (pow t 3) z)) |
(+ (* x (+ (* x (* z (+ t (* -1 t)))) (* z (+ (* -1 (pow t 2)) (pow t 2))))) (* (pow t 3) z)) |
(+ (* x (+ (* x (+ (* -1 (* x z)) (* z (+ t (* -1 t))))) (* z (+ (* -1 (pow t 2)) (pow t 2))))) (* (pow t 3) z)) |
(* -1 (* (pow x 3) z)) |
(* (pow x 3) (+ (* -1 z) (/ (* z (+ t (* -1 t))) x))) |
(* (pow x 3) (+ (* -1 z) (+ (/ (* z (+ t (* -1 t))) x) (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))))) |
(* (pow x 3) (+ (* -1 z) (+ (/ (* z (+ t (* -1 t))) x) (+ (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2)) (/ (* (pow t 3) z) (pow x 3)))))) |
(* -1 (* (pow x 3) z)) |
(* -1 (* (pow x 3) (+ z (* -1 (/ (* z (+ t (* -1 t))) x))))) |
(* -1 (* (pow x 3) (+ z (* -1 (/ (+ (* -1 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) x)) (* z (+ t (* -1 t)))) x))))) |
(* -1 (* (pow x 3) (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t 3) z) x)) (* z (+ (* -1 (pow t 2)) (pow t 2)))) x)) (* z (+ t (* -1 t)))) x))))) |
(* 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) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(/ y (* (+ (* x (+ t x)) (pow t 2)) (- t x))) |
(* -1 (/ y (pow x 3))) |
(+ (* -1 (/ y (pow x 3))) (* -1 (/ (* t (* y (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 6)))) |
(+ (* -1 (/ y (pow x 3))) (* t (- (* -1 (* t (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* y (pow (+ (* -1 (pow x 2)) (pow x 2)) 2)) (pow x 9))))) (/ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 6))))) |
(+ (* -1 (/ y (pow x 3))) (* t (- (* t (- (* -1 (* t (+ (/ y (pow x 6)) (+ (/ (* y (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 9)) (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* y (pow (+ (* -1 (pow x 2)) (pow x 2)) 2)) (pow x 9)))) (pow x 3)))))) (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* y (pow (+ (* -1 (pow x 2)) (pow x 2)) 2)) (pow x 9))))) (/ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 6))))) |
(/ y (pow t 3)) |
(/ (+ y (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 3)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))) (pow t 2)))) (/ (* y (+ x (* -1 x))) t)) (pow t 3)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (* (pow x 3) y)))) (pow t 3)))) (+ (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow t 2))) (+ (/ (* y (+ x (* -1 x))) t) (/ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow t 2))))) (pow t 3)) |
(/ y (pow t 3)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))) t)) (* y (+ x (* -1 x)))) t))) (pow t 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (+ (* -1 (/ (+ (* -1 (* y (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* y (+ (* -1 (pow x 2)) (pow x 2)))))) (* (pow x 3) y))) t)) (* y (+ (* -1 (pow x 2)) (pow x 2))))) t)) (* y (+ x (* -1 x)))) t))) (pow t 3))) |
(/ y (pow t 3)) |
(+ (* -1 (/ (* x (* y (+ (* -1 (pow t 2)) (pow t 2)))) (pow t 6))) (/ y (pow t 3))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))))) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow t 6)))) (/ y (pow t 3))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ y (pow t 6))) (+ (* -1 (/ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) (pow t 9))) (* -1 (/ (* (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))) (+ (* -1 (pow t 2)) (pow t 2))) (pow t 3))))))) (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))))) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow t 6)))) (/ y (pow t 3))) |
(* -1 (/ y (pow x 3))) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ t (* -1 t))) x))) (pow x 3)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (* -1 (pow t 2)) (pow t 2))) (* y (pow (+ t (* -1 t)) 2))) (pow x 2)))) (/ (* y (+ t (* -1 t))) x)) (pow x 3)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* (+ t (* -1 t)) (+ (* y (+ (* -1 (pow t 2)) (pow t 2))) (* y (pow (+ t (* -1 t)) 2)))) (* (pow t 3) y))) (pow x 3)))) (+ (/ (* y (+ t (* -1 t))) x) (+ (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2)) (/ (* y (pow (+ t (* -1 t)) 2)) (pow x 2))))) (pow x 3)) |
(* -1 (/ y (pow x 3))) |
(* -1 (/ (+ y (/ (* y (+ t (* -1 t))) x)) (pow x 3))) |
(* -1 (/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) x)) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) x)) (* y (+ t (* -1 t)))) x))) (pow x 3))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) x)) (+ (* -1 (/ (* (+ t (* -1 t)) (+ (* -1 (* y (pow (+ t (* -1 t)) 2))) (* y (+ (* -1 (pow t 2)) (pow t 2))))) x)) (/ (* (pow t 3) y) x))) (+ (* -1 (* y (pow (+ t (* -1 t)) 2))) (* y (+ (* -1 (pow t 2)) (pow t 2))))) x)) (* y (+ t (* -1 t)))) x))) (pow x 3))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(+ (* t x) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(pow t 2) |
(+ (* t x) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
| Outputs |
|---|
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(fma.f64 x (neg.f64 z) (fma.f64 t (fma.f64 (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) z) x)) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z) (-.f64 x (*.f64 x z))) |
(+ x (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) x))) |
(fma.f64 z (-.f64 (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) x) x) |
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(+.f64 (/.f64 y (*.f64 t (*.f64 t t))) (+.f64 (fma.f64 y (/.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 y #s(literal 0 binary64)) (pow.f64 t #s(literal 9 binary64)))) (/.f64 (*.f64 y #s(literal 0 binary64)) (pow.f64 t #s(literal 6 binary64))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ y (pow t 6))) (+ (* -1 (/ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) (pow t 9))) (* -1 (/ (* (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))) (+ (* -1 (pow t 2)) (pow t 2))) (pow t 3))))))) (+ (* -1 (/ (* y (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)) (pow t 9))) (/ (* y (+ t (* -1 t))) (pow t 6))))) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow t 6)))) (/ y (pow t 3))) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 y (/.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 9 binary64))) (fma.f64 (fma.f64 y (/.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 y #s(literal 0 binary64)) (pow.f64 t #s(literal 9 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 (neg.f64 y) (pow.f64 t #s(literal 6 binary64))))) (neg.f64 x) (fma.f64 y (/.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 y #s(literal 0 binary64)) (pow.f64 t #s(literal 9 binary64))))) (/.f64 (*.f64 y #s(literal 0 binary64)) (pow.f64 t #s(literal 6 binary64)))) (/.f64 y (*.f64 t (*.f64 t t)))) |
(* -1 (/ y (pow x 3))) |
(/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x)) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ t (* -1 t))) x))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (*.f64 y #s(literal 0 binary64)) x) y) (*.f64 x (*.f64 x x))) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (* -1 (pow t 2)) (pow t 2))) (* y (pow (+ t (* -1 t)) 2))) (pow x 2)))) (/ (* y (+ t (* -1 t))) x)) (pow x 3)) |
(/.f64 (fma.f64 y (/.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y #s(literal 0 binary64)) x) y)) (*.f64 x (*.f64 x x))) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* (+ t (* -1 t)) (+ (* y (+ (* -1 (pow t 2)) (pow t 2))) (* y (pow (+ t (* -1 t)) 2)))) (* (pow t 3) y))) (pow x 3)))) (+ (/ (* y (+ t (* -1 t))) x) (+ (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2)) (/ (* y (pow (+ t (* -1 t)) 2)) (pow x 2))))) (pow x 3)) |
(/.f64 (-.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) y) (*.f64 y #s(literal 0 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 y (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
(* -1 (/ y (pow x 3))) |
(/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x)) |
(* -1 (/ (+ y (/ (* y (+ t (* -1 t))) x)) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (*.f64 y #s(literal 0 binary64)) x) y) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) x)) (/ (* y (+ (* -1 (pow t 2)) (pow t 2))) x)) (* y (+ t (* -1 t)))) x))) (pow x 3))) |
(/.f64 (+.f64 y (/.f64 (fma.f64 y (/.f64 #s(literal 0 binary64) x) (*.f64 y (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))) x)) (*.f64 (*.f64 x (neg.f64 x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* (+ t (* -1 t)) (+ (* -1 (pow t 2)) (pow t 2)))) x)) (+ (* -1 (/ (* (+ t (* -1 t)) (+ (* -1 (* y (pow (+ t (* -1 t)) 2))) (* y (+ (* -1 (pow t 2)) (pow t 2))))) x)) (/ (* (pow t 3) y) x))) (+ (* -1 (* y (pow (+ t (* -1 t)) 2))) (* y (+ (* -1 (pow t 2)) (pow t 2))))) x)) (* y (+ t (* -1 t)))) x))) (pow x 3))) |
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 0 binary64) x) (fma.f64 t (*.f64 (*.f64 t t) (/.f64 y x)) (*.f64 y (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))) (neg.f64 x)) (*.f64 y #s(literal 0 binary64))) x)) (*.f64 (*.f64 x (neg.f64 x)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(pow x 2) |
(*.f64 x x) |
(+ (* t x) (pow x 2)) |
(*.f64 x (+.f64 x t)) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 x t)))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 x t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) t) x) t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) t) x) t))) |
(pow t 2) |
(*.f64 t t) |
(+ (* t x) (pow t 2)) |
(*.f64 t (+.f64 x t)) |
(+ (* x (+ t x)) (pow t 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(+ (* x (+ t x)) (pow t 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x)) (/.f64 (*.f64 t t) (*.f64 x x)))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x)) (/.f64 (*.f64 t t) (*.f64 x x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 t) (/.f64 (*.f64 t t) x)) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 t) (/.f64 (*.f64 t t) x)) x))) |
Compiled 30 442 to 2 962 computations (90.3% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 326 | 19 | 1 345 |
| Fresh | 7 | 14 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 336 | 39 | 1 375 |
| Status | Accuracy | Program |
|---|---|---|
| 62.2% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) z x) | |
| ✓ | 96.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| 43.8% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) z x) | |
| ✓ | 74.9% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
| 15.3% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 10.8% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 23.0% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 25.4% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 34.6% | (fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t t) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 12.5% | (fma.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 43.5% | (fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x) | |
| 53.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 y z)))) (+.f64 (neg.f64 t) x) x) | |
| 53.3% | (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 y z)) x) | |
| 28.2% | (fma.f64 (-.f64 (-.f64 t x) (/.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) z x) | |
| 61.3% | (fma.f64 (-.f64 t x) z x) | |
| 63.3% | (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (tanh.f64 (/.f64 x y)))) y) z x) | |
| 35.5% | (fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) y) z x) | |
| 6.8% | (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))))) y) z x) | |
| 49.4% | (fma.f64 (*.f64 (/.f64 t y) z) y x) | |
| 65.8% | (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) | |
| ✓ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 32.9% | (fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (/.f64 x y))))) y) z x) | |
| 22.2% | (fma.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) y) z x) | |
| 47.7% | (fma.f64 (*.f64 t y) (/.f64 z y) x) | |
| 55.2% | (fma.f64 (neg.f64 x) z x) | |
| 54.9% | (fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) | |
| ✓ | 54.7% | (fma.f64 t z x) |
| 12.0% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x (*.f64 t z)) (*.f64 (*.f64 t z) (*.f64 t z)))) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 (*.f64 x #s(literal 1 binary64)) z)) (*.f64 x x)) (fma.f64 z (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 x))) | |
| 53.3% | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y z))))) | |
| 54.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))) | |
| 55.9% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) | |
| 31.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) | |
| 47.7% | (*.f64 z (-.f64 (/.f64 x z) (-.f64 x t))) | |
| 27.5% | (*.f64 z (-.f64 t x)) | |
| ✓ | 13.4% | (*.f64 z t) |
| 17.1% | (*.f64 x (neg.f64 z)) | |
| ✓ | 58.4% | x |
Compiled 2 083 to 790 computations (62.1% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(fma.f64 t z x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
(*.f64 z (-.f64 (+.f64 t (/.f64 x z)) x)) |
(*.f64 z (-.f64 (/.f64 x z) (-.f64 x t))) |
(fma.f64 (*.f64 t y) (/.f64 z y) x) |
(fma.f64 (*.f64 (/.f64 t y) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x) |
(fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) |
(fma.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(fma.f64 (*.f64 t (*.f64 y z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 y z)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 y z)))) (+.f64 (neg.f64 t) x) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 t x)))))) |
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 (*.f64 x #s(literal 1 binary64)) z)) (*.f64 x x)) (fma.f64 z (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (-.f64 (-.f64 t x) (/.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t t) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x (*.f64 t z)) (*.f64 (*.f64 t z) (*.f64 t z)))) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (/.f64 x y))))) y) z x) |
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) z x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) z x) |
(fma.f64 (*.f64 z (-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 t) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) y)) (neg.f64 y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) y) z x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (tanh.f64 (/.f64 x y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (neg.f64 (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) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 z (-.f64 t x) x) |
5 calls:
| 88.0ms | t |
| 32.0ms | y |
| 24.0ms | x |
| 18.0ms | z |
| 18.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 98.7% | 2 | y |
| 96.4% | 1 | z |
| 96.4% | 1 | t |
| 98.6% | 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) |
(fma.f64 t z x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
(*.f64 z (-.f64 (+.f64 t (/.f64 x z)) x)) |
(*.f64 z (-.f64 (/.f64 x z) (-.f64 x t))) |
(fma.f64 (*.f64 t y) (/.f64 z y) x) |
(fma.f64 (*.f64 (/.f64 t y) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x) |
(fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) |
(fma.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(fma.f64 (*.f64 t (*.f64 y z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 y z)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 y z)))) (+.f64 (neg.f64 t) x) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 t x)))))) |
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 (*.f64 x #s(literal 1 binary64)) z)) (*.f64 x x)) (fma.f64 z (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (-.f64 (-.f64 t x) (/.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t t) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x (*.f64 t z)) (*.f64 (*.f64 t z) (*.f64 t z)))) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (/.f64 x y))))) y) z x) |
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) z x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) z x) |
(fma.f64 (*.f64 z (-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 t) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) y)) (neg.f64 y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) y) z x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 z (-.f64 t x) x) |
1 calls:
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(fma.f64 t z x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
(*.f64 z (-.f64 (+.f64 t (/.f64 x z)) x)) |
(*.f64 z (-.f64 (/.f64 x z) (-.f64 x t))) |
(fma.f64 (*.f64 t y) (/.f64 z y) x) |
(fma.f64 (*.f64 (/.f64 t y) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x) |
(fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) |
(fma.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(fma.f64 (*.f64 t (*.f64 y z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 y z)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 y z)))) (+.f64 (neg.f64 t) x) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 t x)))))) |
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 (*.f64 x #s(literal 1 binary64)) z)) (*.f64 x x)) (fma.f64 z (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (-.f64 (-.f64 t x) (/.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t t) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x (*.f64 t z)) (*.f64 (*.f64 t z) (*.f64 t z)))) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (/.f64 x y))))) y) z x) |
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) z x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) z x) |
(fma.f64 (*.f64 z (-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 t) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) y)) (neg.f64 y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) y) z x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| Outputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 z (-.f64 t x) x) |
2 calls:
| 30.0ms | y |
| 16.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 98.3% | 2 | y |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(fma.f64 t z x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
(*.f64 z (-.f64 (+.f64 t (/.f64 x z)) x)) |
(*.f64 z (-.f64 (/.f64 x z) (-.f64 x t))) |
(fma.f64 (*.f64 t y) (/.f64 z y) x) |
(fma.f64 (*.f64 (/.f64 t y) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x) |
(fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) |
(fma.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(fma.f64 (*.f64 t (*.f64 y z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 y z)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 y z)))) (+.f64 (neg.f64 t) x) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 t x)))))) |
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 (*.f64 x #s(literal 1 binary64)) z)) (*.f64 x x)) (fma.f64 z (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (-.f64 (-.f64 t x) (/.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t t) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x (*.f64 t z)) (*.f64 (*.f64 t z) (*.f64 t z)))) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (/.f64 x y))))) y) z x) |
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) z x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) z x) |
(fma.f64 (*.f64 z (-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 t) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) y)) (neg.f64 y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) y) z x) |
| Outputs |
|---|
x |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x) |
5 calls:
| 57.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 28.0ms | z |
| 27.0ms | t |
| 26.0ms | x |
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 82.8% | 3 | t |
| 81.8% | 3 | x |
| 80.5% | 4 | z |
| 83.6% | 2 | y |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(fma.f64 t z x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
(*.f64 z (-.f64 (+.f64 t (/.f64 x z)) x)) |
(*.f64 z (-.f64 (/.f64 x z) (-.f64 x t))) |
(fma.f64 (*.f64 t y) (/.f64 z y) x) |
(fma.f64 (*.f64 (/.f64 t y) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(fma.f64 (*.f64 (neg.f64 (/.f64 x y)) y) z x) |
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x) |
(fma.f64 x (fma.f64 t (/.f64 z x) (neg.f64 z)) x) |
(fma.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(fma.f64 (*.f64 t (*.f64 y z)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t (*.f64 y z)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 y z)))) (+.f64 (neg.f64 t) x) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y z))))) |
(+.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 t x)))))) |
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 (*.f64 x #s(literal 1 binary64)) z)) (*.f64 x x)) (fma.f64 z (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (-.f64 (-.f64 t x) (/.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t t) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x (*.f64 t z)) (*.f64 (*.f64 t z) (*.f64 t z)))) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (/.f64 x y))))) y) z x) |
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))))) y) z x) |
(fma.f64 (/.f64 (*.f64 y z) (/.f64 y (*.f64 (*.f64 (*.f64 t t) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 (/.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
| Outputs |
|---|
x |
(fma.f64 z (-.f64 t x) x) |
5 calls:
| 37.0ms | y |
| 15.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 13.0ms | t |
| 13.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | z |
| 71.0% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 67.6% | 3 | x |
| 69.5% | 3 | t |
| 76.6% | 2 | y |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(fma.f64 t z x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 (neg.f64 x) z x) |
| Outputs |
|---|
(*.f64 z (-.f64 t x)) |
x |
(*.f64 z (-.f64 t x)) |
2 calls:
| 3.0ms | y |
| 3.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 68.7% | 2 | y |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(fma.f64 t z x) |
(*.f64 x (neg.f64 z)) |
| Outputs |
|---|
(*.f64 x (neg.f64 z)) |
x |
(*.f64 x (neg.f64 z)) |
4 calls:
| 18.0ms | y |
| 2.0ms | t |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 3 | x |
| 64.5% | 3 | t |
| 65.2% | 2 | y |
| 67.2% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
x |
(*.f64 z t) |
(fma.f64 t z x) |
| Outputs |
|---|
x |
(fma.f64 t z x) |
2 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 2 | y |
| 60.1% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 24 to 16 computations (33.3% saved)
Total -35.4b remaining (-133.1%)
Threshold costs -35.4b (-133.1%)
| Inputs |
|---|
x |
(*.f64 z t) |
| Outputs |
|---|
x |
5 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.4% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 58.4% | 1 | x |
| 58.4% | 1 | t |
| 58.4% | 1 | z |
| 58.4% | 1 | y |
Compiled 39 to 28 computations (28.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 3.1320419013867553e+224 | 4.099021772565066e+229 |
| 30.0ms | 143× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 310 to 199 computations (35.8% saved)
ival-sub: 20.0ms (76.3% of total)ival-div: 2.0ms (7.6% of total)ival-mult: 2.0ms (7.6% of total)ival-add: 1.0ms (3.8% of total)ival-tanh: 1.0ms (3.8% 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 |
|---|---|---|
| 15.0ms | 3.1320419013867553e+224 | 4.099021772565066e+229 |
| 10.0ms | 143× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 292 to 190 computations (34.9% saved)
ival-div: 2.0ms (30.3% of total)ival-mult: 2.0ms (30.3% of total)ival-add: 1.0ms (15.1% of total)ival-tanh: 1.0ms (15.1% of total)ival-sub: 1.0ms (15.1% 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 |
|---|---|---|
| 38.0ms | 3.1320419013867553e+224 | 4.099021772565066e+229 |
| 34.0ms | 144× | 0 | valid |
Compiled 292 to 190 computations (34.9% saved)
ival-div: 25.0ms (84% of total)ival-mult: 2.0ms (6.7% of total)ival-sub: 1.0ms (3.4% of total)ival-add: 1.0ms (3.4% of total)ival-tanh: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.644288558113802e-88 | 6.907331137913414e-81 |
| 10.0ms | 140× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 220 to 154 computations (30% saved)
ival-div: 2.0ms (28.6% of total)ival-mult: 2.0ms (28.6% of total)ival-sub: 1.0ms (14.3% of total)ival-tanh: 1.0ms (14.3% of total)ival-add: 1.0ms (14.3% 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 |
|---|---|---|
| 25.0ms | 0.19069576199221278 | 768.3863623719493 |
| 21.0ms | 127× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 158 to 115 computations (27.2% saved)
ival-mult: 13.0ms (74.5% of total)ival-div: 2.0ms (11.5% of total)ival-sub: 1.0ms (5.7% of total)ival-add: 1.0ms (5.7% of total)ival-tanh: 1.0ms (5.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.433049229556459e+306 | +inf |
| 0.0ms | -inf | -5.270535784959506e+300 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.433049229556459e+306 | +inf |
| 0.0ms | -inf | -5.270535784959506e+300 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.196194868239379e-62 | 6.113342496330193e-62 |
| 5.0ms | 62× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 82 to 63 computations (23.2% saved)
ival-div: 1.0ms (32.1% of total)ival-mult: 1.0ms (32.1% of total)ival-tanh: 1.0ms (32.1% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 196 |
| 1 | 81 | 196 |
| 2 | 100 | 196 |
| 3 | 112 | 196 |
| 4 | 116 | 196 |
| 5 | 117 | 196 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 139999999999999991956142245889753844600689251822556417336472732084997361321633799613112880504400279105454232423398078268914241168278636207279637619507107038879034466299457385838375150895357654780198096054952783422048305714036736 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 32999999999999997803368620728392062956391616050738088912149155258710871768769058304877627301918304525504695569653064093273615769312637522400518453159029295557040137304764620950175647217994613015808765048134715105408914819121152 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 365000000000000012514914585748200297198455785943912610711092117694126708287422797991383813581281318444972109228150040887159064424932419659897405172117209015739374961019933952525714478357369943807804494817574197979198158536704 binary64)) (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 183729060881773/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) x (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x)) |
(if (<=.f64 y #s(literal 85 binary64)) x (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) x (*.f64 x (neg.f64 z)))) |
(if (<=.f64 y #s(literal 1736881338559743/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) x (fma.f64 t z x)) |
x |
| Outputs |
|---|
(if (<=.f64 y #s(literal 139999999999999991956142245889753844600689251822556417336472732084997361321633799613112880504400279105454232423398078268914241168278636207279637619507107038879034466299457385838375150895357654780198096054952783422048305714036736 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 139999999999999991956142245889753844600689251822556417336472732084997361321633799613112880504400279105454232423398078268914241168278636207279637619507107038879034466299457385838375150895357654780198096054952783422048305714036736 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) z x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 32999999999999997803368620728392062956391616050738088912149155258710871768769058304877627301918304525504695569653064093273615769312637522400518453159029295557040137304764620950175647217994613015808765048134715105408914819121152 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 32999999999999997803368620728392062956391616050738088912149155258710871768769058304877627301918304525504695569653064093273615769312637522400518453159029295557040137304764620950175647217994613015808765048134715105408914819121152 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 365000000000000012514914585748200297198455785943912610711092117694126708287422797991383813581281318444972109228150040887159064424932419659897405172117209015739374961019933952525714478357369943807804494817574197979198158536704 binary64)) (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 y #s(literal 183729060881773/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) x (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (neg.f64 x)) z x)) |
(if (<=.f64 y #s(literal 85 binary64)) x (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal -inf.0 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) x (*.f64 z (-.f64 t x)))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) x (*.f64 x (neg.f64 z)))) |
(if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal -inf.0 binary64)) (neg.f64 (*.f64 x z)) (if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) x (neg.f64 (*.f64 x z)))) |
(if (<=.f64 y #s(literal 1736881338559743/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) x (fma.f64 t z x)) |
x |
| 16 898× | accelerator-lowering-fma.f32 |
| 16 898× | accelerator-lowering-fma.f64 |
| 15 022× | accelerator-lowering-fma.f32 |
| 15 022× | accelerator-lowering-fma.f64 |
| 13 022× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 788 | 20446 |
| 1 | 2618 | 15756 |
| 0 | 9220 | 15364 |
| 0 | 23 | 131 |
| 1 | 176 | 131 |
| 2 | 1731 | 131 |
| 0 | 8106 | 127 |
| 0 | 12 | 44 |
| 1 | 91 | 44 |
| 2 | 863 | 44 |
| 0 | 8202 | 43 |
| 0 | 703 | 7355 |
| 1 | 2359 | 6154 |
| 0 | 9312 | 5928 |
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6277 | 7212 |
| 0 | 9374 | 7079 |
| 0 | 881 | 12619 |
| 1 | 2925 | 10629 |
| 0 | 9192 | 10366 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 520 to 252 computations (51.5% saved)
Compiled 550 to 192 computations (65.1% saved)
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