
Time bar (total: 10.7s)
| 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)
| 734.0ms | 8 037× | 0 | valid |
| 34.0ms | 219× | 1 | valid |
ival-div: 204.0ms (37.9% of total)ival-mult: 125.0ms (23.2% of total)ival-tanh: 118.0ms (21.9% of total)ival-sub: 40.0ms (7.4% of total)ival-add: 38.0ms (7.1% of total)ival-true: 6.0ms (1.1% of total)adjust: 4.0ms (0.7% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 10 | 0 | - | 0 | - | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 t y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 x y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 t y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*o | 7 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 1 | 0 |
| ↳ | (*.f64 y z) | overflow | 21 | |
| ↳ | (/.f64 t y) | underflow | 34 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 55 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 27 | |
| ↳ | (/.f64 x y) | underflow | 27 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 34 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 9 | 0 |
| - | 0 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 9 | 0 | 0 |
| - | 0 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 414× | 0 | valid |
| 20.0ms | 84× | 2 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 139 to 40 computations (71.2% saved)
ival-div: 10.0ms (27% of total)ival-tanh: 9.0ms (24.3% of total)ival-mult: 7.0ms (18.9% of total)ival-sub: 3.0ms (8.1% of total)adjust: 3.0ms (8.1% of total)ival-add: 3.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 226 |
| 1 | 399 | 224 |
| 2 | 1184 | 210 |
| 3 | 4721 | 210 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 62 | 15 |
| 2 | 165 | 15 |
| 3 | 427 | 15 |
| 4 | 1658 | 15 |
| 5 | 6383 | 15 |
| 0 | 8408 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(abs y)
Compiled 19 to 12 computations (36.8% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (+.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× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1658 | 58 |
| 5 | 6383 | 58 |
| 0 | 8408 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| accuracy | 0.01171875 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 2.4487306228048586 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 45.0ms | 42× | 2 | valid |
| 18.0ms | 207× | 0 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 5.0ms (28% of total)ival-mult: 4.0ms (22.4% of total)ival-tanh: 3.0ms (16.8% of total)ival-sub: 2.0ms (11.2% of total)adjust: 2.0ms (11.2% of total)ival-add: 2.0ms (11.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y))) |
| 8.0ms | y | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y))) |
| 6.0ms | z | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y))) |
| 4.0ms | t | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y))) |
| 3.0ms | x | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y))) |
| 1× | egg-herbie |
| 10 022× | lower-fma.f64 |
| 10 022× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
| 3 896× | lower-*.f32 |
| 3 590× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6263 | 7212 |
| 0 | 9365 | 7079 |
| 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)))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (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))))) |
| 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 t z)) |
(+ (* 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t)) |
(+ (* 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 t y) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (*.f64 (*.f64 y y) y))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* 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)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 5 binary64)))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(fma.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
| 5 094× | lower-*.f32 |
| 5 090× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 098× | lower-/.f64 |
| 2 936× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8208 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #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 z y) (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 z y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 z y))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 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 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 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 (neg.f64 x) 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 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) |
(/.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 (neg.f64 x) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.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) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.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)))) |
(neg.f64 (neg.f64 (tanh.f64 (/.f64 x y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) |
(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 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) |
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
Compiled 20 445 to 1 579 computations (92.3% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 432 | 10 | 442 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 433 | 10 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 96.6% | (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) | |
| 41.3% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (*.f64 y y)) x)) y))))) | |
| ▶ | 69.4% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ▶ | 52.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ▶ | 27.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))) |
| 24.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z)))) | |
| 61.4% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) | |
| ▶ | 61.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 27.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
Compiled 510 to 284 computations (44.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| cost-diff | 64 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) | |
| cost-diff | 192 | (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) | |
| cost-diff | 512 | (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) | |
| cost-diff | 1024 | (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 (-.f64 t x) z x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) | |
| 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))) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 12 510× | lower-fma.f32 |
| 12 498× | lower-fma.f64 |
| 5 932× | lower-+.f32 |
| 5 926× | lower-+.f64 |
| 4 848× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 494 |
| 0 | 86 | 488 |
| 1 | 176 | 448 |
| 2 | 387 | 418 |
| 3 | 1007 | 412 |
| 4 | 3219 | 411 |
| 0 | 8101 | 403 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))) |
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) |
(-.f64 t x) |
t |
z |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 t t) t) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(/.f64 z y) |
y |
#s(literal 0 binary64) |
(neg.f64 y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) (*.f64 y y))))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) (*.f64 y y))))) |
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) |
(*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) (*.f64 y y)))) |
(-.f64 t x) |
t |
z |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 y y)) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) |
(*.f64 (/.f64 z y) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 t t) t) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(/.f64 z y) |
y |
#s(literal 0 binary64) |
(neg.f64 y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| accuracy | 0.01171875 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 2.4487306228048586 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) | |
| accuracy | 30.156309828899946 | #s(approx (tanh (/ x y)) (/.f64 x y)) | |
| accuracy | 4.597593811532197 | (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) | |
| accuracy | 11.040475553345793 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) | |
| accuracy | 17.062390596480203 | (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) | |
| accuracy | 40.398218426483176 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| accuracy | 2.4487306228048586 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| accuracy | 39.37804137773927 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 t x) z x) | |
| accuracy | 24.70933630752676 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) | |
| accuracy | 0.00390625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.01171875 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.3047849555869142 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) | |
| accuracy | 1.2434936924930209 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 232.0ms | 207× | 0 | valid |
| 31.0ms | 43× | 2 | valid |
| 4.0ms | 5× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 400 to 41 computations (89.8% saved)
ival-mult: 136.0ms (77.3% of total)ival-div: 11.0ms (6.3% of total)ival-add: 9.0ms (5.1% of total)const: 7.0ms (4% of total)adjust: 6.0ms (3.4% of total)ival-sub: 3.0ms (1.7% of total)ival-tanh: 3.0ms (1.7% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ()) |
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) (patch (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 167.0ms | t | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y))) |
| 146.0ms | z | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y))) |
| 13.0ms | z | @ | 0 | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y))) |
| 6.0ms | z | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y))) |
| 5.0ms | y | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y))) |
| 1× | egg-herbie |
| 13 766× | lower-fma.f64 |
| 13 766× | lower-fma.f32 |
| 5 708× | lower-+.f64 |
| 5 708× | lower-+.f32 |
| 5 590× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 778 | 38443 |
| 1 | 2635 | 29277 |
| 0 | 8859 | 28532 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
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(/ t y) |
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(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(* -1/3 (/ (* (pow x 3) z) y)) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
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))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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))))))) |
(/ (- (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))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (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))))) |
| 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z) |
(+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 t (/.f64 z y))) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ 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 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 (*.f64 y y) y)) (/.f64 z y)) t)) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ 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 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 5 binary64))) (*.f64 (/.f64 z (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64))) (*.f64 t t) (/.f64 z y)) t)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 t y) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* 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)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(+ 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(* -1 x) |
(neg.f64 x) |
(- t x) |
(-.f64 t x) |
(- t x) |
(-.f64 t x) |
(- t x) |
(-.f64 t x) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
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(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
| 4 158× | lower-/.f32 |
| 4 148× | lower-/.f64 |
| 3 556× | lower-*.f32 |
| 3 536× | lower-*.f64 |
| 3 086× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 351 |
| 0 | 84 | 321 |
| 1 | 339 | 321 |
| 2 | 2958 | 321 |
| 0 | 8148 | 314 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)) |
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
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(-.f64 (/.f64 (*.f64 t (/.f64 y x)) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))) |
(-.f64 (/.f64 (*.f64 t y) (*.f64 y y)) (/.f64 (*.f64 y x) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 t t) (*.f64 y (+.f64 x t))) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x t)))) |
(-.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t)))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))))) |
(-.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 x t)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 x t)) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t t) t) (fma.f64 x (+.f64 x t) (*.f64 t t))) y) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x t) (*.f64 t t))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 (-.f64 t x)) y)) |
(-.f64 (/.f64 t y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 t y) (/.f64 x (neg.f64 y))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) z) (*.f64 (neg.f64 y) y)))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
Compiled 70 490 to 3 822 computations (94.6% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 638 | 27 | 1 665 |
| Fresh | 4 | 1 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 645 | 30 | 1 675 |
| Status | Accuracy | Program |
|---|---|---|
| 69.4% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) | |
| ✓ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 64.4% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) | |
| ▶ | 52.8% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
| 52.4% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 57.9% | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) | |
| 32.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))) | |
| ▶ | 96.6% | (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
| 38.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 27.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 38.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y)))) | |
| 51.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 52.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) | |
| 52.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 53.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 33.2% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))))))) | |
| 22.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) | |
| ▶ | 27.5% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
| 25.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) | |
| 32.2% | (*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))) | |
| 26.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x)) | |
| ✓ | 61.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 41.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) | |
| 53.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x)) | |
| 33.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) | |
| ▶ | 35.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
| 23.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| 57.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) | |
| ▶ | 14.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
Compiled 1 243 to 631 computations (49.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 t x) z x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| cost-diff | 2752 | (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) | |
| cost-diff | 0 | (/.f64 (-.f64 t x) y) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 t z)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 128 | (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) | |
| cost-diff | 1088 | (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 11 472× | lower-fma.f32 |
| 11 466× | lower-fma.f64 |
| 4 750× | lower-*.f32 |
| 4 730× | lower-*.f64 |
| 3 152× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 515 |
| 0 | 101 | 527 |
| 1 | 212 | 442 |
| 2 | 528 | 418 |
| 3 | 1658 | 412 |
| 4 | 7528 | 412 |
| 0 | 8179 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
x |
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
#s(literal 1 binary64) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 t z)) |
(*.f64 t z) |
t |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 t t) t) |
(*.f64 t t) |
t |
#s(literal -1/3 binary64) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(fma.f64 (-.f64 t x) z (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
x |
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
#s(literal 1 binary64) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 t z)) |
(*.f64 t z) |
t |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y))))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y))))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) t) z) t) (/.f64 t (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) |
(*.f64 (*.f64 t t) t) |
(*.f64 t t) |
t |
#s(literal -1/3 binary64) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
(fma.f64 (-.f64 t x) z x) |
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) |
(*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(fma.f64 (-.f64 t x) z (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) | |
| accuracy | 0.4808199359959947 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) | |
| accuracy | 18.374349853921906 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| accuracy | 23.65550547993541 | (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) | |
| accuracy | 6.238326580438904 | (/.f64 z (*.f64 y y)) | |
| accuracy | 11.096204241960699 | (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) | |
| accuracy | 28.360025900847404 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) | |
| accuracy | 31.245173017700886 | #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.3047849555869142 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) | |
| accuracy | 1.2434936924930209 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) | |
| accuracy | 27.34528546981788 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 18.374349853921906 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) | |
| accuracy | 28.925254039487914 | #s(approx (+ (* (- t x) z) x) (*.f64 t z)) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) | |
| accuracy | 0.01171875 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| accuracy | 2.4370118728048586 | (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 101.0ms | 207× | 0 | valid |
| 48.0ms | 49× | 3 | exit |
Compiled 349 to 57 computations (83.7% saved)
ival-mult: 42.0ms (40.9% of total)ival-div: 19.0ms (18.5% of total)ival-add: 12.0ms (11.7% of total)adjust: 11.0ms (10.7% of total)const: 9.0ms (8.8% of total)ival-tanh: 4.0ms (3.9% of total)ival-sub: 3.0ms (2.9% of total)ival-neg: 2.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (patch (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) (patch (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) (patch (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) (patch (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) (patch (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (*.f64 y y)) (patch (/.f64 z (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (patch (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (patch (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (patch (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (patch (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (* y (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2)))) (/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ t (* (pow y 2) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 3))) (/ 1 (* y (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2))))) (/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* t (+ (* t (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2)))) (/ 1 (* (pow y 3) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 4))))) (/ 1 (* (pow y 2) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 3))))) (/ 1 (* y (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2))))) (/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) (pow z 3)) (* x (pow (+ 1 z) 4))) (* -1 (/ (* (pow t 2) (pow z 2)) (pow (+ 1 z) 3)))) x)) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | t | @ | inf | ((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x)))) |
| 8.0ms | t | @ | -inf | ((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x)))) |
| 8.0ms | z | @ | -inf | ((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x)))) |
| 8.0ms | y | @ | -inf | ((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x)))) |
| 6.0ms | y | @ | inf | ((/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (/ (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))))) (* z y) (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (* (* t t) t) -1/3) (/ z (* y y))) (* (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (/ 1 (+ (* (- t x) z) (neg x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (+ (* (- t x) z) x) (- (tanh (/ t y)) (tanh (/ x y))) (/ z (* y y)) (/ 1 (+ (* (- t x) z) (neg x)))) |
| 1× | egg-herbie |
| 8 420× | lower-fma.f64 |
| 8 420× | lower-fma.f32 |
| 6 548× | lower-*.f64 |
| 6 548× | lower-*.f32 |
| 4 840× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1137 | 39296 |
| 1 | 3790 | 34445 |
| 0 | 9171 | 33524 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ 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)))))))))) |
(/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* -1 (/ t (* y (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2)))) (/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (- (/ t (* (pow y 2) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 3))) (/ 1 (* y (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2))))) (/ 1 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (- (* t (+ (* t (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2)))) (/ 1 (* (pow y 3) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 4))))) (/ 1 (* (pow y 2) (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 3))))) (/ 1 (* y (pow (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) 2))))) (/ 1 (- (/ 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 (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(+ 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)))))))))) |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
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(* -1 (* x (- z 1))) |
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(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)))))))) |
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(* -1 (/ x y)) |
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(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
x |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -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))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
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x |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* (pow x 2) (* (+ 1 z) (- z 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* t (* z (+ 1 z))) (* t (* z (- z 1)))) x)) (* (+ 1 z) (- z 1)))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ -1 (* x (+ 1 z))) |
(* -1 (/ (+ (/ 1 (+ 1 z)) (/ (* t z) (* x (pow (+ 1 z) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow t 2) (pow z 2)) (* x (pow (+ 1 z) 3)))) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) (pow z 3)) (* x (pow (+ 1 z) 4))) (* -1 (/ (* (pow t 2) (pow z 2)) (pow (+ 1 z) 3)))) x)) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x)) |
| Outputs |
|---|
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(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) (*.f64 (*.f64 x x) x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) (*.f64 t z)) (*.f64 (*.f64 x x) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) (*.f64 t z)) (*.f64 (*.f64 x x) x)))) |
(* -1 (* x (- z 1))) |
(-.f64 x (*.f64 x z)) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* (pow x 2) (* (+ 1 z) (- z 1))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* t (* z (+ 1 z))) (* t (* z (- z 1)))) x)) (* (+ 1 z) (- z 1)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 z #s(literal 1 binary64)) z))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (+ (* t (* z (+ 1 z))) (* t (* z (- z 1))))) x)) (* (+ 1 z) (- z 1)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (*.f64 z z) x) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 z #s(literal 1 binary64)) z)))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (+ (* t (* z (+ 1 z))) (* t (* z (- z 1))))) x)) (* (+ 1 z) (- z 1)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (*.f64 z z) x) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 z #s(literal 1 binary64)) z)))) (neg.f64 x))) (*.f64 x x)) |
(* -1 (* x (- z 1))) |
(-.f64 x (*.f64 x z)) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(fma.f64 (-.f64 z (/.f64 (*.f64 t z) x)) (neg.f64 x) x) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ -1 (* x (+ 1 z))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x z x)) |
(* -1 (/ (+ (/ 1 (+ 1 z)) (/ (* t z) (* x (pow (+ 1 z) 2)))) x)) |
(/.f64 (fma.f64 t (/.f64 z (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow t 2) (pow z 2)) (* x (pow (+ 1 z) 3)))) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) x)) (/.f64 (*.f64 t z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) (pow z 3)) (* x (pow (+ 1 z) 4))) (* -1 (/ (* (pow t 2) (pow z 2)) (pow (+ 1 z) 3)))) x)) (/ (* t z) (pow (+ 1 z) 2))) x)) (/ 1 (+ 1 z))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 t t) t) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)) x)) (/.f64 (*.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)))) (neg.f64 x)) (/.f64 (*.f64 t z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) x)) (neg.f64 x)) |
| 3 956× | lower-*.f32 |
| 3 948× | lower-/.f32 |
| 3 936× | lower-*.f64 |
| 3 934× | lower-/.f64 |
| 3 254× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 448 |
| 0 | 101 | 428 |
| 1 | 400 | 370 |
| 2 | 3565 | 370 |
| 0 | 8840 | 361 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(*.f64 z y) |
(/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 t z)) |
(*.f64 t z) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y))) |
(*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(/.f64 z (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (neg.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) |
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y) |
(*.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)) |
(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal -1 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))) (*.f64 y z))) (neg.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) y))) (/.f64 #s(literal -1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t 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))) (*.f64 y z)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(/.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.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)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(neg.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(*.f64 (fma.f64 (*.f64 x 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 (*.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 x x)))) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.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 (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))) |
(/.f64 (neg.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 (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x 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 (*.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 x 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)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x 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 (*.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 x 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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (fma.f64 (*.f64 x 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 (*.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 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (*.f64 x x)) (fma.f64 (*.f64 x 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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (*.f64 x x)) (fma.f64 (*.f64 x 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 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (neg.f64 (-.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))) y) z x) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.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) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 y (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x) |
(fma.f64 y (*.f64 (-.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) |
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(*.f64 (pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(literal -1 binary64))) |
Compiled 59 563 to 3 044 computations (94.9% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 431 | 15 | 1 446 |
| Fresh | 5 | 18 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 438 | 38 | 1 476 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
| ✓ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 64.4% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) | |
| 35.5% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) z) y x) | |
| 28.2% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x) | |
| 52.8% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x) | |
| 52.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) | |
| 52.6% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) | |
| 52.4% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| ▶ | 57.9% | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
| 32.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x))))) | |
| ✓ | 96.6% | (+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
| 53.3% | (+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x))))) | |
| 38.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 38.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y)))) | |
| 51.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 52.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 53.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 33.2% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))))))) | |
| 35.6% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y)))) | |
| ▶ | 22.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
| ✓ | 27.5% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
| ▶ | 25.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
| 26.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x)) | |
| ✓ | 61.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 41.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) | |
| 53.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x)) | |
| 10.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z))))) | |
| 35.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 27.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 6.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 6.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 28.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 25.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 23.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| ▶ | 57.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
| ✓ | 14.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
Compiled 1 584 to 812 computations (48.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) | |
| cost-diff | 128 | (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) | |
| cost-diff | 128 | (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) | |
| cost-diff | 0 | #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) | |
| cost-diff | 128 | (neg.f64 (-.f64 t x)) | |
| cost-diff | 128 | (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
| 7 066× | lower-fma.f32 |
| 7 060× | lower-fma.f64 |
| 4 344× | lower-*.f32 |
| 4 322× | lower-*.f64 |
| 2 986× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 731 |
| 0 | 112 | 719 |
| 1 | 252 | 653 |
| 2 | 637 | 604 |
| 3 | 1920 | 592 |
| 4 | 6678 | 592 |
| 0 | 8214 | 581 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) |
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) |
(neg.f64 (-.f64 t x)) |
(-.f64 t x) |
t |
x |
(neg.f64 z) |
z |
y |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) |
(neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) |
(*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) |
z |
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
(*.f64 y y) |
y |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) |
#s(literal 1/3 binary64) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
(/.f64 z (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (*.f64 (/.f64 (-.f64 t x) y) z)) y x) |
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) |
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (*.f64 (/.f64 (-.f64 t x) y) z)) |
(/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) |
(*.f64 (/.f64 (-.f64 t x) y) z) |
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) |
(*.f64 (-.f64 t x) z) |
(neg.f64 (-.f64 t x)) |
(-.f64 x t) |
(-.f64 t x) |
t |
x |
(neg.f64 z) |
z |
y |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z)) |
(neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) z) |
(*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) z) |
z |
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
(*.f64 y y) |
y |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x) x) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) |
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) |
#s(literal 1/3 binary64) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
(/.f64 z (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.524311554707024 | (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) | |
| accuracy | 13.163794489216437 | (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) | |
| accuracy | 28.901015978224212 | #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) | |
| accuracy | 40.398218426483176 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) | |
| accuracy | 2.3702103415780287 | (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) | |
| accuracy | 16.033320773244483 | (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) | |
| accuracy | 28.901015978224212 | #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) | |
| accuracy | 40.398218426483176 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) | |
| accuracy | 0.01171875 | (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) | |
| accuracy | 1.2434936924930209 | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) | |
| accuracy | 4.241767339864254 | (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) | |
| accuracy | 39.18740953032113 | #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| accuracy | 24.70933630752676 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) | |
| accuracy | 25.08816964926061 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| accuracy | 0 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 2.1742289172757023 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) | |
| accuracy | 30.156309828899946 | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 123.0ms | 207× | 0 | valid |
| 59.0ms | 43× | 2 | valid |
| 6.0ms | 5× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 419 to 66 computations (84.2% saved)
ival-mult: 54.0ms (35.3% of total)ival-add: 29.0ms (19% of total)ival-neg: 26.0ms (17% of total)ival-div: 17.0ms (11.1% of total)const: 10.0ms (6.5% of total)adjust: 9.0ms (5.9% of total)ival-sub: 4.0ms (2.6% of total)ival-tanh: 3.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) (patch (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 t x)) (patch (neg.f64 (-.f64 t x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) (patch (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) (patch #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) (patch (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) (patch (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) #<representation binary64>) () ()) |
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#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) (patch (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) (patch #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) (patch (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (patch (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
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#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
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#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) (patch (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) (patch (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) (patch (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) (patch (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 t) (#s(alt (neg.f64 (-.f64 t x)) (patch (neg.f64 (-.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 t)) (taylor 0 t) (#s(alt (neg.f64 (-.f64 t x)) (patch (neg.f64 (-.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 t)) (taylor 0 t) (#s(alt (neg.f64 (-.f64 t x)) (patch (neg.f64 (-.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 t)) (taylor 0 t) (#s(alt (neg.f64 (-.f64 t x)) (patch (neg.f64 (-.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) (patch (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) (patch (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) (patch (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) (patch (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) (patch #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) (taylor 0 t) (#s(alt #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) (patch #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) (patch #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | 0 | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x)) |
| 16.0ms | z | @ | -inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x)) |
| 8.0ms | z | @ | inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x)) |
| 7.0ms | x | @ | -inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x)) |
| 6.0ms | x | @ | inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (* (neg (- t x)) (neg z)) (neg (- t x)) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (neg (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y))))) (+ x (/ (* (* -1/3 x) (* x x)) (* y y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (* (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (* x x)) (tanh (/ x y)) (/ (* (neg (- t x)) (neg z)) y) (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/ (* (* -1/3 x) (* x x)) (* y y)) (* z (+ x (/ (* (* -1/3 x) (* x x)) (* y y)))) (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x)) |
| 1× | egg-herbie |
| 14 176× | lower-fma.f64 |
| 14 176× | lower-fma.f32 |
| 5 722× | lower-+.f64 |
| 5 722× | lower-+.f32 |
| 5 540× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 807 | 35239 |
| 1 | 2719 | 27459 |
| 0 | 8998 | 26731 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
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(/ t y) |
(/ t y) |
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x |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -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 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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))))))) |
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))) |
(* -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))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
x |
(* -1 (* x (- (/ t x) 1))) |
(* -1 (* x (- (/ t x) 1))) |
(* -1 (* x (- (/ t x) 1))) |
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))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) |
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))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(/ (- (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))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(* -1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) |
(* 1/3 (/ (* x z) (pow y 2))) |
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
| 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 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) 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 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z 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 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t 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 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 t y) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* 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)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) 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 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z 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)))))))))) |
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(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 x) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) x) (neg.f64 x) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x)))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) |
(*.f64 (fma.f64 (neg.f64 t) (/.f64 z (*.f64 y x)) (/.f64 z y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) |
(*.f64 (fma.f64 (neg.f64 t) (/.f64 z (*.f64 y x)) (/.f64 z y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (* t z) (* x y))) (/ z y)))) |
(*.f64 (fma.f64 (neg.f64 t) (/.f64 z (*.f64 y x)) (/.f64 z y)) (neg.f64 x)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) (*.f64 t z)) (*.f64 (*.f64 x x) x)))) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64)) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64)) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64)) |
(* -1/3 (/ (pow x 3) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/3 binary64)) |
(* -1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x)))) |
(* 1/3 (/ (* x z) (pow y 2))) |
(*.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
(* -1 (* x (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
| 4 780× | lower-*.f32 |
| 4 758× | lower-*.f64 |
| 3 976× | lower-fma.f32 |
| 3 970× | lower-fma.f64 |
| 3 494× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 649 |
| 0 | 112 | 579 |
| 1 | 473 | 573 |
| 2 | 4177 | 573 |
| 0 | 8399 | 552 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) |
(neg.f64 (-.f64 t x)) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
#s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) |
(neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))) |
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)) |
(*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 z y) x))))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (neg.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))))) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t 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 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y)))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y)))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #s(approx (tanh (/ x y)) (/.f64 x y))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(+.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(tanh.f64 (/.f64 t y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))))) |
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(*.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x)) |
(*.f64 x (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) x)) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (/.f64 z (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 z) y) (neg.f64 (-.f64 t x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 t x) (/.f64 (neg.f64 z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 (-.f64 t x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) (neg.f64 (-.f64 t x)))) |
(*.f64 (*.f64 (neg.f64 z) (-.f64 t x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 (-.f64 t x)) y)) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 (-.f64 t x)) (/.f64 (neg.f64 z) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 z) y) (neg.f64 (-.f64 t x)))) |
(pow.f64 (/.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) (-.f64 t x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) (-.f64 t x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 t x)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 t x))) #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) (-.f64 t x))))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 t x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 t x))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) (-.f64 t x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) (-.f64 t x)))) |
(neg.f64 (*.f64 (-.f64 t x) (/.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 t x))) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 t x)) y)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 z) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) (-.f64 t x)))) #s(literal -1 binary64))) |
#s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y)) x) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 y #s(literal -1/3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) y) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) x) y)) |
(*.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x y))) |
(*.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 y y))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x (/.f64 x (*.f64 y y)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (/.f64 x (*.f64 y y))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y))))) |
(pow.f64 (/.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) (*.f64 x x)) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x y)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (neg.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y)) x) z) |
(*.f64 z (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y)) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (*.f64 (*.f64 y y) (*.f64 y y)))) z) (-.f64 x (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) x) (*.f64 x x))) |
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (*.f64 (*.f64 y y) (*.f64 y y))))) (-.f64 x (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 x x) x (/.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))))) (-.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 z x) (*.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 z x) (*.f64 z x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)))) (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))))))) |
(fma.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) (*.f64 x (/.f64 x y)) (*.f64 z x)) |
(fma.f64 (*.f64 z (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 z x)) |
(fma.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 z x)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) (*.f64 (*.f64 x (/.f64 x y)) z) (*.f64 z x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) z (*.f64 z x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)) (*.f64 z x)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) z) (*.f64 z x)) |
(fma.f64 z (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 x (*.f64 y y))) (*.f64 z x)) |
(fma.f64 z x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)))) |
(fma.f64 x z (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y))) (*.f64 z x)) |
(+.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 z (*.f64 y y)))) |
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))) x) |
(*.f64 x (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (/.f64 z (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) x)))) x) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (/.f64 z (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) x))))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 z (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 #s(literal 1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x (*.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x)) |
(fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x)) |
(fma.f64 x (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 x (/.f64 z (*.f64 (neg.f64 x) x)))) |
(fma.f64 x (/.f64 z (*.f64 (neg.f64 x) x)) (*.f64 x (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x) (*.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x)) |
(+.f64 (*.f64 (/.f64 z (*.f64 (neg.f64 x) x)) x) (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x)) |
(+.f64 (*.f64 x (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64))) (*.f64 x (/.f64 z (*.f64 (neg.f64 x) x)))) |
(+.f64 (*.f64 x (/.f64 z (*.f64 (neg.f64 x) x))) (*.f64 x (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)))) |
Compiled 43 867 to 2 102 computations (95.2% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 290 | 7 | 1 297 |
| Fresh | 3 | 25 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 1 297 | 38 | 1 335 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.4% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
| 69.4% | (fma.f64 (-.f64 (tanh.f64 (/.f64 #s(literal 1 binary64) (/.f64 y t))) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) | |
| ✓ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 64.4% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) | |
| 35.5% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) z) y x) | |
| 28.2% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x) | |
| 52.8% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x) | |
| 52.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) | |
| 52.6% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) | |
| 52.4% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 56.0% | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x) | |
| 50.9% | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x) | |
| 32.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x))))) | |
| 53.3% | (+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x))))) | |
| 38.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 38.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y)))) | |
| 51.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 52.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 53.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| ✓ | 22.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
| 28.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x))))) | |
| 35.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) x)))))) | |
| 26.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x)) | |
| ✓ | 61.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 41.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) | |
| 53.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x)) | |
| 10.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z))))) | |
| 35.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 27.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 6.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 6.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 28.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) | |
| 23.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| ✓ | 57.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
| 12.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) | |
| 63.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) | |
| ✓ | 14.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
Compiled 1 940 to 653 computations (66.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x))))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 #s(literal 1 binary64) (/.f64 y t))) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (*.f64 y y)) x)) y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (-.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))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
5 calls:
| 19.0ms | z |
| 18.0ms | t |
| 18.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 17.0ms | y |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 99.6% | 2 | y |
| 97.7% | 1 | z |
| 97.7% | 1 | t |
| 97.7% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x))))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 #s(literal 1 binary64) (/.f64 y t))) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (*.f64 y y)) x)) y))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
5 calls:
| 44.0ms | t |
| 35.0ms | y |
| 18.0ms | x |
| 18.0ms | z |
| 15.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 3 | x |
| 75.3% | 3 | z |
| 81.6% | 4 | t |
| 80.2% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 84.3% | 3 | y |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x))))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
2 calls:
| 17.0ms | y |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | x |
| 82.1% | 3 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) #s(approx (/ (* (neg (- t x)) (neg z)) y) (*.f64 t (/.f64 z y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 #s(approx (* (neg (- t x)) (neg z)) (*.f64 (neg.f64 x) z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (neg.f64 (-.f64 t x)) (neg.f64 z)) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
(+.f64 x (/.f64 (*.f64 z y) #s(approx (/ 1 (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 y (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (*.f64 z z) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (neg.f64 (*.f64 z (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)) (*.f64 y y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t)) z) y) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) #s(approx (/ 1 (+ (* (- t x) z) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z #s(approx (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 #s(approx (* (+ (* 1/3 (/ z (* y y))) (/ z (* (neg x) x))) x) (fma.f64 (*.f64 x (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) x))) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) z) y x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (+ (* (- t x) z) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* (* t t) t) 1/3) (* 1/6 (* (* x x) x)))) (/ z y)) 0) (neg y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))) x) (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)))) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) z (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) z))) x (*.f64 (*.f64 z z) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 #s(approx (* (+ (* (- t x) z) x) (+ (* (- t x) z) (neg x))) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (neg.f64 (fma.f64 x z x)))) t (*.f64 (neg.f64 (fma.f64 x z x)) (-.f64 x (*.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (/.f64 z (*.f64 y y)) (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))) (*.f64 (fma.f64 (-.f64 t x) z (neg.f64 x)) (fma.f64 (-.f64 t x) z x))) (fma.f64 (-.f64 t x) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) z (neg.f64 x))))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x)) (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
1 calls:
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
4 calls:
| 29.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 2 | z |
| 68.0% | 3 | t |
| 71.9% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 71.4% | 3 | y |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
3 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 2 | y |
| 63.9% | 1 | x |
| 68.5% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 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 |
|---|---|---|
| 68.5% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 63.9% | 1 | y |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
2 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 1 | t |
| 67.4% | 3 | (+.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 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.7% | 1 | t |
| 14.7% | 1 | x |
| 14.7% | 1 | y |
| 14.7% | 1 | z |
| 14.7% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.721746073681769e+203 | 4.0907170418145595e+206 |
| 9.0ms | 128× | 0 | valid |
Compiled 270 to 171 computations (36.7% saved)
ival-div: 2.0ms (35% of total)ival-mult: 2.0ms (35% of total)ival-sub: 1.0ms (17.5% of total)ival-add: 1.0ms (17.5% of total)ival-tanh: 1.0ms (17.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 9.034408820069416e+129 | 3.477338811172815e+138 |
| 7.0ms | 5.724785108302807e-146 | 8.09269972176798e-146 |
| 17.0ms | 204× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 421 to 253 computations (39.9% saved)
ival-div: 3.0ms (25.1% of total)ival-sub: 3.0ms (25.1% of total)ival-mult: 3.0ms (25.1% of total)ival-tanh: 2.0ms (16.7% of total)ival-add: 1.0ms (8.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 8.75418749924942e+170 | 3.892029875787237e+171 |
| 13.0ms | 261551.77324232648 | 1536435.6214831746 |
| 16.0ms | 189× | 0 | valid |
| 1.0ms | 3× | 1 | valid |
Compiled 388 to 235 computations (39.4% saved)
ival-div: 3.0ms (34.1% of total)ival-mult: 3.0ms (34.1% of total)ival-tanh: 2.0ms (22.7% of total)ival-sub: 1.0ms (11.4% of total)ival-add: 1.0ms (11.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1536435.6214831746 | 6168009.592329155 |
| 7.0ms | 91× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 160 to 103 computations (35.6% saved)
ival-div: 1.0ms (21.3% of total)ival-mult: 1.0ms (21.3% of total)ival-tanh: 1.0ms (21.3% of total)ival-sub: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add: 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 | 1.1884869752271817e+304 | +inf |
| 0.0ms | -inf | -2.5673128564016474e+299 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1536435.6214831746 | 6168009.592329155 |
| 4.0ms | 61× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 160 to 109 computations (31.9% saved)
ival-div: 1.0ms (31.2% of total)ival-mult: 1.0ms (31.2% of total)ival-tanh: 1.0ms (31.2% of total)ival-sub: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add: 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 | 1.1884869752271817e+304 | +inf |
| 0.0ms | -inf | -2.5673128564016474e+299 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1884869752271817e+304 | +inf |
| 0.0ms | -inf | -2.5673128564016474e+299 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 718 |
| 1 | 112 | 718 |
| 2 | 125 | 718 |
| 3 | 132 | 718 |
| 4 | 135 | 718 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 55000000000000000356943399051191356440197828635684808547448924460261488976664615915289618893443131659157361250719464271712091659089875303171934820184417449127493194427949401663576131022232274294504501018624 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 8997827589086393/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 9599999999999999891790019890114281654704576428558324886846458868091315162000230284556202619264227242504077307986891026066905306557841408 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 y #s(literal 470000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 1619999999999999929725473439625760814871128095683213910719198378767556836393151879388472823507524620622035898410496030937961406930617236572935900511607107713033438467457024 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 y #s(literal 1980000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))) |
(if (<=.f64 y #s(literal 2250000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) 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)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) 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)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 55000000000000000356943399051191356440197828635684808547448924460261488976664615915289618893443131659157361250719464271712091659089875303171934820184417449127493194427949401663576131022232274294504501018624 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 55000000000000000356943399051191356440197828635684808547448924460261488976664615915289618893443131659157361250719464271712091659089875303171934820184417449127493194427949401663576131022232274294504501018624 binary64)) (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 8997827589086393/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 9599999999999999891790019890114281654704576428558324886846458868091315162000230284556202619264227242504077307986891026066905306557841408 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 y #s(literal 470000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 1619999999999999929725473439625760814871128095683213910719198378767556836393151879388472823507524620622035898410496030937961406930617236572935900511607107713033438467457024 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 y #s(literal 1980000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))) |
(if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))) |
(if (<=.f64 y #s(literal 2250000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) 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)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))) |
(if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) 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)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))))) |
(if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| 14 176× | lower-fma.f64 |
| 14 176× | lower-fma.f32 |
| 13 766× | lower-fma.f64 |
| 13 766× | lower-fma.f32 |
| 10 022× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 807 | 35239 |
| 1 | 2719 | 27459 |
| 0 | 8998 | 26731 |
| 0 | 49 | 351 |
| 0 | 84 | 321 |
| 1 | 339 | 321 |
| 2 | 2958 | 321 |
| 0 | 8148 | 314 |
| 0 | 778 | 38443 |
| 1 | 2635 | 29277 |
| 0 | 8859 | 28532 |
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6263 | 7212 |
| 0 | 9365 | 7079 |
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8208 | 43 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 737 to 323 computations (56.2% saved)
Compiled 792 to 232 computations (70.7% saved)
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