
Time bar (total: 14.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 543.0ms | 8 256× | 0 | valid |
ival-div: 137.0ms (41.8% of total)ival-cosh: 117.0ms (35.7% of total)ival-mult: 65.0ms (19.8% of total)ival-true: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14 | 0 | - | 0 | - | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (/.f64 y x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (cosh.f64 x) (/.f64 y x)) | o*u | 43 | 0 |
| ↳ | (cosh.f64 x) | overflow | 132 | |
| ↳ | (/.f64 y x) | underflow | 43 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 14 | 0 |
| ↳ | (cosh.f64 x) | overflow | 132 | |
| ↳ | (/.f64 y x) | overflow | 29 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 162 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 57 | 0 |
| - | 0 | 199 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 57 | 0 | 0 |
| - | 0 | 0 | 199 |
| number | freq |
|---|---|
| 0 | 199 |
| 1 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-div: 7.0ms (45% of total)ival-cosh: 5.0ms (32.1% of total)ival-mult: 3.0ms (19.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 288× | lower-*.f32 |
| 1 286× | lower-*.f64 |
| 1 168× | neg-sub0 |
| 1 164× | times-frac |
| 774× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 87 |
| 1 | 106 | 75 |
| 2 | 336 | 75 |
| 3 | 1231 | 75 |
| 4 | 4255 | 75 |
| 5 | 7562 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 45 | 8 |
| 3 | 94 | 8 |
| 4 | 191 | 8 |
| 5 | 299 | 8 |
| 6 | 487 | 8 |
| 7 | 1061 | 8 |
| 8 | 2206 | 8 |
| 9 | 2598 | 8 |
| 10 | 2799 | 8 |
| 11 | 2810 | 8 |
| 12 | 2810 | 8 |
| 13 | 2847 | 8 |
| 14 | 2852 | 8 |
| 15 | 2854 | 8 |
| 16 | 2859 | 8 |
| 17 | 2859 | 8 |
| 0 | 2859 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(negabs z)
(negabs y)
(negabs x)
Compiled 11 to 7 computations (36.4% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.9% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 y x)) | |
| cost-diff | 384 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 1 288× | lower-*.f32 |
| 1 286× | lower-*.f64 |
| 1 164× | times-frac |
| 764× | lower-fma.f64 |
| 764× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 45 | 22 |
| 3 | 94 | 22 |
| 4 | 191 | 22 |
| 5 | 299 | 22 |
| 6 | 487 | 22 |
| 7 | 1061 | 22 |
| 8 | 2206 | 22 |
| 9 | 2598 | 22 |
| 10 | 2799 | 22 |
| 11 | 2810 | 22 |
| 12 | 2810 | 22 |
| 13 | 2847 | 22 |
| 14 | 2852 | 22 |
| 15 | 2854 | 22 |
| 16 | 2859 | 22 |
| 17 | 2859 | 22 |
| 0 | 2859 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 3.3715888850291904 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 8.574218750000002 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 15.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-div: 3.0ms (38.5% of total)ival-cosh: 3.0ms (38.5% of total)ival-mult: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* 1/2 (* (pow x 2) y))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | z | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | x | @ | inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 1× | egg-herbie |
| 15 684× | lower-fma.f64 |
| 15 684× | lower-fma.f32 |
| 5 420× | lower-*.f64 |
| 5 420× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 599 | 988 |
| 3 | 1416 | 982 |
| 4 | 2110 | 982 |
| 5 | 2777 | 980 |
| 6 | 3318 | 980 |
| 7 | 4807 | 976 |
| 8 | 5464 | 976 |
| 9 | 5934 | 976 |
| 10 | 6466 | 976 |
| 11 | 7754 | 976 |
| 0 | 8037 | 958 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x z)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
| 3 410× | lower-/.f32 |
| 3 406× | lower-/.f64 |
| 3 324× | lower-*.f32 |
| 3 322× | lower-*.f64 |
| 1 104× | frac-2neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
(/.f64 y x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) (*.f64 (cosh.f64 x) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (/.f64 (/.f64 y (*.f64 x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z))) (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) (cosh.f64 x))) (/.f64 (neg.f64 y) (/.f64 (*.f64 x z) (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (cosh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 z (/.f64 (*.f64 x #s(literal 2 binary64)) y))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 z (/.f64 (*.f64 x #s(literal 2 binary64)) y)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 (*.f64 x #s(literal 2 binary64)) y))) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 z (cosh.f64 x)))) (/.f64 (/.f64 y x) (neg.f64 (/.f64 z (cosh.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x z) y))) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)))) |
(neg.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 x z) (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 y (*.f64 x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 (/.f64 z (cosh.f64 x))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 (cosh.f64 x) y)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 z))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 x z)) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x))) |
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y)) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z))) |
(/.f64 y (/.f64 (*.f64 x z) (cosh.f64 x))) |
(/.f64 y (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x (neg.f64 z))))) |
(/.f64 y (neg.f64 (/.f64 (*.f64 x (neg.f64 z)) (cosh.f64 x)))) |
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 z (/.f64 (*.f64 x #s(literal 2 binary64)) y))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x z) y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x z) y)))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))) (neg.f64 z)) |
(/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x (neg.f64 z)))) |
(/.f64 (neg.f64 y) (/.f64 (*.f64 x (neg.f64 z)) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 (cosh.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x z) (cosh.f64 x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x z)) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 z))) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 x #s(literal -2 binary64))) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (neg.f64 z)) #s(literal 2 binary64)) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (/.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x z) y) #s(literal -2 binary64)) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x (neg.f64 z))) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (neg.f64 z))) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) z) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) z) (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) z) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) z) (*.f64 (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x z) #s(literal -2 binary64)) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (neg.f64 z)) (cosh.f64 x)) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (neg.f64 z)) #s(literal -2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) (neg.f64 z)) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 (cosh.f64 x) y))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x z) (*.f64 (cosh.f64 x) y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x z))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (*.f64 x (neg.f64 z)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 z (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 x z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 x (neg.f64 z)) #s(literal -2 binary64))) |
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(*.f64 (pow.f64 (*.f64 z (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 (*.f64 z (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (cosh.f64 x) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (cosh.f64 x))) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (*.f64 x #s(literal 2 binary64)) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))) |
(/.f64 (cosh.f64 x) (/.f64 x y)) |
(/.f64 y (/.f64 x (cosh.f64 x))) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) |
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 x) (cosh.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cosh.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) y))) |
(/.f64 (*.f64 (cosh.f64 x) y) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (cosh.f64 x) y))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 (neg.f64 (cosh.f64 x)) (/.f64 x (neg.f64 y))) |
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))))) |
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 y x) (cosh.f64 x)) |
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 y (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 (/.f64 (cosh.f64 x) x))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (/.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cosh.f64 x) y)) |
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x)))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (neg.f64 x)))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cosh.f64 x) (neg.f64 y))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(*.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) (neg.f64 y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x))) |
(-.f64 (*.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(cosh.f64 x) |
(cosh.f64 (neg.f64 x)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(/.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 y x) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) y)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (/.f64 y (neg.f64 x))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
Compiled 6 720 to 1 065 computations (84.2% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 17 | 481 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 465 | 17 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) | |
| 52.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))) (*.f64 (neg.f64 z) z)) | |
| ▶ | 82.5% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
| 72.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 70.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 61.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| ▶ | 96.2% | (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
| 58.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 89.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) | |
| 83.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) | |
| 44.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 89.6% | (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) | |
| 82.4% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) | |
| 67.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) | |
| ▶ | 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
| 71.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| ▶ | 48.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
Compiled 560 to 334 computations (40.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| cost-diff | 0 | (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) | |
| cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 384 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (/.f64 y (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) z) | |
| cost-diff | 0 | (*.f64 y (/.f64 (cosh.f64 x) z)) | |
| cost-diff | 384 | (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
| 11 188× | lower-fma.f32 |
| 11 180× | lower-fma.f64 |
| 4 798× | lower-*.f32 |
| 4 782× | lower-*.f64 |
| 3 266× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 253 |
| 0 | 58 | 253 |
| 1 | 117 | 253 |
| 2 | 277 | 253 |
| 3 | 740 | 253 |
| 4 | 1573 | 253 |
| 5 | 1762 | 253 |
| 6 | 2170 | 253 |
| 7 | 3010 | 253 |
| 8 | 4188 | 253 |
| 9 | 4981 | 253 |
| 10 | 5230 | 253 |
| 11 | 5239 | 253 |
| 12 | 5243 | 253 |
| 13 | 6025 | 253 |
| 14 | 7067 | 253 |
| 15 | 7700 | 253 |
| 0 | 8502 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
y |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
x |
(*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
y |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(*.f64 x z) |
z |
| Outputs |
|---|
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z)) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
y |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
x |
(*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
y |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z)) |
(*.f64 (cosh.f64 x) y) |
(*.f64 y (cosh.f64 x)) |
(cosh.f64 x) |
x |
y |
(*.f64 x z) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (cosh.f64 x) y) | |
| accuracy | 9.193819945874326 | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| accuracy | 0.20703125 | (*.f64 x #s(literal 1/720 binary64)) | |
| accuracy | 2.862129724189056 | (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 6.26466893213844 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| accuracy | 10.925199200951305 | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 3.3715888850291904 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| accuracy | 8.574218750000002 | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| accuracy | 15.966819533388776 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 3.140642123469564 | (/.f64 y (*.f64 x z)) | |
| accuracy | 32.10494438763659 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (cosh.f64 x) z) | |
| accuracy | 0.109375 | (*.f64 y (/.f64 (cosh.f64 x) z)) | |
| accuracy | 2.4066379855070723 | (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
| 141.0ms | 256× | 0 | valid |
Compiled 219 to 33 computations (84.9% saved)
const: 89.0ms (72.8% of total)ival-mult: 16.0ms (13.1% of total)ival-div: 10.0ms (8.2% of total)ival-add: 4.0ms (3.3% of total)ival-cosh: 3.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cosh.f64 x) z) (patch (/.f64 (cosh.f64 x) z) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 x z)) (patch (/.f64 y (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) (patch (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) (patch (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (patch (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) (patch (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cosh.f64 x) y) (patch (*.f64 (cosh.f64 x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 4) y)) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 4) y)) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) y) |
| 3.0ms | y | @ | inf | (/ y (* x z)) |
| 2.0ms | y | @ | 0 | (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) y) (* x z)) |
| 1.0ms | z | @ | 0 | (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) y) (* x z)) |
| 1.0ms | y | @ | inf | (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) y) (* x z)) |
| 1× | egg-herbie |
| 14 494× | lower-fma.f64 |
| 14 494× | lower-fma.f32 |
| 5 630× | lower-*.f64 |
| 5 630× | lower-*.f32 |
| 2 654× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 6654 |
| 1 | 615 | 6528 |
| 2 | 2005 | 6378 |
| 3 | 5356 | 6338 |
| 0 | 8200 | 6083 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
| Outputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
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(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x x)) y) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) y) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) y)) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
| 6 144× | lower-fma.f32 |
| 6 136× | lower-fma.f64 |
| 4 820× | lower-*.f32 |
| 4 804× | lower-*.f64 |
| 3 610× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 199 |
| 0 | 58 | 199 |
| 1 | 215 | 199 |
| 2 | 1400 | 199 |
| 0 | 8229 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
(*.f64 x z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
(*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (cosh.f64 x) y) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/720 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x (neg.f64 z)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)))))) |
(/.f64 (*.f64 (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)) y) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)))) (fma.f64 (neg.f64 x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)) y)) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y)) (fma.f64 (neg.f64 x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y))))))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
Compiled 29 913 to 1 996 computations (93.3% saved)
41 alts after pruning (39 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 297 | 34 | 1 331 |
| Fresh | 7 | 5 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 307 | 41 | 1 348 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.0% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
| 86.8% | (/.f64 (/.f64 (cosh.f64 x) (/.f64 z y)) x) | |
| ▶ | 94.7% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| ✓ | 82.5% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
| 72.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 70.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 75.5% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) | |
| 61.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 25.6% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) | |
| 89.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) | |
| 92.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) | |
| 78.6% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) | |
| 49.7% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) | |
| 58.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 44.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ▶ | 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
| 49.8% | (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) | |
| 70.9% | (/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) | |
| 60.7% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) | |
| 78.3% | (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) | |
| 82.4% | (*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) y) | |
| 61.5% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| ▶ | 60.7% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 67.1% | (*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) | |
| 67.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (fma.f64 (*.f64 y x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| 53.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))) y) (*.f64 x z))) | |
| 76.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))))) | |
| 71.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| 76.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) | |
| 63.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) | |
| ✓ | 48.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 48.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) | |
| 76.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) | |
| 49.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) | |
| 44.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) | |
| ▶ | 47.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
Compiled 1 534 to 886 computations (42.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (/.f64 y (*.f64 x z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) x) y) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 11 966× | lower-fma.f32 |
| 11 958× | lower-fma.f64 |
| 4 310× | lower-+.f64 |
| 4 310× | lower-+.f32 |
| 4 050× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 299 |
| 0 | 64 | 301 |
| 1 | 124 | 295 |
| 2 | 283 | 295 |
| 3 | 789 | 295 |
| 4 | 2185 | 295 |
| 5 | 4065 | 295 |
| 6 | 5151 | 295 |
| 7 | 5895 | 295 |
| 8 | 6269 | 295 |
| 9 | 6513 | 295 |
| 10 | 6711 | 295 |
| 0 | 8311 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
#s(literal 1 binary64) |
(*.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
y |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
#s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) |
(fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) |
x |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
y |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z)) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (*.f64 y (cosh.f64 x)) x) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(/.f64 y (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
#s(literal 1 binary64) |
(*.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
y |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
#s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) |
#s(approx (* (cosh x) y) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y)) |
(fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) |
x |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
y |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2109375 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) | |
| accuracy | 1.4458022269681359 | (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) | |
| accuracy | 4.859972260088206 | #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) | |
| accuracy | 9.193819945874326 | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| accuracy | 0.00390625 | (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.23892934555441744 | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) | |
| accuracy | 2.4066379855070723 | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) | |
| accuracy | 15.966819533388769 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 3.140642123469564 | (/.f64 y (*.f64 x z)) | |
| accuracy | 10.164062500000002 | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 15.966819533388769 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (*.f64 x z)) | |
| accuracy | 3.4013937398867116 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) | |
| accuracy | 32.10494438763659 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (cosh.f64 x) x) | |
| accuracy | 0.09375 | (*.f64 (/.f64 (cosh.f64 x) x) y) | |
| accuracy | 3.3715888850291904 | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 118.0ms | 256× | 0 | valid |
Compiled 226 to 39 computations (82.7% saved)
ival-mult: 51.0ms (66.2% of total)ival-div: 13.0ms (16.9% of total)const: 6.0ms (7.8% of total)ival-add: 4.0ms (5.2% of total)ival-cosh: 3.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 x z)) (patch (/.f64 y (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (patch (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) (patch (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (patch #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (patch (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (patch (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (patch (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* 1/2 (* (pow x 2) y))) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) x) y) (patch (*.f64 (/.f64 (cosh.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/2 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (* x (+ (* x (* x 1/720)) 1/24)) |
| 1.0ms | x | @ | -inf | (/ (cosh x) x) |
| 0.0ms | x | @ | inf | (/ (cosh x) x) |
| 0.0ms | x | @ | inf | (* x (+ (* x (* x 1/720)) 1/24)) |
| 0.0ms | x | @ | 0 | (/ 1 (* x z)) |
| 1× | egg-herbie |
| 17 110× | lower-fma.f64 |
| 17 110× | lower-fma.f32 |
| 5 856× | lower-*.f64 |
| 5 856× | lower-*.f32 |
| 2 754× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 5848 |
| 1 | 430 | 5774 |
| 2 | 1282 | 5678 |
| 3 | 3507 | 5634 |
| 4 | 7953 | 5634 |
| 0 | 8122 | 5471 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
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(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))) |
(* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))) |
(* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 x z))) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z))) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
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(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* 1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
| 5 122× | lower-fma.f32 |
| 5 114× | lower-fma.f64 |
| 4 756× | lower-*.f32 |
| 4 736× | lower-*.f64 |
| 4 296× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 216 |
| 0 | 64 | 212 |
| 1 | 227 | 212 |
| 2 | 1388 | 212 |
| 0 | 8295 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(*.f64 x z) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 y (*.f64 x z)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
#s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) |
(fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) |
(*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (neg.f64 z))) |
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y)) |
(/.f64 y (*.f64 (/.f64 x (cosh.f64 x)) z)) |
(/.f64 y (*.f64 z (/.f64 x (cosh.f64 x)))) |
(/.f64 y (*.f64 (neg.f64 (/.f64 x (cosh.f64 x))) (neg.f64 z))) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z))) |
(/.f64 y (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y (cosh.f64 x))) z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z (/.f64 x (*.f64 y (cosh.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (cosh.f64 x)) z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 y (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x z)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 z))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 z)) (*.f64 (neg.f64 (cosh.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 z)) (*.f64 (cosh.f64 x) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cosh.f64 x)) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cosh.f64 x) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y (cosh.f64 x)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))))) |
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y)) |
(/.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) z)) |
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 (neg.f64 x) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 z y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 z y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z (*.f64 #s(literal 2 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z (*.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 z y) (*.f64 x #s(literal 2 binary64)))) |
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(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
Compiled 32 067 to 2 758 computations (91.4% saved)
47 alts after pruning (42 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 670 | 29 | 1 699 |
| Fresh | 21 | 13 | 34 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 693 | 47 | 1 740 |
| Status | Accuracy | Program |
|---|---|---|
| 88.9% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) | |
| 41.2% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) | |
| ✓ | 94.7% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 78.6% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) | |
| 44.9% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| ✓ | 82.5% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
| 58.0% | (/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) | |
| 72.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 75.5% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) | |
| ▶ | 70.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
| 89.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) | |
| ▶ | 92.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
| 49.7% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) | |
| 67.5% | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) | |
| 49.8% | (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) | |
| ▶ | 44.9% | (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
| 58.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) | |
| ▶ | 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
| 75.5% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 53.6% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 x z)) | |
| 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 76.3% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) | |
| ✓ | 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
| 76.6% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 63.9% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 79.4% | (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) | |
| 82.4% | (*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) y) | |
| 90.1% | (*.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 64.1% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
| 61.5% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 67.1% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 23.8% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 67.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 76.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) | |
| 64.1% | (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| 71.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| 76.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) | |
| ✓ | 48.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 48.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) | |
| 45.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) | |
| 49.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) | |
| 49.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) | |
| 44.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) | |
| ✓ | 47.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
Compiled 1 702 to 981 computations (42.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) | |
| cost-diff | 384 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) | |
| cost-diff | 0 | (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) | |
| cost-diff | 384 | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
| 8 518× | lower-fma.f32 |
| 8 504× | lower-fma.f64 |
| 4 152× | lower-*.f32 |
| 4 130× | lower-*.f64 |
| 1 124× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 393 |
| 0 | 74 | 393 |
| 1 | 162 | 393 |
| 2 | 351 | 393 |
| 3 | 774 | 393 |
| 4 | 1515 | 393 |
| 5 | 1693 | 393 |
| 6 | 1830 | 393 |
| 7 | 2265 | 393 |
| 8 | 2888 | 393 |
| 9 | 3162 | 393 |
| 10 | 4124 | 393 |
| 11 | 4444 | 393 |
| 12 | 4713 | 393 |
| 13 | 5621 | 393 |
| 14 | 6509 | 393 |
| 0 | 8179 | 393 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) |
y |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
#s(approx (* (/ (cosh x) x) y) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x z) |
z |
y |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 x y) x) |
(*.f64 x y) |
x |
y |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
| Outputs |
|---|
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y (*.f64 x z))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y z)) |
y |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
#s(approx (* (/ (cosh x) x) y) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x z) |
z |
y |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y)) (*.f64 x z)) |
#s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx (* (cosh x) y) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y)) |
(fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) |
(*.f64 (*.f64 x y) x) |
(*.f64 y (*.f64 x x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30587127530799435 | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) | |
| accuracy | 0.49487560237860273 | (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) | |
| accuracy | 4.859972260088206 | #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) | |
| accuracy | 9.193819945874326 | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 2.4066379855070723 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) | |
| accuracy | 3.3906250000000004 | (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) | |
| accuracy | 15.966819533388769 | #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 1.2406161642569622 | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| accuracy | 8.058593750000002 | (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) | |
| accuracy | 15.966819533388769 | #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 3.3715888850291904 | (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) | |
| accuracy | 32.9090806861295 | #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) | |
| accuracy | 0.20703125 | (*.f64 x #s(literal 1/720 binary64)) | |
| accuracy | 0.2109375 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) | |
| accuracy | 2.4066379855070723 | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) | |
| accuracy | 5.239084322409884 | #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 86.0ms | 256× | 0 | valid |
Compiled 256 to 46 computations (82% saved)
ival-mult: 26.0ms (42.6% of total)ival-div: 14.0ms (23% of total)ival-add: 7.0ms (11.5% of total)ival-cosh: 7.0ms (11.5% of total)const: 6.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) (patch (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) (patch (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) (patch #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (patch (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) (patch (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) (patch (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) (patch (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (patch #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (patch (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/24 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (cosh x) (* x z)) |
| 0.0ms | x | @ | -inf | (* x 1/2) |
| 0.0ms | y | @ | 0 | (* (* x y) x) |
| 0.0ms | y | @ | inf | (* (* x y) x) |
| 0.0ms | x | @ | inf | (* x 1/2) |
| 1× | egg-herbie |
| 16 250× | lower-fma.f64 |
| 16 250× | lower-fma.f32 |
| 5 626× | lower-*.f64 |
| 5 626× | lower-*.f32 |
| 2 794× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 5886 |
| 1 | 402 | 5850 |
| 2 | 1141 | 5716 |
| 3 | 3042 | 5672 |
| 4 | 6999 | 5672 |
| 0 | 8087 | 5523 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 x z))) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x z)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
| 7 176× | lower-fma.f32 |
| 7 162× | lower-fma.f64 |
| 4 530× | lower-*.f32 |
| 4 508× | lower-*.f64 |
| 3 526× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 277 |
| 0 | 74 | 277 |
| 1 | 301 | 277 |
| 2 | 1702 | 277 |
| 0 | 8179 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
#s(approx (* (/ (cosh x) x) y) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 x y) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) (/.f64 y x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y (neg.f64 x)))) |
(/.f64 y (*.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x))) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 x y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (*.f64 x (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
(/.f64 (neg.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)) (neg.f64 z)) |
(pow.f64 (*.f64 x (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y x) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))) |
(*.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) #s(literal -1 binary64)) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z))) |
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 z y)) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))) z) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) |
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
Compiled 25 931 to 1 876 computations (92.8% saved)
47 alts after pruning (41 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 147 | 14 | 1 161 |
| Fresh | 10 | 27 | 37 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 161 | 47 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| 41.2% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) | |
| ✓ | 94.7% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 44.9% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| ✓ | 82.5% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
| 58.0% | (/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) | |
| 72.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 34.5% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) | |
| 92.2% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) | |
| 89.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) | |
| 49.7% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) | |
| 67.5% | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) | |
| 49.8% | (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) | |
| ✓ | 44.9% | (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
| 58.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) | |
| 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) | |
| 76.6% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) | |
| 71.9% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) | |
| 71.9% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) | |
| 75.5% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 53.6% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 x z)) | |
| 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 76.3% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) | |
| ✓ | 76.7% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
| 76.6% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 63.9% | (/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) | |
| 79.4% | (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) | |
| 79.3% | (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) | |
| 82.4% | (*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) y) | |
| 90.1% | (*.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) x)) | |
| 78.1% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| 74.0% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| 25.2% | (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) | |
| 23.8% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 67.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 44.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) | |
| 84.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) | |
| 64.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| 71.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| 76.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) | |
| ✓ | 48.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 48.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) | |
| 45.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) | |
| 49.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) | |
| 49.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 47.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
Compiled 2 452 to 812 computations (66.9% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (fma.f64 (*.f64 y x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 x z)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) y) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) |
(/.f64 (/.f64 (cosh.f64 x) (/.f64 z y)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))))) (*.f64 (neg.f64 z) z)) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
5 calls:
| 49.0ms | z |
| 45.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 41.0ms | y |
| 30.0ms | x |
| 23.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | x |
| 99.8% | 2 | y |
| 96.2% | 1 | z |
| 99.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (fma.f64 (*.f64 y x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 x z)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) y) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
2 calls:
| 60.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 22.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (fma.f64 (*.f64 y x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 x z)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) y) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
4 calls:
| 82.0ms | x |
| 51.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 38.0ms | y |
| 22.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | x |
| 96.4% | 2 | y |
| 98.2% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 98.3% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (fma.f64 (*.f64 y x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 x z)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) y) |
| Outputs |
|---|
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
1 calls:
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) z) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (fma.f64 (*.f64 y x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 x z)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
5 calls:
| 88.0ms | x |
| 71.0ms | y |
| 60.0ms | z |
| 45.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 44.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 2 | y |
| 96.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 96.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 92.3% | 1 | z |
| 94.6% | 2 | x |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
2 calls:
| 62.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 18.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 96.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
2 calls:
| 55.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 18.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 96.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
2 calls:
| 67.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 19.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 95.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x y)) x y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 y x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (* (cosh x) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
5 calls:
| 22.0ms | y |
| 20.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 20.0ms | z |
| 20.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | z |
| 93.7% | 2 | x |
| 89.3% | 1 | y |
| 92.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 92.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64))))) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x (*.f64 y (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y x)) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
3 calls:
| 20.0ms | x |
| 18.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 16.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 92.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 92.3% | 2 | x |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x) |
2 calls:
| 15.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 92.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
5 calls:
| 16.0ms | x |
| 15.0ms | y |
| 14.0ms | z |
| 14.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 13.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | y |
| 85.9% | 2 | z |
| 90.0% | 2 | x |
| 83.7% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 83.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 x z)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (*.f64 x z)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
1 calls:
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
2 calls:
| 14.0ms | x |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 2 | y |
| 86.9% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
4 calls:
| 18.0ms | x |
| 16.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 13.0ms | z |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 82.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 84.1% | 3 | z |
| 84.8% | 2 | x |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
2 calls:
| 27.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 2 | y |
| 82.0% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) y) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
4 calls:
| 33.0ms | y |
| 17.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | z |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 2 | z |
| 82.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 82.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 81.1% | 2 | y |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x) |
2 calls:
| 25.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 11.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 82.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
4 calls:
| 62.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 11.0ms | z |
| 11.0ms | x |
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 3 | x |
| 79.4% | 1 | z |
| 81.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 81.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x) |
1 calls:
| 31.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x) |
5 calls:
| 38.0ms | z |
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 9.0ms | y |
| 9.0ms | x |
| 8.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 1 | z |
| 67.5% | 1 | y |
| 69.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 69.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 76.1% | 2 | x |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* (cosh x) y) (fma.f64 x #s(approx (* y (* x (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 #s(approx (/ (cosh x) x) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) y) z) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
4 calls:
| 39.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 9.0ms | z |
| 8.0ms | x |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 1 | z |
| 67.5% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 67.5% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 67.5% | 1 | x |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
5 calls:
| 35.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 6.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 2 | x |
| 63.9% | 1 | y |
| 67.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 67.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 63.9% | 1 | z |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y) |
5 calls:
| 32.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 2 | y |
| 53.4% | 2 | z |
| 64.5% | 2 | x |
| 60.2% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 60.2% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x) |
3 calls:
| 39.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 5.0ms | x |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 53.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 52.0% | 2 | x |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (/ (cosh x) x) y) (/.f64 y x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
2 calls:
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 53.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
2 calls:
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 2.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 52.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
Total -0.3b remaining (-0.9%)
Threshold costs -0.3b (-0.9%)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
5 calls:
| 2.0ms | z |
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | x |
| 48.3% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 48.3% | 1 | y |
| 48.3% | 1 | z |
| 48.3% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.556631791100785e+299 | 1.556361776973694e+304 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.337019793908056e+190 | 3.5166373474597953e+196 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.1941745387090376e+76 | 1.7175624136427767e+79 |
| 6.0ms | 128× | 0 | valid |
Compiled 294 to 189 computations (35.7% saved)
ival-div: 2.0ms (57.4% of total)ival-mult: 1.0ms (28.7% of total)ival-cosh: 1.0ms (28.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1941745387090376e+76 | 1.7175624136427767e+79 |
Compiled 294 to 189 computations (35.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6484572754068165e+275 | 6.321643009855385e+297 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6484572754068165e+275 | 6.321643009855385e+297 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.321643009855385e+297 | +inf |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.556631791100785e+299 | 1.556361776973694e+304 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1941745387090376e+76 | 1.7175624136427767e+79 |
Compiled 414 to 253 computations (38.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.556631791100785e+299 | 1.556361776973694e+304 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.556631791100785e+299 | 1.556361776973694e+304 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 236.0ms | 6.998874024804132e+123 | 1.2489281649413998e+125 |
| 232.0ms | 112× | 0 | valid |
Compiled 322 to 195 computations (39.4% saved)
ival-mult: 227.0ms (99% of total)ival-div: 1.0ms (0.4% of total)ival-cosh: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.341831937466935e+146 | 2.5314735998710362e+148 |
| 5.0ms | 112× | 0 | valid |
Compiled 287 to 181 computations (36.9% saved)
ival-div: 1.0ms (33% of total)ival-mult: 1.0ms (33% of total)ival-cosh: 1.0ms (33% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.341831937466935e+146 | 2.5314735998710362e+148 |
Compiled 287 to 188 computations (34.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.341831937466935e+146 | 2.5314735998710362e+148 |
Compiled 287 to 181 computations (36.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.3192752281406134e-118 | 1.0423240612593728e-116 |
| 6.0ms | 112× | 0 | valid |
Compiled 252 to 167 computations (33.7% saved)
ival-div: 1.0ms (30.5% of total)ival-mult: 1.0ms (30.5% of total)ival-cosh: 1.0ms (30.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6484572754068165e+275 | 6.321643009855385e+297 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.556631791100785e+299 | 1.556361776973694e+304 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 7.661603390091426e+122 | 3.131771161789165e+123 |
| 17.0ms | 2.1941745387090376e+76 | 1.7175624136427767e+79 |
| 18.0ms | 192× | 0 | valid |
Compiled 498 to 307 computations (38.4% saved)
ival-div: 10.0ms (74.1% of total)ival-cosh: 2.0ms (14.8% of total)ival-mult: 1.0ms (7.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.1852616568026195e+97 | 4.302176979375062e+98 |
| 2.0ms | 32× | 0 | valid |
Compiled 84 to 53 computations (36.9% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.630878796726096e+165 | 3.192650418640571e+165 |
| 3.0ms | 64× | 0 | valid |
Compiled 150 to 93 computations (38% saved)
ival-div: 1.0ms (58.2% of total)ival-cosh: 1.0ms (58.2% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.1522004686814822 | 1.5734645771095608 |
| 3.0ms | 48× | 0 | valid |
Compiled 95 to 61 computations (35.8% saved)
ival-div: 1.0ms (67.1% of total)ival-cosh: 1.0ms (67.1% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1522004686814822 | 1.5734645771095608 |
Compiled 95 to 61 computations (35.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.556631791100785e+299 | 1.556361776973694e+304 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2240528138617426e+263 | 4.50691401349485e+267 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.085589433411898e+42 | 1.734072098939666e+51 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 82× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 1354 |
| 1 | 267 | 1354 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 100000000000000007255917159731877836103034242878113728245683439839721017249206890744520681817432419517406259768686757211613347531636374137714903657800393217922126245182526923208032109954334720 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) |
(if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 48000000000000001278621129881231452052263843073893263090502548396119452670003286063946619939000809784567359444174367856001024 binary64)) (/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) (/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 y #s(literal 7665877170305229/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 53000000000000001530024301727595722900088632056995581537355364265285021335552 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (if (<=.f64 x #s(literal 1500000000000000039956910308788482876633245096059164471578204637378732895937602689498331873093775305767729982630448995500032 binary64)) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x)) |
(if (<=.f64 x #s(literal 1649999999999999926222435042604240224056166582848117849649027254072805793473892794020637514953631005571326012209267457664216166919832708008457477229478397194813833216 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000022070259451447643889643195698691290637281503086641722198041511804637241833845925416199409849438773805515698556484214352937342799866667017096235890326785935022607598869817624603345407231591885929026416516254957774801286987505083286521920239280586752 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 10000000000000000139372116959414099130712064 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 100000000000000007255917159731877836103034242878113728245683439839721017249206890744520681817432419517406259768686757211613347531636374137714903657800393217922126245182526923208032109954334720 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) |
(if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 48000000000000001278621129881231452052263843073893263090502548396119452670003286063946619939000809784567359444174367856001024 binary64)) (/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) (/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) (/.f64 #s(approx (* (cosh x) y) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 x z)) (/.f64 y (*.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z))) (/.f64 y (*.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 x #s(literal 25000000000000001224418164378763014489305675088268597218626059364754206589834618904030788231181911594827826617037756919051335822966564630427556904960 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) (/.f64 y (*.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 y #s(literal 7665877170305229/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 y #s(literal 7665877170305229/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 53000000000000001530024301727595722900088632056995581537355364265285021335552 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (if (<=.f64 x #s(literal 1500000000000000039956910308788482876633245096059164471578204637378732895937602689498331873093775305767729982630448995500032 binary64)) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x))) |
(if (<=.f64 x #s(literal 53000000000000001530024301727595722900088632056995581537355364265285021335552 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) (if (<=.f64 x #s(literal 1500000000000000039956910308788482876633245096059164471578204637378732895937602689498331873093775305767729982630448995500032 binary64)) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x)) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) z) x)) |
(if (<=.f64 x #s(literal 1649999999999999926222435042604240224056166582848117849649027254072805793473892794020637514953631005571326012209267457664216166919832708008457477229478397194813833216 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) (*.f64 y (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (*.f64 y (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x 1/2)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x z)))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 y (*.f64 x z)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000022070259451447643889643195698691290637281503086641722198041511804637241833845925416199409849438773805515698556484214352937342799866667017096235890326785935022607598869817624603345407231591885929026416516254957774801286987505083286521920239280586752 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 10000000000000000139372116959414099130712064 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 17 110× | lower-fma.f64 |
| 17 110× | lower-fma.f32 |
| 16 250× | lower-fma.f64 |
| 16 250× | lower-fma.f32 |
| 15 684× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 216 |
| 0 | 64 | 212 |
| 1 | 227 | 212 |
| 2 | 1388 | 212 |
| 0 | 8295 | 212 |
| 0 | 138 | 5886 |
| 1 | 402 | 5850 |
| 2 | 1141 | 5716 |
| 3 | 3042 | 5672 |
| 4 | 6999 | 5672 |
| 0 | 8087 | 5523 |
| 0 | 189 | 6654 |
| 1 | 615 | 6528 |
| 2 | 2005 | 6378 |
| 3 | 5356 | 6338 |
| 0 | 8200 | 6083 |
| 0 | 142 | 5848 |
| 1 | 430 | 5774 |
| 2 | 1282 | 5678 |
| 3 | 3507 | 5634 |
| 4 | 7953 | 5634 |
| 0 | 8122 | 5471 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 0 | 41 | 277 |
| 0 | 74 | 277 |
| 1 | 301 | 277 |
| 2 | 1702 | 277 |
| 0 | 8179 | 277 |
| 0 | 34 | 199 |
| 0 | 58 | 199 |
| 1 | 215 | 199 |
| 2 | 1400 | 199 |
| 0 | 8229 | 199 |
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 599 | 988 |
| 3 | 1416 | 982 |
| 4 | 2110 | 982 |
| 5 | 2777 | 980 |
| 6 | 3318 | 980 |
| 7 | 4807 | 976 |
| 8 | 5464 | 976 |
| 9 | 5934 | 976 |
| 10 | 6466 | 976 |
| 11 | 7754 | 976 |
| 0 | 8037 | 958 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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× | node limit |
| 1× | iter limit |
Compiled 2 630 to 1 093 computations (58.4% saved)
(negabs z)
Compiled 2 370 to 524 computations (77.9% saved)
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