
Time bar (total: 13.0s)
| 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)
| 591.0ms | 8 256× | 0 | valid |
ival-div: 131.0ms (43.1% of total)ival-cosh: 117.0ms (38.5% of total)ival-mult: 48.0ms (15.8% of total)ival-true: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 7 | 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 | 37 | 0 |
| ↳ | (cosh.f64 x) | overflow | 145 | |
| ↳ | (/.f64 y x) | underflow | 37 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 7 | 0 |
| ↳ | (cosh.f64 x) | overflow | 145 | |
| ↳ | (/.f64 y x) | overflow | 23 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 169 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 44 | 0 |
| - | 0 | 212 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 44 | 0 | 0 |
| - | 0 | 0 | 212 |
| number | freq |
|---|---|
| 0 | 212 |
| 1 | 44 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-div: 17.0ms (67.3% of total)ival-cosh: 5.0ms (19.8% of total)ival-mult: 3.0ms (11.9% 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 |
|---|---|---|
| ▶ | 82.9% | (/.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 | 1.6841325418377178 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 7.378906250000001 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-div: 3.0ms (41.1% of total)ival-cosh: 3.0ms (41.1% of total)ival-mult: 1.0ms (13.7% 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 | 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) |
| 1.0ms | z | @ | 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)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 15 | 481 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 467 | 15 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| 92.5% | (/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x))) | |
| ▶ | 97.3% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 76.9% | (/.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) | |
| 74.3% | (/.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) | |
| 66.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 62.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
| ▶ | 89.5% | (/.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) |
| ▶ | 85.7% | (/.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) |
| 44.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 92.5% | (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) | |
| 82.2% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) | |
| 65.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) | |
| 74.8% | #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))) | |
| 71.4% | #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))) | |
| ▶ | 43.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
Compiled 498 to 294 computations (41% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | #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)) | |
| cost-diff | 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) | |
| cost-diff | 320 | (/.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) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 320 | (/.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) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 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) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) x) y) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 64 328× | lower-fma.f32 |
| 64 316× | lower-fma.f64 |
| 4 980× | lower-+.f64 |
| 4 980× | lower-+.f32 |
| 4 314× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 355 |
| 0 | 71 | 355 |
| 1 | 133 | 355 |
| 2 | 337 | 355 |
| 3 | 856 | 355 |
| 4 | 1574 | 355 |
| 5 | 1771 | 355 |
| 6 | 2003 | 355 |
| 7 | 2687 | 355 |
| 8 | 3763 | 355 |
| 9 | 4523 | 349 |
| 10 | 5147 | 349 |
| 11 | 5972 | 349 |
| 12 | 5982 | 349 |
| 13 | 5982 | 349 |
| 14 | 6665 | 349 |
| 15 | 7515 | 349 |
| 16 | 7627 | 349 |
| 17 | 7679 | 349 |
| 18 | 7702 | 349 |
| 19 | 7717 | 349 |
| 20 | 7718 | 349 |
| 21 | 7718 | 349 |
| 0 | 9059 | 343 |
| 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 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 y 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) |
#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)) |
(/.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) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
x |
(*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
y |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
(/.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) |
#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)) |
(/.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) |
(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) |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (*.f64 (cosh.f64 x) y) x) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
y |
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 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x))) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x)) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 y 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 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 y x))) z) |
#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)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 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) |
(fma.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 y x)) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) |
x |
(*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
y |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
(/.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (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 y) (/.f64 y x))) z) |
#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)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (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 y) (/.f64 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) |
(fma.f64 (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 y) (/.f64 y x)) |
(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 (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 (*.f64 x y)) 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 (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 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))) |
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) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.61684436896025 | (/.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) | |
| accuracy | 1.6841325418377178 | (/.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) | |
| accuracy | 1.7011448933057554 | (*.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 | 7.815984073238466 | #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)) | |
| accuracy | 1.6715023901234753 | (/.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) | |
| accuracy | 1.6841325418377178 | (/.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) | |
| accuracy | 4.998498693264694 | (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 10.535251641320555 | #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)) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) | |
| accuracy | 1.6841325418377178 | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| accuracy | 28.20837606174954 | #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 5.625295555796788 | (/.f64 y (*.f64 x z)) | |
| accuracy | 34.067514256928106 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (cosh.f64 x) x) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 (cosh.f64 x) x) y) | |
| accuracy | 1.6841325418377178 | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 105.0ms | 256× | 0 | valid |
Compiled 280 to 39 computations (86.1% saved)
ival-div: 42.0ms (50.3% of total)ival-mult: 25.0ms (30% of total)ival-add: 6.0ms (7.2% of total)const: 6.0ms (7.2% of total)ival-cosh: 3.0ms (3.6% 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 #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 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) (patch #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) (patch (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (patch (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) #<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) x) (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) x) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<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 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<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>) () ()) |
| 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>) () ())) ()) |
#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 (* 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>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | (* x z) |
| 6.0ms | y | @ | -inf | (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) |
| 3.0ms | z | @ | -inf | (/ y (* x z)) |
| 2.0ms | y | @ | 0 | (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) y) x) |
| 1.0ms | y | @ | 0 | (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) |
| 1× | egg-herbie |
| 17 974× | lower-fma.f64 |
| 17 974× | lower-fma.f32 |
| 4 648× | lower-*.f64 |
| 4 648× | lower-*.f32 |
| 3 362× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 6916 |
| 1 | 600 | 6796 |
| 2 | 1968 | 6664 |
| 3 | 4706 | 6622 |
| 0 | 8229 | 6331 |
| 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)) |
(/ (+ (* 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 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)) |
(* 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) |
(/ 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 (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* 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) |
(/ 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) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) 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 |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(/ 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) |
(* 1/720 (* (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))) (/ y (pow x 6)))))) |
(* 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 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) 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 |
(+ 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))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(* 1/24 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* 1/24 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (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)))))) |
(* 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)))))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) |
(/ (+ (* (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 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) |
(* 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))) |
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(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64))) x) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.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) |
(* 1/720 (* (pow x 6) y)) |
(*.f64 (*.f64 y #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64))))) |
(* (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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64))) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) |
(* 1/720 (* (pow x 6) y)) |
(*.f64 (*.f64 y #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64))))) |
(* (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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64))) (/.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) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* 1/24 (* (pow x 2) y)) |
(*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(* 1/24 (* (pow x 2) y)) |
(*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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))) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 x (*.f64 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.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 1/24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64))))) |
(* (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 1/24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 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 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.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 1/24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64))))) |
(* (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 1/24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64))))) |
| 4 978× | lower-fma.f32 |
| 4 966× | lower-fma.f64 |
| 4 502× | lower-/.f32 |
| 4 484× | lower-/.f64 |
| 4 172× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 274 |
| 0 | 71 | 274 |
| 1 | 262 | 274 |
| 2 | 1832 | 274 |
| 0 | 8523 | 274 |
| 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) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
(*.f64 x z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.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) |
(/.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) |
#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)) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
(/.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) |
(/.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) |
#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)) |
(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 y (fma.f64 x (*.f64 x #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))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (*.f64 (cosh.f64 x) y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z))) |
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y))) |
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y)) |
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.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 y (*.f64 y y)))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 x (*.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 #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 x (*.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 (*.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 y (*.f64 y y)) (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.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 #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 y #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (neg.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) y)) (*.f64 y #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 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 1/4 binary64)) (*.f64 x (*.f64 (*.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 x) (*.f64 (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 -1/4 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 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 1/4 binary64)) (*.f64 x (*.f64 (*.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 x) (*.f64 (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 -1/4 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)))) |
Compiled 29 640 to 2 312 computations (92.2% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 183 | 22 | 1 205 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 190 | 30 | 1 220 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 44.1% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| 82.3% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 76.9% | (/.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) | |
| 74.3% | (/.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) | |
| 44.1% | (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) | |
| ✓ | 62.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
| ▶ | 91.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
| ▶ | 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) | |
| 85.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) | |
| 50.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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 -1/4 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)))) y) x)) z) | |
| 64.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) | |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) | |
| 30.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) x))) z) | |
| 51.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) | |
| 50.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) | |
| ▶ | 48.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
| 28.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) | |
| 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) | |
| 87.4% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) | |
| ▶ | 84.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) |
| 65.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) | |
| 74.8% | #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))) | |
| 71.4% | #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))) | |
| 48.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| 48.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) | |
| ✓ | 43.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 44.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) | |
| ▶ | 43.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
Compiled 1 214 to 654 computations (46.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.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 x x) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) | |
| cost-diff | 320 | (/.f64 (fma.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 x x) y) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) | |
| cost-diff | 384 | (/.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) | |
| cost-diff | 0 | (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) | |
| 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 | (fma.f64 (*.f64 (*.f64 x 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 y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) | |
| cost-diff | 320 | (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) |
| 13 818× | lower-fma.f32 |
| 13 806× | lower-fma.f64 |
| 4 898× | lower-*.f32 |
| 4 874× | lower-*.f64 |
| 2 328× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 537 |
| 0 | 86 | 537 |
| 1 | 189 | 530 |
| 2 | 494 | 522 |
| 3 | 1429 | 522 |
| 4 | 2706 | 522 |
| 5 | 4070 | 522 |
| 6 | 5399 | 516 |
| 7 | 5881 | 514 |
| 8 | 6290 | 514 |
| 9 | 6639 | 514 |
| 10 | 6908 | 514 |
| 11 | 7935 | 514 |
| 0 | 8069 | 506 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) |
(fma.f64 (*.f64 (*.f64 x 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 y) |
(*.f64 (*.f64 x 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 x) |
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 #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) |
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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
x |
(*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)) |
(*.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
#s(literal 1/24 binary64) |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) |
(/.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) |
(*.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))) |
(/.f64 y z) |
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)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) |
(/.f64 (fma.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 x x) y) x) |
(fma.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 x x) 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))) |
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)) |
x |
(*.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 x) |
z |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.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 x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.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 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) |
(fma.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 x)) |
(fma.f64 (*.f64 (*.f64 x 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 y) |
(fma.f64 (*.f64 x 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 (*.f64 x 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 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 x x) |
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 (*.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 (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) |
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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(*.f64 y (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
x |
(*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)) |
(*.f64 y (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
#s(literal 1/24 binary64) |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) |
#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 (/.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) |
(/.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 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) z) |
(/.f64 y z) |
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)) |
(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 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.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 x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.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 x))) |
(/.f64 (fma.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 x x) y) x) |
(fma.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 x)) |
(fma.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 x x) y) |
(fma.f64 (*.f64 x 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 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 (*.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 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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
x |
(*.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 x) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.61684436896025 | (/.f64 (fma.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 x x) y) x) | |
| accuracy | 1.6841325418377178 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) | |
| accuracy | 1.7011448933057554 | (*.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))) | |
| accuracy | 7.815984073238466 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) | |
| accuracy | 0.3203125 | (*.f64 x #s(literal 1/24 binary64)) | |
| accuracy | 2.8739266549844404 | (/.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) | |
| accuracy | 3.5356148762619215 | (*.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))) | |
| accuracy | 10.722602433700755 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) | |
| accuracy | 1.6841325418377178 | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) | |
| accuracy | 8.294371245546941 | (*.f64 y (*.f64 x x)) | |
| accuracy | 10.535251641320555 | #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) | |
| accuracy | 26.894811971054637 | #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0.47407198235954573 | (/.f64 #s(literal 1 binary64) (*.f64 x z)) | |
| accuracy | 5.655777960066988 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) | |
| accuracy | 34.067514256928106 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) | |
| accuracy | 1.61684436896025 | (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) | |
| accuracy | 1.6841325418377178 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) | |
| accuracy | 1.9236120036335944 | (fma.f64 (*.f64 (*.f64 x 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 y) | |
| accuracy | 7.815984073238466 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) |
| 93.0ms | 256× | 0 | valid |
Compiled 397 to 50 computations (87.4% saved)
ival-mult: 34.0ms (50.8% of total)ival-div: 15.0ms (22.4% of total)ival-add: 7.0ms (10.5% of total)const: 6.0ms (9% of total)ival-cosh: 5.0ms (7.5% 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 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x 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 y) (patch (fma.f64 (*.f64 (*.f64 x 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 y) #<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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) (patch #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) (patch #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) (patch (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) (patch #s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.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 x x) y) x) (patch (/.f64 (fma.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 x x) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) #<representation binary64>) () ()) |
#s(alt (fma.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 x x) y) (patch (fma.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 x x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 x x)) (patch (*.f64 y (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* 1/2 (* (pow x 2) y))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 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 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 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 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 5) y)) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 5) y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/24 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.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))) (patch (*.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))) #<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 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 (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 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.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))) (patch (*.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))) #<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 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 (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 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.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))) (patch (*.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))) #<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 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 (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 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.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))) (patch (*.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))) #<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 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 (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 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) (taylor 0 x) (#s(alt (*.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))) (patch (*.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))) #<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 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 (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 (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) (taylor 0 x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 4) y)) (taylor inf x) (#s(alt (*.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))) (patch (*.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))) #<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 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 (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 (* (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 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 (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 (* (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 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 (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 (* 1/720 (* (pow x 4) y)) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<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 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 (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 (* (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 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 (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 (* (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 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 (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>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | (* x (* (* y (* x x)) 1/24)) |
| 3.0ms | y | @ | 0 | (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) |
| 2.0ms | x | @ | -inf | (/ (+ (* (* (* x x) (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) y) y) x) |
| 1.0ms | z | @ | 0 | (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) |
| 1.0ms | y | @ | 0 | (* x (* (* y (* x x)) 1/24)) |
| 1× | egg-herbie |
| 17 974× | lower-fma.f64 |
| 17 974× | lower-fma.f32 |
| 5 786× | lower-*.f64 |
| 5 786× | lower-*.f32 |
| 2 638× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 8464 |
| 1 | 602 | 8200 |
| 2 | 2164 | 8000 |
| 3 | 5245 | 8000 |
| 0 | 8252 | 7580 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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) |
(* 1/720 (* (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))) (/ y (pow x 6)))))) |
(* 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 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) 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 |
(+ 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))) |
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(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(/ 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) |
(* 1/720 (* (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))) (/ y (pow x 6)))))) |
(* 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 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ 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 (+ 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))) |
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)))))) |
(* (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) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 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)))))) |
| Outputs |
|---|
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x x)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) 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 (*.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) |
(* 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)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.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))) (/ y (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
(* 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)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x 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)))))))) x) |
(/.f64 (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 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (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 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (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 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (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 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (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 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (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 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (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 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (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) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(/.f64 (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) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(/.f64 (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) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(/.f64 (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) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(/.f64 (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 (* 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 x x) (*.f64 (/.f64 y 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 x x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) (fma.f64 (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
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(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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))) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(+ (* 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.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)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (+.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)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.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)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (+.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)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
| 4 684× | lower-/.f32 |
| 4 672× | lower-/.f64 |
| 4 404× | lower-fma.f32 |
| 4 392× | lower-fma.f64 |
| 4 086× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 404 |
| 0 | 86 | 404 |
| 1 | 345 | 397 |
| 2 | 2219 | 389 |
| 0 | 8099 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) |
(fma.f64 (*.f64 (*.f64 x 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 y) |
(*.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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.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)) |
(*.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))) |
(/.f64 y z) |
(/.f64 (fma.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 x x) y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) |
(fma.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 x x) y) |
(*.f64 y (*.f64 x x)) |
(*.f64 x #s(literal 1/24 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))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.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 (*.f64 x y)) y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.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 (*.f64 x y)) y) (neg.f64 x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 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)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 y y))) (fma.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 (*.f64 x y)) (neg.f64 y))) x) (/.f64 (/.f64 (*.f64 y y) (fma.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 (*.f64 x y)) (neg.f64 y))) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 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)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 y y))) (*.f64 x (fma.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 (*.f64 x y)) (neg.f64 y)))) (/.f64 (*.f64 y y) (*.f64 x (fma.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 (*.f64 x y)) (neg.f64 y))))) |
(neg.f64 (/.f64 (fma.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 (*.f64 x y)) y) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (fma.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 (*.f64 x y)) y)) x)) |
(/.f64 (fma.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 (*.f64 x y)) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.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 (*.f64 x y)) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.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 (*.f64 x y)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 y (-.f64 y (*.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 (*.f64 x y)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 y 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 (*.f64 x y))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 y y))) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.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 (*.f64 x y)) (neg.f64 y))) (*.f64 (fma.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 (*.f64 x y)) y) (fma.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 (*.f64 x y)) (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (-.f64 y (*.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 (*.f64 x y)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 y y)))) x) (*.f64 (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 (*.f64 x y))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 (*.f64 x (*.f64 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)))) (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.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 (*.f64 x y)) (neg.f64 y)) x) (*.f64 (*.f64 (fma.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 (*.f64 x y)) y) (fma.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 (*.f64 x y)) (neg.f64 y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.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 (*.f64 x y)) y) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.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)))))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.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 1/8 binary64)))) (neg.f64 (-.f64 (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)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x 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 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)))) (neg.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 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.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 1/8 binary64)) y)) (neg.f64 (-.f64 (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)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (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)) y)) (neg.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.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)))))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(*.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)) y) |
(*.f64 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))) |
Compiled 35 276 to 1 888 computations (94.6% saved)
37 alts after pruning (32 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 276 | 18 | 1 294 |
| Fresh | 8 | 14 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 287 | 37 | 1 324 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 44.1% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| 82.3% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 44.1% | (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) | |
| ✓ | 62.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
| 89.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) | |
| 50.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 (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)) 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) y) x)) z) | |
| ✓ | 91.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
| ▶ | 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
| 85.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) | |
| 89.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) | |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) | |
| 51.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) | |
| ▶ | 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
| 48.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) | |
| 50.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) | |
| 50.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) | |
| 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) | |
| ▶ | 28.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
| ▶ | 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
| 48.2% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) | |
| 71.4% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z))) | |
| 87.4% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) | |
| 58.9% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) | |
| 49.7% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) | |
| 89.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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)) | |
| ▶ | 89.0% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
| 48.5% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 y z)) x)) | |
| 73.3% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) | |
| 46.6% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) | |
| 65.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) | |
| 74.8% | #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))) | |
| 48.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) | |
| ✓ | 43.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 44.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) | |
| ✓ | 43.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
Compiled 1 443 to 772 computations (46.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.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 (*.f64 x y)) y) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) | |
| cost-diff | 0 | (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z) | |
| cost-diff | 0 | #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x) | |
| cost-diff | 0 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) | |
| cost-diff | 0 | (*.f64 y (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x 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) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
| 26 492× | lower-fma.f32 |
| 26 476× | lower-fma.f64 |
| 4 546× | lower-*.f32 |
| 4 522× | lower-*.f64 |
| 3 458× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 640 |
| 0 | 101 | 633 |
| 1 | 223 | 626 |
| 2 | 525 | 616 |
| 3 | 1185 | 616 |
| 4 | 1933 | 616 |
| 5 | 3149 | 616 |
| 6 | 4777 | 616 |
| 7 | 5327 | 613 |
| 8 | 6099 | 613 |
| 9 | 6614 | 613 |
| 10 | 6912 | 613 |
| 11 | 7692 | 613 |
| 0 | 8122 | 607 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) |
(fma.f64 (*.f64 x (*.f64 x 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 x (*.f64 x y)) |
x |
(*.f64 x y) |
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 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) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)) |
(*.f64 x (*.f64 x (*.f64 x y))) |
x |
(*.f64 x (*.f64 x y)) |
(*.f64 x y) |
y |
#s(literal 1/24 binary64) |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
(/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x) |
#s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) |
y |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) |
(/.f64 (fma.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 (*.f64 x y)) y) x) |
(fma.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 (*.f64 x y)) 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) |
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 (*.f64 x y)) |
(*.f64 x y) |
y |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) |
(fma.f64 (*.f64 x (*.f64 x 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 x (*.f64 x y)) |
x |
(*.f64 x y) |
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 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) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
#s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) |
(*.f64 x (*.f64 x (*.f64 x y))) |
x |
(*.f64 x (*.f64 x y)) |
(*.f64 x y) |
y |
#s(literal 1/24 binary64) |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 (*.f64 x y) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z)) x)) |
(/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x) |
(/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 (*.f64 x y) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z)) x) |
#s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) |
#s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 (*.f64 x y) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z) |
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) |
(fma.f64 (*.f64 x y) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) |
y |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) |
(/.f64 (fma.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 (*.f64 x y)) y) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) |
(fma.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 (*.f64 x y)) y) |
(fma.f64 (*.f64 x (*.f64 x 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) |
(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) |
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 (*.f64 x y)) |
(*.f64 x y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2916868739179986 | (fma.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 (*.f64 x y)) y) | |
| accuracy | 1.61684436896025 | (/.f64 (fma.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 (*.f64 x y)) y) x) | |
| accuracy | 1.6958512918377178 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) | |
| accuracy | 7.815984073238466 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) | |
| accuracy | 1.6632792203036229 | (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z) | |
| accuracy | 1.681059933589574 | (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) | |
| accuracy | 2.8739266549844404 | (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x) | |
| accuracy | 10.722602433700755 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) | |
| accuracy | 0.16015625 | (*.f64 x (*.f64 x y)) | |
| accuracy | 1.6841325418377178 | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) | |
| accuracy | 10.535251641320555 | #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) | |
| accuracy | 26.894811971054637 | #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64))) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 1.6841325418377178 | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) | |
| accuracy | 26.640596924297608 | #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 28.20837606174954 | #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) | |
| accuracy | 0.2916868739179986 | (fma.f64 (*.f64 x (*.f64 x 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) | |
| accuracy | 1.61684436896025 | (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) | |
| accuracy | 1.6841325418377178 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) | |
| accuracy | 7.815984073238466 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) |
| 106.0ms | 256× | 0 | valid |
Compiled 412 to 62 computations (85% saved)
ival-mult: 38.0ms (47.2% of total)ival-div: 16.0ms (19.9% of total)ival-add: 11.0ms (13.7% of total)ival-cosh: 9.0ms (11.2% of total)const: 6.0ms (7.5% 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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) (patch (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (*.f64 x 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) (patch (fma.f64 (*.f64 x (*.f64 x 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) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (patch #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) (patch #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64))) (patch #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) (patch #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x) (patch (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) (patch #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z) (patch (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.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 (*.f64 x y)) y) x) (patch (/.f64 (fma.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 (*.f64 x y)) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x y)) (patch (*.f64 x (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ()) |
#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) 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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) 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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) (taylor 0 x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) (taylor 0 x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow x 4) y)) (taylor inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow x 4) y)) (taylor -inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (patch (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/2 (* (pow x 2) y))) (taylor 0 x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) (taylor 0 x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) (taylor 0 x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 6) y)) (taylor inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) (taylor inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 6) y)) (taylor -inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) (taylor -inf x) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor 0 y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor 0 y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor 0 y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor 0 y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (taylor inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) (taylor -inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) (taylor -inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) (taylor -inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) (taylor -inf y) (#s(alt (fma.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 (*.f64 x y)) y) (patch (fma.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 (*.f64 x y)) y) #<representation binary64>) () ())) ()) |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/ (+ (* y (* (* (+ (* (* x x) 1/24) 1/2) x) x)) y) z) |
| 0.0ms | z | @ | inf | (/ (+ (* y (* (* (+ (* (* x x) 1/24) 1/2) x) x)) y) z) |
| 0.0ms | y | @ | -inf | (/ (+ (* y (* (* (+ (* (* x x) 1/24) 1/2) x) x)) y) z) |
| 0.0ms | z | @ | -inf | (/ (+ (* y (* (* (+ (* (* x x) 1/24) 1/2) x) x)) y) z) |
| 0.0ms | y | @ | 0 | (/ (+ (* y (* (* (+ (* (* x x) 1/24) 1/2) x) x)) y) z) |
| 1× | egg-herbie |
| 18 752× | lower-fma.f64 |
| 18 752× | lower-fma.f32 |
| 6 276× | lower-*.f64 |
| 6 276× | lower-*.f32 |
| 2 504× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 9262 |
| 1 | 671 | 9150 |
| 2 | 2347 | 8804 |
| 3 | 5639 | 8804 |
| 0 | 8282 | 8300 |
| 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))) |
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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 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* 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) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) 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) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) 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) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 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 (* 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) |
(* 1/720 (* (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))) (/ y (pow x 6)))))) |
(* 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 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) 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) |
(* (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) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
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) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
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))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x) |
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(* 1/24 (* (pow x 4) y)) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(fma.f64 y (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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 (*.f64 y (*.f64 x 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) |
(* 1/720 (* (pow x 6) y)) |
(*.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (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)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/720 (* (pow x 6) y)) |
(*.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (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)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) |
| 5 516× | lower-fma.f32 |
| 5 500× | lower-fma.f64 |
| 4 848× | lower-*.f32 |
| 4 824× | lower-*.f64 |
| 4 030× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 513 |
| 0 | 101 | 506 |
| 1 | 443 | 499 |
| 2 | 2753 | 491 |
| 0 | 8535 | 488 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x) |
(fma.f64 (*.f64 x (*.f64 x 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(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) |
#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
(/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x) |
#s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) |
(/.f64 (fma.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 (*.f64 x y)) y) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) |
(fma.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 (*.f64 x y)) y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) (neg.f64 z))) |
(neg.f64 (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) (neg.f64 z))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 z))) |
(pow.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x))) (/.f64 #s(literal -1 binary64) z)) |
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(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))) (fma.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 y (-.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 y (-.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))) (-.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 y (-.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))) (neg.f64 (-.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x))) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)))) (+.f64 y (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)))) (*.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 y (-.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 y (-.f64 y (*.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 y)))) |
Compiled 39 191 to 2 061 computations (94.7% saved)
40 alts after pruning (31 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 368 | 9 | 1 377 |
| Fresh | 5 | 22 | 27 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 374 | 40 | 1 414 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 44.1% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| 82.3% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 44.1% | (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z) | |
| ✓ | 62.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
| 89.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| ✓ | 91.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
| ✓ | 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
| 85.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) | |
| 89.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) | |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) | |
| 51.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) | |
| 91.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) | |
| 48.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) z) | |
| ✓ | 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
| 48.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) | |
| 50.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) | |
| 50.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) | |
| 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) | |
| ✓ | 28.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
| 48.6% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) | |
| ✓ | 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
| 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) | |
| 48.6% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) | |
| 28.3% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) | |
| 71.4% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z))) | |
| 87.4% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) | |
| 58.9% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) | |
| 49.7% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) | |
| 51.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) | |
| 48.5% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 y z)) x)) | |
| 89.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) | |
| 73.3% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) | |
| 46.6% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) | |
| 65.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) | |
| 74.8% | #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))) | |
| 48.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) | |
| ✓ | 43.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 44.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) | |
| ✓ | 43.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)) |
Compiled 1 995 to 698 computations (65% 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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 -1/4 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)))) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 (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)) 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) y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x))) |
5 calls:
| 52.0ms | z |
| 17.0ms | y |
| 17.0ms | x |
| 15.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 15.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 99.9% | 2 | y |
| 97.3% | 1 | z |
| 97.3% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 97.3% | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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 -1/4 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)))) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 (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)) 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) y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
1 calls:
| 44.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | y |
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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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 -1/4 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)))) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 (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)) 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) y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
5 calls:
| 36.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 17.0ms | z |
| 17.0ms | y |
| 17.0ms | x |
| 15.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | x |
| 96.5% | 2 | z |
| 97.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 97.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 96.0% | 2 | y |
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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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 -1/4 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)))) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 (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)) 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) y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
3 calls:
| 36.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 16.0ms | x |
| 14.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
| 95.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 95.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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 -1/4 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)))) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 (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)) 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) y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
1 calls:
| 55.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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 -1/4 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)))) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 (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)) 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) y) x)) z) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
5 calls:
| 67.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 34.0ms | z |
| 16.0ms | y |
| 16.0ms | x |
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 91.4% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 93.5% | 2 | y |
| 91.4% | 1 | z |
| 93.9% | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (/.f64 z y))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (*.f64 (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)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x)) |
2 calls:
| 37.0ms | x |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 2 | y |
| 93.5% | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x)) z) |
(/.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) z) #s(approx (* (cosh x) (/ y x)) (/.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 x y)) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 (*.f64 x y)) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
2 calls:
| 23.0ms | y |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | x |
| 93.1% | 2 | y |
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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x 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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.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 x x) y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
1 calls:
| 90.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 2 | y |
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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
5 calls:
| 247.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 17.0ms | z |
| 12.0ms | x |
| 12.0ms | y |
| 10.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | x |
| 89.3% | 1 | z |
| 89.3% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 89.3% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 91.0% | 2 | y |
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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 y (/.f64 (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) x) y) z) (/.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)) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x)) z) |
(/.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) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
#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 #s(approx (* (cosh x) (/ y x)) (/.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) x)) z) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
2 calls:
| 17.0ms | y |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | z |
| 89.3% | 1 | y |
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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (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 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z) |
5 calls:
| 262.0ms | x |
| 9.0ms | z |
| 9.0ms | y |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 7.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 81.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 88.6% | 2 | x |
| 76.9% | 2 | y |
| 77.3% | 2 | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x (*.f64 x y)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 3 | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/24 binary64)) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) z) |
#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))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x y)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) #s(literal 1/24 binary64)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/24 binary64)))) 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))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1/24 binary64))))) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.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 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
5 calls:
| 6.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 2 | y |
| 48.5% | 1 | z |
| 51.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 56.7% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 63.5% | 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 (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 2 | x |
Compiled 4 to 3 computations (25% saved)
Total -0.1b remaining (-0.2%)
Threshold costs -0.1b (-0.2%)
| 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:
| 1.0ms | z |
| 1.0ms | 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 |
|---|---|---|
| 43.5% | 1 | z |
| 43.5% | 1 | y |
| 43.5% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 43.5% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 43.5% | 1 | x |
Compiled 32 to 22 computations (31.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.523705515450732e+41 | 7.351366374359652e+45 |
| 6.0ms | 96× | 0 | valid |
Compiled 158 to 109 computations (31% saved)
ival-div: 1.0ms (37.3% of total)ival-cosh: 1.0ms (37.3% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 6.523705515450732e+41 | 7.351366374359652e+45 |
| 2.0ms | 32× | 0 | valid |
Compiled 134 to 93 computations (30.6% 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.427225651653152e+73 | 6.396907403048133e+78 |
| 12.0ms | 5.0982054610522856e-85 | 2.551478558103181e-83 |
| 15.0ms | 256× | 0 | valid |
Compiled 479 to 305 computations (36.3% saved)
ival-div: 6.0ms (61% of total)ival-cosh: 2.0ms (20.3% of total)ival-mult: 1.0ms (10.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.427225651653152e+73 | 6.396907403048133e+78 |
| 0.0ms | 5.0982054610522856e-85 | 2.551478558103181e-83 |
Compiled 335 to 209 computations (37.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.427225651653152e+73 | 6.396907403048133e+78 |
Compiled 617 to 283 computations (54.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 2.6553122417606117e-125 | 4.370772985173444e-125 |
| 3.0ms | 64× | 0 | valid |
Compiled 262 to 145 computations (44.7% saved)
ival-div: 1.0ms (55% of total)ival-cosh: 1.0ms (55% 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 |
|---|---|---|
| 6.0ms | 2.464956203292463e+58 | 4.1405982748182886e+58 |
| 3.0ms | 64× | 0 | valid |
Compiled 214 to 129 computations (39.7% saved)
ival-div: 1.0ms (53.1% of total)ival-cosh: 1.0ms (53.1% 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 |
|---|---|---|
| 5.0ms | 6.523705515450732e+41 | 7.351366374359652e+45 |
| 2.0ms | 48× | 0 | valid |
Compiled 414 to 237 computations (42.8% saved)
ival-div: 1.0ms (76.5% 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 |
|---|---|---|
| 34.0ms | 1.5043474817156814e-146 | 1.22571174999147e-144 |
| 6.0ms | 112× | 0 | valid |
Compiled 357 to 195 computations (45.4% saved)
ival-div: 1.0ms (30.9% of total)ival-mult: 1.0ms (30.9% of total)ival-cosh: 1.0ms (30.9% 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 |
|---|---|---|
| 12.0ms | 0.005065917984157968 | 72.5713770028207 |
| 7.0ms | 128× | 0 | valid |
Compiled 278 to 173 computations (37.8% saved)
ival-div: 2.0ms (47.3% of total)ival-cosh: 2.0ms (47.3% of total)ival-mult: 1.0ms (23.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.418438090485412e+96 | 1.1729714007088351e+98 |
| 1.0ms | 5.0982054610522856e-85 | 2.551478558103181e-83 |
| 6.0ms | 112× | 0 | valid |
Compiled 539 to 321 computations (40.4% saved)
ival-div: 1.0ms (30.9% of total)ival-mult: 1.0ms (30.9% of total)ival-cosh: 1.0ms (30.9% 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 | 0.005065917984157968 | 72.5713770028207 |
Compiled 246 to 157 computations (36.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.005065917984157968 | 72.5713770028207 |
Compiled 230 to 141 computations (38.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.005065917984157968 | 72.5713770028207 |
Compiled 230 to 141 computations (38.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.005065917984157968 | 72.5713770028207 |
| 5.0ms | 80× | 0 | valid |
Compiled 198 to 125 computations (36.9% saved)
ival-div: 1.0ms (35.5% of total)ival-cosh: 1.0ms (35.5% 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 |
|---|---|---|
| 1.0ms | 0.005065917984157968 | 72.5713770028207 |
Compiled 198 to 125 computations (36.9% saved)
| 1× | egg-herbie |
| 68× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1122 |
| 1 | 232 | 1122 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 8000000000000000359085701424607334284394496 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x)))) |
(if (<=.f64 y #s(literal 30000000000000001656056390163622572291260416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z)) |
(if (<=.f64 x #s(literal 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z))) |
(if (<=.f64 x #s(literal 546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z))) |
(if (<=.f64 x #s(literal 254999999999999984682387544053060061021414266100834841611656198832427162927104 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z)) |
(if (<=.f64 y #s(literal 4096532826647573/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))) |
(if (<=.f64 y #s(literal 39999999999999997752477959897654523263188617714052787863552 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x))) |
(if (<=.f64 y #s(literal 30000000000000001656056390163622572291260416 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x))) |
(if (<=.f64 y #s(literal 8435463364768493/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z)) |
(if (<=.f64 x #s(literal 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 115000000000000006564087902422605185752337696367698070923351937103690228931252130937934100025049088 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z)) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z)) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 8000000000000000359085701424607334284394496 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x)))) |
(if (<=.f64 y #s(literal 8000000000000000359085701424607334284394496 binary64)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) (/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x)))) |
(if (<=.f64 y #s(literal 30000000000000001656056390163622572291260416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(if (<=.f64 y #s(literal 30000000000000001656056390163622572291260416 binary64)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) (*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z)) |
(if (<=.f64 x #s(literal 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z))) |
(if (<=.f64 x #s(literal 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z))) |
(if (<=.f64 x #s(literal 546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z))) |
(if (<=.f64 x #s(literal 254999999999999984682387544053060061021414266100834841611656198832427162927104 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) z)) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z)) |
(if (<=.f64 y #s(literal 4096532826647573/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))) |
(if (<=.f64 y #s(literal 4096532826647573/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (/.f64 (*.f64 y (*.f64 x x)) z)) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))) |
(if (<=.f64 y #s(literal 39999999999999997752477959897654523263188617714052787863552 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x))) |
(if (<=.f64 y #s(literal 39999999999999997752477959897654523263188617714052787863552 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x 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 y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) z)) x))) |
(if (<=.f64 y #s(literal 30000000000000001656056390163622572291260416 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x))) |
(if (<=.f64 y #s(literal 30000000000000001656056390163622572291260416 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (/.f64 (fma.f64 (*.f64 x 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)) #s(literal 1 binary64)) x))) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) z)) x))) |
(if (<=.f64 y #s(literal 8435463364768493/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) z)) x))) |
(if (<=.f64 y #s(literal 8435463364768493/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (*.f64 y (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (/.f64 (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) z)) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(approx (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) (*.f64 y (/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) z))) x)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (*.f64 y (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)) z)) |
(if (<=.f64 x #s(literal 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 115000000000000006564087902422605185752337696367698070923351937103690228931252130937934100025049088 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) (*.f64 x z)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z))) |
(if (<=.f64 x #s(literal 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (if (<=.f64 x #s(literal 115000000000000006564087902422605185752337696367698070923351937103690228931252130937934100025049088 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (* (/ y z) (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1)) x) (/.f64 (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) y) (*.f64 x z)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x)))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 y (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x x)))))) z)) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z)) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 18 752× | lower-fma.f64 |
| 18 752× | lower-fma.f32 |
| 17 974× | lower-fma.f64 |
| 17 974× | lower-fma.f32 |
| 17 974× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 404 |
| 0 | 86 | 404 |
| 1 | 345 | 397 |
| 2 | 2219 | 389 |
| 0 | 8099 | 389 |
| 0 | 65 | 513 |
| 0 | 101 | 506 |
| 1 | 443 | 499 |
| 2 | 2753 | 491 |
| 0 | 8535 | 488 |
| 0 | 202 | 9262 |
| 1 | 671 | 9150 |
| 2 | 2347 | 8804 |
| 3 | 5639 | 8804 |
| 0 | 8282 | 8300 |
| 0 | 180 | 8464 |
| 1 | 602 | 8200 |
| 2 | 2164 | 8000 |
| 3 | 5245 | 8000 |
| 0 | 8252 | 7580 |
| 0 | 182 | 6916 |
| 1 | 600 | 6796 |
| 2 | 1968 | 6664 |
| 3 | 4706 | 6622 |
| 0 | 8229 | 6331 |
| 0 | 40 | 274 |
| 0 | 71 | 274 |
| 1 | 262 | 274 |
| 2 | 1832 | 274 |
| 0 | 8523 | 274 |
| 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 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 380 to 602 computations (56.4% saved)
(negabs x)
(negabs z)
Compiled 1 544 to 430 computations (72.2% saved)
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