
Time bar (total: 13.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 1.0s | 8 256× | 0 | valid |
ival-div: 400.0ms (46.8% of total)ival-cosh: 369.0ms (43.2% of total)ival-mult: 76.0ms (8.9% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 28 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 8 | 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 | 28 | 0 |
| ↳ | (cosh.f64 x) | overflow | 141 | |
| ↳ | (/.f64 y x) | underflow | 28 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 8 | 0 |
| ↳ | (cosh.f64 x) | overflow | 141 | |
| ↳ | (/.f64 y x) | overflow | 31 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 172 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 0 |
| - | 0 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 0 |
| - | 0 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 36 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 76.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-div: 7.0ms (41.7% of total)ival-cosh: 6.0ms (35.7% of total)ival-mult: 3.0ms (17.9% 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 |
|---|---|---|
| ▶ | 86.0% | (/.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 | 1.9596211800507595 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 5.585937500000001 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 28.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-div: 5.0ms (51.3% of total)ival-cosh: 3.0ms (30.8% of total)ival-mult: 1.0ms (10.3% 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)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 17 | 481 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 465 | 17 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| 85.3% | (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) | |
| 61.1% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) (*.f64 (cosh.f64 x) (neg.f64 y)))) (*.f64 (neg.f64 z) (*.f64 x z))) | |
| 80.0% | (/.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) | |
| 78.1% | (/.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) | |
| ▶ | 66.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| 96.6% | (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) | |
| 62.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 89.8% | (/.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) | |
| 86.3% | (/.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) | |
| 45.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ▶ | 85.9% | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
| ▶ | 97.6% | (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
| 81.6% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) | |
| 66.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) | |
| ▶ | 75.2% | #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))) |
| 72.6% | #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))) | |
| ▶ | 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
Compiled 568 to 336 computations (40.8% saved)
| 1× | egg-herbie |
Found 19 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) z) | |
| cost-diff | 384 | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) | |
| cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 384 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (/.f64 y (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) x) | |
| cost-diff | 0 | (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) | |
| cost-diff | 384 | (/.f64 (/.f64 (cosh.f64 x) x) z) |
| 13 636× | lower-fma.f32 |
| 13 628× | lower-fma.f64 |
| 4 378× | lower-*.f32 |
| 4 362× | lower-*.f64 |
| 2 282× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 253 |
| 0 | 58 | 253 |
| 1 | 117 | 253 |
| 2 | 276 | 253 |
| 3 | 746 | 253 |
| 4 | 1604 | 253 |
| 5 | 1790 | 253 |
| 6 | 2154 | 253 |
| 7 | 3026 | 253 |
| 8 | 4663 | 253 |
| 9 | 6143 | 251 |
| 10 | 6373 | 251 |
| 11 | 6647 | 251 |
| 12 | 7017 | 251 |
| 13 | 7834 | 251 |
| 0 | 8071 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
y |
(/.f64 (/.f64 (cosh.f64 x) x) z) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
x |
(*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
y |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
x |
z |
(/.f64 y x) |
y |
| Outputs |
|---|
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z))) |
y |
(/.f64 (/.f64 (cosh.f64 x) x) z) |
(/.f64 (cosh.f64 x) (*.f64 x z)) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(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 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) y) |
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 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(*.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 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 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x z) |
z |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z))) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
x |
z |
(/.f64 y x) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.015625 | (/.f64 (cosh.f64 x) z) | |
| accuracy | 7.5729024300507595 | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) | |
| accuracy | 0.265625 | (*.f64 x #s(literal 1/720 binary64)) | |
| accuracy | 1.9011090676724143 | (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 6.704568510352896 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) | |
| accuracy | 11.308238142793806 | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 1.9596211800507595 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| accuracy | 5.585937500000001 | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| accuracy | 18.485190572632096 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 4.892158203865754 | (/.f64 y (*.f64 x z)) | |
| accuracy | 33.26924490490221 | #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) z) | |
| accuracy | 1.46968896973781 | (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
| 136.0ms | 256× | 0 | valid |
Compiled 219 to 33 computations (84.9% saved)
const: 81.0ms (68.9% of total)ival-mult: 18.0ms (15.3% of total)ival-div: 11.0ms (9.4% of total)ival-add: 4.0ms (3.4% of total)ival-cosh: 3.0ms (2.6% 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 (cosh.f64 x) x) z) (patch (/.f64 (/.f64 (cosh.f64 x) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) (patch (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) #<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 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) (patch (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) (patch (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (patch (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) (patch (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cosh.f64 x) z) (patch (/.f64 (cosh.f64 x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* x z)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cosh.f64 x) x) z) (patch (/.f64 (/.f64 (cosh.f64 x) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cosh.f64 x) x) z) (patch (/.f64 (/.f64 (cosh.f64 x) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 (cosh.f64 x) x) z) (patch (/.f64 (/.f64 (cosh.f64 x) x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 4) y)) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 4) y)) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (/ y (* x z)) |
| 3.0ms | y | @ | -inf | (* y (/ (/ (cosh x) x) z)) |
| 2.0ms | y | @ | 0 | (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) y) (* x z)) |
| 1.0ms | z | @ | 0 | (/ (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) y) (* x z)) |
| 1.0ms | x | @ | -inf | (/ (/ (cosh x) x) z) |
| 1× | egg-herbie |
| 14 484× | lower-fma.f64 |
| 14 484× | lower-fma.f32 |
| 5 594× | lower-*.f64 |
| 5 594× | lower-*.f32 |
| 2 654× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 6490 |
| 1 | 624 | 6370 |
| 2 | 2003 | 6228 |
| 3 | 5332 | 6188 |
| 0 | 8152 | 5933 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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 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) |
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(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
| Outputs |
|---|
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal 1/2 binary64) y)) (*.f64 x z)) |
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #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 x (*.f64 (/.f64 (*.f64 x 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 (*.f64 x (*.f64 x y)) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal 1/2 binary64) y)) (*.f64 x z)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 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 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) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 x (*.f64 (/.f64 (*.f64 x 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 (*.f64 x (*.f64 x y)) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal 1/2 binary64) y)) (*.f64 x z)) |
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(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #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 #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 #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 #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 #s(literal 1/2 binary64) y)) (*.f64 x z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) |
(/ 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) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
| 5 710× | lower-fma.f32 |
| 5 702× | lower-fma.f64 |
| 4 726× | lower-*.f32 |
| 4 710× | lower-*.f64 |
| 3 708× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 205 |
| 0 | 58 | 205 |
| 1 | 216 | 205 |
| 2 | 1477 | 205 |
| 0 | 8334 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cosh.f64 x) x) z) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(/.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 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) |
(*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (cosh.f64 x) z) |
(/.f64 y x) |
(*.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))) |
(*.f64 x #s(literal 1/720 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (cosh.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cosh.f64 x) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (neg.f64 (/.f64 (cosh.f64 x) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 z))) (/.f64 (cosh.f64 x) (*.f64 x (neg.f64 z)))) |
(neg.f64 (neg.f64 (/.f64 (cosh.f64 x) (*.f64 x z)))) |
(neg.f64 (/.f64 (cosh.f64 x) (*.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 x z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cosh.f64 x) (*.f64 x z))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 (cosh.f64 x) x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) (neg.f64 z)))) |
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x (cosh.f64 x))))) |
(/.f64 (cosh.f64 x) (*.f64 x z)) |
(/.f64 (/.f64 (cosh.f64 x) x) z) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (cosh.f64 x) (neg.f64 z)))) |
(/.f64 (/.f64 (cosh.f64 x) z) x) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 x z) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 x (neg.f64 z))) |
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (cosh.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (cosh.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (/.f64 x (cosh.f64 x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 x (cosh.f64 x)))) |
(/.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (neg.f64 x)) |
(pow.f64 (*.f64 z (/.f64 x (cosh.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (/.f64 z (cosh.f64 x))) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x z))) |
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) z)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cosh.f64 x) (*.f64 x z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 (cosh.f64 x) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (pow.f64 (neg.f64 (/.f64 z (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) |
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(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 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 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)))) (fma.f64 (neg.f64 x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 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 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y)) (fma.f64 (neg.f64 x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(*.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))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 y #s(literal 1/2 binary64))))))) |
(*.f64 (*.f64 (*.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))) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) y)))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
Compiled 32 166 to 2 256 computations (93% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 467 | 30 | 1 497 |
| Fresh | 6 | 6 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 475 | 39 | 1 514 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.3% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
| 81.6% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 80.0% | (/.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) | |
| 78.1% | (/.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) | |
| 30.0% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) | |
| ▶ | 66.4% | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
| 62.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 86.3% | (/.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) | |
| 69.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) | |
| 45.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ✓ | 85.9% | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
| 77.6% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 81.0% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 65.8% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 44.9% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) | |
| 61.9% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| 66.4% | (*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) | |
| 87.8% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| ▶ | 92.0% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
| 76.4% | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) | |
| ▶ | 45.6% | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
| 76.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) | |
| 75.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) | |
| 51.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) | |
| 50.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) y) (*.f64 x z))) | |
| ✓ | 75.2% | #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))) |
| 72.6% | #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))) | |
| ▶ | 74.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
| 75.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) y) (*.f64 x z))) | |
| 62.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) | |
| 47.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| 75.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y)))) | |
| 45.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) | |
| 72.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) | |
| 72.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x z))) | |
| ✓ | 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) | |
| 75.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) | |
| 47.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 502 to 847 computations (43.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) | |
| cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x 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) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z))) | |
| cost-diff | 0 | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
| 12 770× | lower-fma.f32 |
| 12 760× | lower-fma.f64 |
| 4 262× | lower-*.f32 |
| 4 236× | lower-*.f64 |
| 2 634× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 504 |
| 0 | 80 | 499 |
| 1 | 173 | 499 |
| 2 | 376 | 487 |
| 3 | 692 | 475 |
| 4 | 1001 | 475 |
| 5 | 1130 | 475 |
| 6 | 1333 | 475 |
| 7 | 2232 | 475 |
| 8 | 3616 | 475 |
| 9 | 4193 | 475 |
| 10 | 4259 | 475 |
| 11 | 4268 | 475 |
| 12 | 4268 | 475 |
| 13 | 4333 | 475 |
| 14 | 4399 | 475 |
| 15 | 4722 | 475 |
| 16 | 5112 | 475 |
| 17 | 5118 | 475 |
| 18 | 5118 | 475 |
| 19 | 5118 | 475 |
| 20 | 5122 | 475 |
| 21 | 5175 | 475 |
| 22 | 5209 | 475 |
| 23 | 5236 | 475 |
| 24 | 5306 | 475 |
| 25 | 5384 | 473 |
| 26 | 5553 | 473 |
| 27 | 6936 | 473 |
| 0 | 8005 | 471 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
y |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
y |
#s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
#s(literal 1 binary64) |
(*.f64 x z) |
x |
z |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
y |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(*.f64 x z) |
z |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
y |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) |
x |
(*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) |
#s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))) |
(*.f64 x x) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) |
#s(literal 1/720 binary64) |
(*.f64 x (*.f64 x y)) |
(*.f64 x y) |
y |
(*.f64 x z) |
z |
| Outputs |
|---|
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
y |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
y |
#s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
#s(literal 1 binary64) |
(*.f64 x z) |
x |
z |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
y |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(*.f64 x z) |
z |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
y |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) |
(fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) y) |
x |
(*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) |
(*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))))) |
#s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))) |
(*.f64 y (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x x) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) |
(*.f64 y (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
#s(literal 1/720 binary64) |
(*.f64 x (*.f64 x y)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x y) |
(*.f64 y x) |
y |
(*.f64 x z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1796875 | (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) | |
| accuracy | 6.704568510352896 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) | |
| accuracy | 11.308238142793806 | (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z)) | |
| accuracy | 27.750135095396733 | #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))))) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) | |
| accuracy | 0.01171875 | (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 1.9596211800507595 | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) | |
| accuracy | 18.48519057263209 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 9.692345219737811 | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) | |
| accuracy | 18.48519057263209 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0.3255458698421696 | (/.f64 #s(literal 1 binary64) (*.f64 x z)) | |
| accuracy | 1.46968896973781 | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) | |
| accuracy | 34.7889568974653 | #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z))) | |
| accuracy | 0.24609375 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) | |
| accuracy | 0.265625 | (*.f64 x #s(literal 1/720 binary64)) | |
| accuracy | 1.46968896973781 | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| accuracy | 5.656254360354512 | #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 101.0ms | 256× | 0 | valid |
Compiled 310 to 45 computations (85.5% saved)
ival-mult: 29.0ms (42.1% of total)ival-add: 16.0ms (23.2% of total)ival-div: 13.0ms (18.9% of total)const: 6.0ms (8.7% of total)ival-cosh: 3.0ms (4.4% 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 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) (patch (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) (patch (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (patch (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (patch #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) (patch (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (patch (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) (patch (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) (patch (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z)) (patch (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (patch (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) (patch (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))))) (patch #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* x z)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/720 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) #<representation binary64>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | (* 1/720 (* x (* x y))) |
| 0.0ms | x | @ | inf | (* x (+ (* x (* x 1/720)) 1/24)) |
| 0.0ms | y | @ | inf | (* 1/720 (* x (* x y))) |
| 0.0ms | x | @ | inf | (* 1/720 (* x (* x y))) |
| 0.0ms | x | @ | 0 | (* 1/720 (* x (* x y))) |
| 1× | egg-herbie |
| 21 128× | lower-fma.f64 |
| 21 128× | lower-fma.f32 |
| 5 346× | lower-*.f64 |
| 5 346× | lower-*.f32 |
| 3 616× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 6920 |
| 1 | 650 | 6794 |
| 2 | 2067 | 6654 |
| 3 | 4813 | 6600 |
| 0 | 8242 | 6330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 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) |
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(* 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))))))) |
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(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
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(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
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1 |
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(/ y x) |
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(/ (+ 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) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) 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)) |
(/ (+ (* 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) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/720 (* (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))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))) |
(* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))) |
(* x (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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)))))) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
(* 1/720 (* (pow x 2) y)) |
| Outputs |
|---|
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* x (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x y)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 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 #s(literal 1/2 binary64) y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.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 y (*.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)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 (*.f64 x x) (*.f64 y (*.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)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (* (pow x 2) y)) |
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
| 5 552× | lower-fma.f32 |
| 5 542× | lower-fma.f64 |
| 4 300× | lower-*.f32 |
| 4 274× | lower-*.f64 |
| 4 242× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 376 |
| 0 | 79 | 371 |
| 1 | 308 | 371 |
| 2 | 1880 | 351 |
| 0 | 8216 | 351 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(*.f64 x z) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
(*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
(/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z)) |
(fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) |
(*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 x x) |
#s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 x))) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 z (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x z) #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) z))) |
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(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
#s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) |
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x y))) |
(*.f64 x (*.f64 (*.f64 x y) #s(literal 1/720 binary64))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y))) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 x x) (*.f64 y #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/720 binary64)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y) |
(*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x y)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/720 binary64)) y) x) |
Compiled 32 425 to 1 908 computations (94.1% saved)
47 alts after pruning (43 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 353 | 25 | 1 378 |
| Fresh | 13 | 18 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 370 | 47 | 1 417 |
| Status | Accuracy | Program |
|---|---|---|
| 90.9% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64)))) x) z) | |
| 89.0% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) | |
| 39.5% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) | |
| 69.9% | (/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) | |
| 65.6% | (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) | |
| 81.6% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 78.1% | (/.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) | |
| 30.0% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) | |
| 77.1% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) | |
| 74.4% | (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) | |
| 27.5% | (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) | |
| 45.0% | (/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) | |
| 62.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 62.0% | (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) | |
| ✓ | 85.9% | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
| ▶ | 76.3% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
| 83.5% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) x) (/.f64 y z)) | |
| 77.6% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 81.0% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 64.3% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| 65.8% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 44.9% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) | |
| 71.3% | (*.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) #s(literal 1 binary64))) | |
| 61.9% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| 76.0% | (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z))) | |
| ▶ | 77.1% | (*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 92.0% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
| ✓ | 92.0% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
| 91.8% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| 87.8% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| 45.6% | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) | |
| ✓ | 45.6% | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
| 72.9% | #s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) | |
| 51.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) | |
| 50.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) y) (*.f64 x z))) | |
| 72.6% | #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))) | |
| 74.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) | |
| 74.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) | |
| 75.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) y) (*.f64 x z))) | |
| 89.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) | |
| ▶ | 47.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 74.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y)))) | |
| ▶ | 45.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
| 72.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x z))) | |
| ✓ | 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) | |
| 47.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 825 to 1 031 computations (43.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (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 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) | |
| cost-diff | 0 | (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) | |
| cost-diff | 704 | (*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| cost-diff | 384 | (/.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
| 4 266× | lower-fma.f32 |
| 4 252× | lower-fma.f64 |
| 3 656× | lower-*.f32 |
| 3 634× | lower-*.f64 |
| 2 036× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 411 |
| 0 | 79 | 389 |
| 1 | 156 | 387 |
| 2 | 316 | 387 |
| 3 | 557 | 387 |
| 4 | 1077 | 387 |
| 5 | 1906 | 387 |
| 6 | 2819 | 387 |
| 7 | 4259 | 387 |
| 8 | 5788 | 387 |
| 9 | 6122 | 387 |
| 10 | 6164 | 387 |
| 11 | 6189 | 387 |
| 12 | 6195 | 387 |
| 13 | 6878 | 387 |
| 14 | 7828 | 387 |
| 0 | 8011 | 387 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
y |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/720 binary64) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 x y) |
x |
y |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) |
y |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) |
#s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) |
(fma.f64 (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 x) #s(literal 1 binary64)) |
(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 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
x |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x z) |
z |
y |
| Outputs |
|---|
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.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 x z))) |
y |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
(/.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 x z)) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) |
(/.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))) x) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#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))) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(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)) |
x |
(*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(*.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))) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #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)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/720 binary64) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 (/.f64 y z) x) |
(/.f64 y (*.f64 x z)) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(/.f64 y (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 x y) |
x |
y |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (*.f64 x z))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
y |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(*.f64 y (/.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 x z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) |
(/.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 x z)) |
#s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) |
#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))) |
(fma.f64 (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 x) #s(literal 1 binary64)) |
(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)) |
(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 x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
x |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x z) |
z |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.265625 | (*.f64 x #s(literal 1/720 binary64)) | |
| accuracy | 1.46968896973781 | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| accuracy | 5.656254360354512 | #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) | |
| accuracy | 8.265625000000002 | (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) | |
| accuracy | 0.11556625976844202 | (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) | |
| accuracy | 2.230890607703955 | (*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 18.485190572632096 | #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 4.594897377925077 | (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) | |
| accuracy | 33.26924490490221 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 3.888808000884159 | (/.f64 (/.f64 y z) x) | |
| accuracy | 33.26924490490221 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| accuracy | 0.2634330983401158 | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) | |
| accuracy | 0.38671875 | (*.f64 x #s(literal 1/24 binary64)) | |
| accuracy | 1.46968896973781 | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| accuracy | 5.656254360354512 | #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 99.0ms | 256× | 0 | valid |
Compiled 259 to 48 computations (81.5% saved)
ival-mult: 34.0ms (44.5% of total)ival-div: 19.0ms (24.9% of total)ival-add: 14.0ms (18.3% of total)const: 6.0ms (7.9% of total)ival-cosh: 3.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) (patch (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) (patch (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.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) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (patch (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) (patch (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (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 x) #s(literal 1 binary64)) (patch (fma.f64 (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 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/24 binary64)) (patch (*.f64 x #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (* x z)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor 0 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 0 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 0 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 0 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 (* 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 (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/720 binary64)) (patch (*.f64 x #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (/ y z) |
| 1.0ms | x | @ | inf | (+ (* (* x (* x x)) 1/720) (* x 1/24)) |
| 0.0ms | x | @ | 0 | (+ (* (* x (* x x)) 1/720) (* x 1/24)) |
| 0.0ms | y | @ | 0 | (* y (/ (cosh x) z)) |
| 0.0ms | x | @ | inf | (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) |
| 1× | egg-herbie |
| 14 744× | lower-fma.f64 |
| 14 744× | lower-fma.f32 |
| 5 346× | lower-*.f64 |
| 5 346× | lower-*.f32 |
| 2 544× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 5262 |
| 1 | 303 | 5262 |
| 2 | 821 | 5178 |
| 3 | 1818 | 5148 |
| 4 | 2842 | 5142 |
| 5 | 4821 | 5136 |
| 6 | 6690 | 5136 |
| 7 | 7434 | 5136 |
| 0 | 8050 | 5031 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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 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)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
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(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp 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) |
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(/ 1 z) |
(/ 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) |
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(/ x y) |
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(/ x y) |
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(/ x y) |
(/ x y) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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))) |
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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))) |
(/ y (* x z)) |
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(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (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))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 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) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
| Outputs |
|---|
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.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)) (*.f64 x z)) |
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 x (*.f64 (/.f64 x z) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x z))) |
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 x z)) |
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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 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)))) |
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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 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)))) |
(* 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)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
| 5 872× | lower-fma.f32 |
| 5 858× | lower-fma.f64 |
| 4 108× | lower-*.f32 |
| 4 086× | lower-*.f64 |
| 4 066× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 296 |
| 0 | 79 | 280 |
| 1 | 303 | 280 |
| 2 | 2177 | 280 |
| 0 | 8324 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) |
(/.f64 (/.f64 y z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 y z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 x y) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) |
#s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) |
(fma.f64 (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 x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) #s(approx (cosh x) (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))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (cosh x) (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))) (*.f64 x (neg.f64 z)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cosh x) (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))) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cosh x) (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))) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 z))) (/.f64 #s(approx (cosh x) (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))) (*.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 #s(approx (cosh x) (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))) (*.f64 x (neg.f64 z)))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cosh x) (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))) (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) #s(approx (cosh x) (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))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x #s(approx (cosh x) (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)))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x z) #s(approx (cosh x) (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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x #s(approx (cosh x) (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)))) (neg.f64 z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 z)) (*.f64 #s(approx (cosh x) (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))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 (neg.f64 #s(approx (cosh x) (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)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (cosh x) (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))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (/.f64 #s(approx (cosh x) (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) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (neg.f64 #s(approx (cosh x) (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)))) z))) |
(/.f64 #s(approx (cosh x) (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))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (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 (/.f64 #s(literal 1 binary64) z) (/.f64 x #s(approx (cosh x) (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))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(approx (cosh x) (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)))) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x z) #s(approx (cosh x) (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)))))) |
(/.f64 (/.f64 #s(approx (cosh x) (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))) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (neg.f64 #s(approx (cosh x) (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)))) (*.f64 x (neg.f64 z))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 x #s(approx (cosh x) (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)))))) |
(/.f64 (*.f64 #s(approx (cosh x) (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))) #s(literal -1 binary64)) (*.f64 x (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 #s(approx (cosh x) (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)))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 z))) |
(/.f64 (/.f64 #s(approx (cosh x) (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))) z) x) |
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(*.f64 #s(literal 1 binary64) (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))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.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 (*.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 (*.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)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.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)) (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)) (*.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)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.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 (*.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 (*.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)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.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)) (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 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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.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)) (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)) (/.f64 #s(literal 1 binary64) (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)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.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 (*.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 (*.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))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.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)) (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)) (*.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))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.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)) (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))) (/.f64 #s(literal 1 binary64) (neg.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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.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)) (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cosh x) (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))))) |
(neg.f64 (neg.f64 #s(approx (cosh x) (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))))) |
#s(approx (cosh x) (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))) |
(*.f64 #s(approx (cosh x) (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))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (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))))) |
(/.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
(/.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
Compiled 26 232 to 1 965 computations (92.5% saved)
47 alts after pruning (41 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 301 | 16 | 1 317 |
| Fresh | 13 | 25 | 38 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 317 | 47 | 1 364 |
| Status | Accuracy | Program |
|---|---|---|
| 90.9% | (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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))) y) z) x) | |
| 89.0% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) | |
| 39.5% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) | |
| 69.9% | (/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) | |
| 81.6% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 78.1% | (/.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) | |
| 72.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) | |
| 30.0% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) | |
| 27.5% | (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) | |
| 45.0% | (/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) | |
| 62.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) | |
| 62.0% | (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) | |
| 76.3% | (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) | |
| ✓ | 85.9% | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
| 83.5% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) x) (/.f64 y z)) | |
| 77.6% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 81.0% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 73.0% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| 64.3% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) | |
| 65.8% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 36.3% | (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) | |
| 38.2% | (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) | |
| 35.8% | (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) | |
| 44.9% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) | |
| 61.9% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| 76.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (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)))) y) | |
| ✓ | 77.1% | (*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
| 47.1% | (*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) | |
| 71.3% | (*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) | |
| ✓ | 92.0% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
| 87.8% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| 91.8% | (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/720) (* x 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) | |
| 45.6% | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) | |
| ✓ | 45.6% | (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
| 51.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) | |
| 50.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) y) (*.f64 x z))) | |
| 72.6% | #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))) | |
| 74.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) | |
| 89.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) | |
| ✓ | 47.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) | |
| 47.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) | |
| 72.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x z))) | |
| ✓ | 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 45.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) | |
| 47.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) | |
| 44.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
Compiled 2 384 to 786 computations (67% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/720) (* x 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (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)))) y) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) x) (/.f64 y 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 (*.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 (*.f64 y #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64)))) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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))) y) z) x) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) (*.f64 (cosh.f64 x) (neg.f64 y)))) (*.f64 (neg.f64 z) (*.f64 x z))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
5 calls:
| 32.0ms | y |
| 28.0ms | z |
| 27.0ms | x |
| 25.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 24.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | y |
| 99.8% | 2 | z |
| 99.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/720) (* x 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (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)))) y) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) x) (/.f64 y 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 (*.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 (*.f64 y #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64)))) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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))) y) z) x) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
| Outputs |
|---|
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
5 calls:
| 40.0ms | y |
| 29.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 25.0ms | x |
| 24.0ms | z |
| 22.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | x |
| 94.2% | 2 | y |
| 93.8% | 2 | z |
| 94.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/720) (* x 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (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)))) y) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) x) (/.f64 y 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 (*.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 (*.f64 y #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64)))) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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))) y) z) x) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) y) (*.f64 x z))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
2 calls:
| 22.0ms | x |
| 21.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 92.0% | 1 | x |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/720) (* x 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (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)))) y) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) x) (/.f64 y z)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
2 calls:
| 20.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 19.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/720) (* x 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(approx (cosh x) (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)))) y) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
1 calls:
| 17.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
5 calls:
| 25.0ms | x |
| 21.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 20.0ms | z |
| 20.0ms | y |
| 18.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | x |
| 89.2% | 1 | z |
| 91.4% | 2 | y |
| 89.2% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 89.2% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
2 calls:
| 19.0ms | y |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | x |
| 91.2% | 2 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) y)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x #s(literal 1/720 binary64)))))) y) (*.f64 x z))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* x (* x 1/720)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x z)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 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 z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (*.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) (*.f64 x z))) |
(*.f64 #s(approx (cosh x) (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))) (/.f64 y (*.f64 x z))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
2 calls:
| 21.0ms | y |
| 21.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | y |
| 90.8% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 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) |
(/.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) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
5 calls:
| 16.0ms | z |
| 15.0ms | y |
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | z |
| 90.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 90.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 87.8% | 1 | x |
| 87.8% | 1 | y |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z)) |
2 calls:
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 90.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
5 calls:
| 13.0ms | z |
| 13.0ms | x |
| 12.0ms | y |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 2 | x |
| 82.6% | 3 | y |
| 84.3% | 3 | z |
| 80.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 80.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x 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))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x z))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) x) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x) |
5 calls:
| 15.0ms | y |
| 11.0ms | x |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 10.0ms | z |
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 80.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 80.1% | 2 | y |
| 78.3% | 1 | z |
| 78.3% | 1 | x |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y)) y) x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) |
5 calls:
| 12.0ms | y |
| 9.0ms | z |
| 9.0ms | x |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 8.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 2 | x |
| 79.3% | 2 | z |
| 78.2% | 2 | y |
| 78.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 78.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ (* y (cosh x)) x) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) |
| Outputs |
|---|
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z) |
2 calls:
| 12.0ms | z |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 2 | x |
| 72.9% | 1 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 y x)) z) |
| Outputs |
|---|
(*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
5 calls:
| 10.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 2 | z |
| 68.2% | 2 | y |
| 68.7% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 68.7% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 68.8% | 2 | x |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 2 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z)) |
4 calls:
| 8.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 68.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 66.4% | 1 | x |
| 66.4% | 1 | z |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) |
1 calls:
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
5 calls:
| 8.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 2 | x |
| 62.0% | 1 | z |
| 67.1% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 62.0% | 1 | y |
| 67.3% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
| Outputs |
|---|
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
(/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
(*.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (neg.f64 z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
5 calls:
| 8.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 2 | y |
| 50.4% | 2 | z |
| 50.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 50.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 47.2% | 1 | x |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
3 calls:
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | y |
| 47.2% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 50.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
| Outputs |
|---|
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
5 calls:
| 2.0ms | z |
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.6% | 1 | y |
| 45.6% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 45.6% | 1 | x |
| 45.6% | 1 | z |
| 45.6% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 32 to 22 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 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 |
|---|---|---|
| 45.6% | 1 | z |
| 45.6% | 1 | y |
| 45.6% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 45.6% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 45.6% | 1 | x |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.914597311502287e+292 | 3.559594744515515e+302 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.3042940551212813e+48 | 4.222303314930509e+48 |
| 5.0ms | 64× | 0 | valid |
Compiled 170 to 109 computations (35.9% saved)
ival-div: 1.0ms (50.8% of total)ival-cosh: 1.0ms (50.8% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.914597311502287e+292 | 3.559594744515515e+302 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.914597311502287e+292 | 3.559594744515515e+302 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.914597311502287e+292 | 3.559594744515515e+302 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.4652274292404177e+174 | 2.007142163226976e+175 |
| 5.0ms | 96× | 0 | valid |
Compiled 308 to 181 computations (41.2% saved)
ival-div: 1.0ms (34.8% of total)ival-mult: 1.0ms (34.8% of total)ival-cosh: 1.0ms (34.8% 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 |
|---|---|---|
| 7.0ms | 1.6055116012989227e+66 | 3.2352551602529332e+66 |
| 4.0ms | 80× | 0 | valid |
Compiled 259 to 163 computations (37.1% saved)
ival-div: 1.0ms (42.2% of total)ival-mult: 1.0ms (42.2% of total)ival-cosh: 1.0ms (42.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.4652274292404177e+174 | 2.007142163226976e+175 |
| 7.0ms | 80× | 0 | valid |
Compiled 284 to 181 computations (36.3% saved)
ival-div: 1.0ms (43.8% of total)ival-cosh: 1.0ms (43.8% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.914597311502287e+292 | 3.559594744515515e+302 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3039371274062039e+144 | 7.698534848366794e+148 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 7.741040174400558e+123 | 1.4254492635803138e+124 |
| 3.0ms | 64× | 0 | valid |
Compiled 170 to 109 computations (35.9% saved)
ival-div: 1.0ms (51.2% of total)ival-cosh: 1.0ms (51.2% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.741040174400558e+123 | 1.4254492635803138e+124 |
Compiled 170 to 109 computations (35.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 7.741040174400558e+123 | 1.4254492635803138e+124 |
| 2.0ms | 48× | 0 | valid |
Compiled 174 to 101 computations (42% saved)
ival-div: 1.0ms (73.3% 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 | 6.544619264151363e+306 | +inf |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.957399834080272e+28 | 8.857091307112432e+29 |
| 8.0ms | 96× | 0 | valid |
Compiled 218 to 145 computations (33.5% saved)
ival-div: 1.0ms (33.9% of total)ival-mult: 1.0ms (33.9% of total)ival-cosh: 1.0ms (33.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.6055116012989227e+66 | 3.2352551602529332e+66 |
| 2.0ms | 32× | 0 | valid |
Compiled 122 to 79 computations (35.2% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.5959723039938195e+106 | 2.7861850280379808e+107 |
| 6.0ms | 112× | 0 | valid |
Compiled 252 to 160 computations (36.5% saved)
ival-div: 1.0ms (28.7% of total)ival-mult: 1.0ms (28.7% of total)ival-cosh: 1.0ms (28.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.5959723039938195e+106 | 2.7861850280379808e+107 |
Compiled 238 to 146 computations (38.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.357013354803219e+138 | 1.3039371274062039e+144 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.357013354803219e+138 | 1.3039371274062039e+144 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.5478215982635163e+154 | 1.4737122528465086e+155 |
| 5.0ms | 96× | 0 | valid |
Compiled 224 to 133 computations (40.6% saved)
ival-div: 1.0ms (34% of total)ival-mult: 1.0ms (34% of total)ival-cosh: 1.0ms (34% 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 |
|---|---|---|
| 13.0ms | 0.01056357480750359 | 34649.73059128777 |
| 8.0ms | 144× | 0 | valid |
Compiled 275 to 175 computations (36.4% saved)
ival-div: 2.0ms (41.5% of total)ival-cosh: 2.0ms (41.5% of total)ival-mult: 1.0ms (20.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0650270978824968e+133 | 2.820494370923811e+144 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 788355684930660.4 | 17759980649901124.0 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 82× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 1246 |
| 1 | 261 | 1246 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(if (<=.f64 x #s(literal 4199999999999999697374710301679938714728969273344 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 y #s(literal 7799999999999999615240221265833801220335176170609760971919401739393672278393339371079253188366887821055464161949963990317718743408703117137292750242986537292577290282996858880 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 x #s(literal 3199999999999999974689236041076283226328195894215374571698185568256 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z)) |
(if (<=.f64 y #s(literal 4000000000000000275830270147378331750719304393409748396375131322386625282568835018264747198467621141706399931717669835521201535601913044782814326874309469591039329543005405184 binary64)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 x #s(literal 13999999999999999981507399086386968866996854764996030505449485130814861910869129846616259963107162276548980107089406786011136 binary64)) (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 x #s(literal 13999999999999999981507399086386968866996854764996030505449485130814861910869129846616259963107162276548980107089406786011136 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 x #s(literal 8799999999999999686420604497664679702036231979368458512266205794013929824466042420874774462074844985640916274985936732815360 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 z #s(literal 154999999999999994637867548672 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 x #s(literal 1799999999999999938994642878516515932291695543575091567590388006912 binary64)) (*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 z #s(literal 270000000000000014394539861927047021482094136650490565174385380791023124993783775336256363816939998228250624 binary64)) (*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)) |
(if (<=.f64 z #s(literal 270000000000000014394539861927047021482094136650490565174385380791023124993783775336256363816939998228250624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)))) |
(if (<=.f64 x #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000000000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(if (<=.f64 x #s(literal 4199999999999999697374710301679938714728969273344 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 y #s(literal 7799999999999999615240221265833801220335176170609760971919401739393672278393339371079253188366887821055464161949963990317718743408703117137292750242986537292577290282996858880 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x y)))))) y) x) z)) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 x #s(literal 3199999999999999974689236041076283226328195894215374571698185568256 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z)) |
(if (<=.f64 x #s(literal 3199999999999999974689236041076283226328195894215374571698185568256 binary64)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (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 x) #s(literal 1 binary64))) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z)) |
(if (<=.f64 y #s(literal 4000000000000000275830270147378331750719304393409748396375131322386625282568835018264747198467621141706399931717669835521201535601913044782814326874309469591039329543005405184 binary64)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x #s(approx (* x (+ (* x (* x 1/720)) 1/24)) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))) |
(if (<=.f64 x #s(literal 13999999999999999981507399086386968866996854764996030505449485130814861910869129846616259963107162276548980107089406786011136 binary64)) (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 x #s(literal 13999999999999999981507399086386968866996854764996030505449485130814861910869129846616259963107162276548980107089406786011136 binary64)) (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) z)) |
(if (<=.f64 x #s(literal 13999999999999999981507399086386968866996854764996030505449485130814861910869129846616259963107162276548980107089406786011136 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z)) y) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 x #s(literal 13999999999999999981507399086386968866996854764996030505449485130814861910869129846616259963107162276548980107089406786011136 binary64)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) z)) |
(if (<=.f64 x #s(literal 8799999999999999686420604497664679702036231979368458512266205794013929824466042420874774462074844985640916274985936732815360 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 x #s(literal 8799999999999999686420604497664679702036231979368458512266205794013929824466042420874774462074844985640916274985936732815360 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 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)) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) z)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 z #s(literal 154999999999999994637867548672 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) (/.f64 y (*.f64 (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x))) |
(if (<=.f64 z #s(literal 154999999999999994637867548672 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x)) (/.f64 y (*.f64 x (/.f64 z #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 x #s(literal 1799999999999999938994642878516515932291695543575091567590388006912 binary64)) (*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) z)) |
(if (<=.f64 x #s(literal 1799999999999999938994642878516515932291695543575091567590388006912 binary64)) (*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) z)) |
(if (<=.f64 z #s(literal 270000000000000014394539861927047021482094136650490565174385380791023124993783775336256363816939998228250624 binary64)) (*.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)) |
(if (<=.f64 z #s(literal 270000000000000014394539861927047021482094136650490565174385380791023124993783775336256363816939998228250624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)) |
(if (<=.f64 z #s(literal 270000000000000014394539861927047021482094136650490565174385380791023124993783775336256363816939998228250624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x z)))) |
(if (<=.f64 x #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 #s(literal 1/2 binary64) y))) y) (*.f64 x z))) (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z))) |
(if (<=.f64 x #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (*.f64 x #s(approx (* y (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) (*.f64 y #s(literal 1/2 binary64)))) y) (*.f64 x z))) (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 (*.f64 y #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000000000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))) |
(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z))) |
| 21 128× | lower-fma.f64 |
| 21 128× | lower-fma.f32 |
| 15 684× | lower-fma.f64 |
| 15 684× | lower-fma.f32 |
| 14 744× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 6920 |
| 1 | 650 | 6794 |
| 2 | 2067 | 6654 |
| 3 | 4813 | 6600 |
| 0 | 8242 | 6330 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 0 | 34 | 205 |
| 0 | 58 | 205 |
| 1 | 216 | 205 |
| 2 | 1477 | 205 |
| 0 | 8334 | 205 |
| 0 | 50 | 376 |
| 0 | 79 | 371 |
| 1 | 308 | 371 |
| 2 | 1880 | 351 |
| 0 | 8216 | 351 |
| 0 | 44 | 296 |
| 0 | 79 | 280 |
| 1 | 303 | 280 |
| 2 | 2177 | 280 |
| 0 | 8324 | 280 |
| 0 | 108 | 5262 |
| 1 | 303 | 5262 |
| 2 | 821 | 5178 |
| 3 | 1818 | 5148 |
| 4 | 2842 | 5142 |
| 5 | 4821 | 5136 |
| 6 | 6690 | 5136 |
| 7 | 7434 | 5136 |
| 0 | 8050 | 5031 |
| 0 | 198 | 6490 |
| 1 | 624 | 6370 |
| 2 | 2003 | 6228 |
| 3 | 5332 | 6188 |
| 0 | 8152 | 5933 |
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 599 | 988 |
| 3 | 1416 | 982 |
| 4 | 2110 | 982 |
| 5 | 2777 | 980 |
| 6 | 3318 | 980 |
| 7 | 4807 | 976 |
| 8 | 5464 | 976 |
| 9 | 5934 | 976 |
| 10 | 6466 | 976 |
| 11 | 7754 | 976 |
| 0 | 8037 | 958 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 308 to 963 computations (58.3% saved)
Compiled 2 142 to 532 computations (75.2% saved)
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