
Time bar (total: 13.9s)
| 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)
| 714.0ms | 8 256× | 0 | valid |
ival-div: 204.0ms (41.3% of total)ival-mult: 146.0ms (29.6% of total)ival-cosh: 133.0ms (26.9% of total)ival-true: 7.0ms (1.4% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 10 | 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 | 24 | 0 |
| ↳ | (cosh.f64 x) | overflow | 118 | |
| ↳ | (/.f64 y x) | underflow | 24 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 10 | 0 |
| ↳ | (cosh.f64 x) | overflow | 118 | |
| ↳ | (/.f64 y x) | overflow | 31 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 149 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 0 |
| - | 0 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 0 |
| - | 0 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 222 |
| 1 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-div: 36.0ms (80.2% of total)ival-cosh: 6.0ms (13.4% of total)ival-mult: 3.0ms (6.7% 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 y (cosh.f64 x)) (*.f64 z x)) |
(negabs z)
(negabs y)
(negabs x)
Compiled 11 to 7 computations (36.4% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.8% | (/.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 y (cosh.f64 x)) (*.f64 z x)) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(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 | 2.450980934422839 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 4.789062500000001 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-div: 3.0ms (38.9% of total)ival-cosh: 3.0ms (38.9% of total)ival-mult: 1.0ms (13% 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 (* 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 (* 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)) (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 (/ 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 (* 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)) (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 (/ 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 (* 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)) (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 (/ 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 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 (/ 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 (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 (/ 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 (* 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)) (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 (+ (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 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 (* 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)) (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 (+ (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 -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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | z | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 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 | 596 | 988 |
| 3 | 1406 | 982 |
| 4 | 2096 | 982 |
| 5 | 2761 | 980 |
| 6 | 3294 | 980 |
| 7 | 4780 | 976 |
| 8 | 5441 | 976 |
| 9 | 5911 | 976 |
| 10 | 6442 | 976 |
| 11 | 7732 | 976 |
| 0 | 8015 | 958 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y (* x 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) |
(/ 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 |
(+ 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))))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y 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)) |
(* 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 (+ (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) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 (+ (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) |
| Outputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(/ 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 (pow.f64 (neg.f64 (*.f64 z (/.f64 x (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 z (/.f64 x (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) z) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) z) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (cosh.f64 x) x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) z))) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 z)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) z)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) z))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 z x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x))) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(*.f64 (*.f64 y (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (cosh.f64 x)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (cosh.f64 x) x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))) |
(*.f64 (neg.f64 y) (neg.f64 (/.f64 (/.f64 (cosh.f64 x) x) z))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) x) (cosh.f64 x)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 (neg.f64 z) x)))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cosh.f64 x) z))) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 z x)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (cosh.f64 x))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) z))) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)) (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)))) (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)) (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) z)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal -2 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))))) (*.f64 #s(literal 2 binary64) x)) |
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(neg.f64 (/.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
Compiled 6 745 to 1 060 computations (84.3% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 465 | 16 | 481 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 466 | 16 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.9% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 81.8% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 79.1% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 71.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
| 82.0% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| 52.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 68.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) | |
| 90.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) | |
| 87.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) | |
| ▶ | 82.0% | (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
| 88.5% | (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) | |
| 85.5% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| ▶ | 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| ▶ | 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
| 73.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 66.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
Compiled 520 to 304 computations (41.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 y (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 384 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 y (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 y (cosh.f64 x)) | |
| cost-diff | 0 | (/.f64 (*.f64 y (cosh.f64 x)) z) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 14 636× | lower-fma.f32 |
| 14 628× | lower-fma.f64 |
| 4 044× | lower-*.f32 |
| 4 032× | lower-*.f64 |
| 3 314× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 227 |
| 0 | 50 | 227 |
| 1 | 95 | 227 |
| 2 | 186 | 227 |
| 3 | 441 | 227 |
| 4 | 1245 | 227 |
| 5 | 3880 | 225 |
| 6 | 6754 | 225 |
| 7 | 7610 | 225 |
| 8 | 7952 | 225 |
| 0 | 8007 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
(*.f64 y (cosh.f64 x)) |
y |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
(cosh.f64 x) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
(/.f64 (*.f64 (cosh.f64 x) y) z) |
(*.f64 y (cosh.f64 x)) |
(*.f64 (cosh.f64 x) y) |
y |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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 (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
(cosh.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 4.980468750000001 | (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) | |
| accuracy | 5.106452930887211 | (/.f64 y (*.f64 z x)) | |
| accuracy | 0.09765625 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 5.106452930887211 | (/.f64 y (*.f64 z x)) | |
| accuracy | 6.781390865407963 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| accuracy | 6.97658317778056 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 2.450980934422839 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| accuracy | 4.789062500000001 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) | |
| accuracy | 15.90786121267755 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 5.106452930887211 | (/.f64 y (*.f64 z x)) | |
| accuracy | 28.0014749484137 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 y (cosh.f64 x)) z) | |
| accuracy | 0.00390625 | (*.f64 y (cosh.f64 x)) | |
| accuracy | 4.5675145085895945 | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 120.0ms | 256× | 0 | valid |
Compiled 189 to 29 computations (84.7% saved)
ival-mult: 31.0ms (53.8% of total)ival-div: 11.0ms (19.1% of total)ival-add: 7.0ms (12.1% of total)const: 6.0ms (10.4% of total)ival-cosh: 3.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y (cosh.f64 x)) z) (patch (/.f64 (*.f64 y (cosh.f64 x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (cosh.f64 x)) (patch (*.f64 y (cosh.f64 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 z x))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) (patch (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (patch (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (cosh.f64 x)) z) (patch (/.f64 (*.f64 y (cosh.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (cosh.f64 x)) z) (patch (/.f64 (*.f64 y (cosh.f64 x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (patch (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (patch (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (patch (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (patch (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | 0 | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ y (* z x)) (cosh x)) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 6.0ms | z | @ | inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ y (* z x)) (cosh x)) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 4.0ms | x | @ | -inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ y (* z x)) (cosh x)) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 4.0ms | y | @ | -inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ y (* z x)) (cosh x)) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 3.0ms | z | @ | -inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ y (* z x)) (cosh x)) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
| 29 114× | lower-fma.f64 |
| 29 114× | lower-fma.f32 |
| 6 252× | lower-*.f64 |
| 6 252× | lower-*.f32 |
| 3 028× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 5446 |
| 1 | 441 | 5438 |
| 2 | 1380 | 5316 |
| 3 | 4142 | 5300 |
| 0 | 8609 | 5121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) 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)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ (* 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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp 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)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ (* 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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp 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)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ (* 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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp 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))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp 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))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp 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))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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) |
(/ 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)) |
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 |
(+ 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))))))) |
(/ 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) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ 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 |
(+ 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 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ 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 |
(+ 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 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (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)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 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 (+ (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 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 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 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 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))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp 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))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (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)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 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 (+ (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 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x 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))))))) |
(* 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 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 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))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* -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))))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| 8 944× | lower-fma.f32 |
| 8 936× | lower-fma.f64 |
| 6 120× | lower-*.f32 |
| 6 108× | lower-*.f64 |
| 3 344× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 182 |
| 0 | 50 | 182 |
| 1 | 181 | 182 |
| 2 | 1196 | 182 |
| 0 | 8489 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
(*.f64 y (cosh.f64 x)) |
(cosh.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(*.f64 x x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) z)) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) x)) (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (cosh.f64 x)) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) z) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (cosh.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (cosh.f64 x) x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) x)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 y (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (neg.f64 y) z)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal 1/17280 binary64)))) (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
Compiled 41 782 to 2 510 computations (94% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 735 | 38 | 1 773 |
| Fresh | 9 | 2 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 746 | 43 | 1 789 |
| Status | Accuracy | Program |
|---|---|---|
| 80.1% | (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) | |
| ✓ | 92.9% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 87.1% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) | |
| 85.5% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) | |
| 85.9% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 74.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) | |
| 71.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 28.9% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) | |
| 52.8% | (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) | |
| 52.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 68.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) | |
| 65.5% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) | |
| 73.1% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| ✓ | 82.0% | (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
| 73.7% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 66.2% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ▶ | 68.9% | (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
| 84.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x)))) | |
| 75.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) | |
| 75.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) | |
| 80.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| ✓ | 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 52.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) | |
| 87.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) | |
| 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ▶ | 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 66.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ▶ | 76.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
| 76.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ▶ | 90.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
| 52.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) | |
| 52.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) | |
| ▶ | 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
| 80.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) | |
| 39.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
Compiled 1 895 to 1 029 computations (45.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) | |
| cost-diff | 448 | (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 704 | (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 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 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) | |
| cost-diff | 320 | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 704 | (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) |
| 7 078× | lower-fma.f32 |
| 7 068× | lower-fma.f64 |
| 4 450× | lower-*.f32 |
| 4 424× | lower-*.f64 |
| 1 798× | lower-neg.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 536 |
| 0 | 77 | 529 |
| 1 | 148 | 507 |
| 2 | 365 | 507 |
| 3 | 1327 | 507 |
| 4 | 4261 | 507 |
| 0 | 8025 | 507 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal 1 binary64) z) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
#s(literal 1 binary64) |
(*.f64 z x) |
z |
x |
y |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z 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 #s(literal 1 binary64) (*.f64 z x)) |
(*.f64 z x) |
z |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) |
(neg.f64 y) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
z |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 (*.f64 x 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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal 1 binary64) z) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) |
(/.f64 y (*.f64 z x)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
#s(literal 1 binary64) |
(*.f64 z x) |
z |
x |
y |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(*.f64 (/.f64 y (*.f64 z x)) #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 #s(literal 1 binary64) (*.f64 z x))) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z 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 #s(literal 1 binary64) (*.f64 z x)) |
(*.f64 z x) |
z |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 #s(literal 1/720 binary64) (*.f64 x x) #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 (*.f64 x 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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 y (*.f64 z x)) |
(neg.f64 y) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26171875 | (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 5.0534637737633235 | (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 6.781390865407963 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) | |
| accuracy | 6.97658317778056 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) | |
| accuracy | 5.106452930887211 | (/.f64 y (*.f64 z x)) | |
| accuracy | 6.781390865407963 | (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| accuracy | 6.97658317778056 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| accuracy | 33.1175253543316 | #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) | |
| accuracy | 0.4028241248278096 | (/.f64 #s(literal 1 binary64) (*.f64 z x)) | |
| accuracy | 2.4710324862008144 | (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) | |
| accuracy | 4.984375000000001 | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) | |
| accuracy | 15.90786121267755 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.4028241248278096 | (/.f64 #s(literal 1 binary64) (*.f64 z x)) | |
| accuracy | 5.0534637737633235 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) | |
| accuracy | 28.0014749484137 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) | |
| accuracy | 0.9345591452765407 | (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) | |
| accuracy | 1.8937713093564992 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) | |
| accuracy | 4.135652522993723 | (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 6.97658317778056 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
| 193.0ms | 256× | 0 | valid |
Compiled 425 to 41 computations (90.4% saved)
ival-mult: 25.0ms (47.2% of total)ival-div: 12.0ms (22.7% of total)const: 6.0ms (11.3% of total)ival-add: 4.0ms (7.6% of total)ival-cosh: 3.0ms (5.7% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (patch (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) #<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 #s(literal 1 binary64) (*.f64 z x))) y) (patch (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) #<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 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) (patch (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (patch #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (patch (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
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#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (patch (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
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#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ 1 z)) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ 1 (* z x)) y) (/ (* (cosh x) (/ y x)) z) (/ 1 (* z x)) (* z x) (* (cosh x) (/ 1 (* z x))) (* (* (cosh x) (/ 1 (* z x))) y) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ -1 x) (/ 1 z)) (* (neg y) (* (/ -1 x) (/ 1 z))) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (neg y) (* (/ -1 x) (/ 1 z)))) (/ y (* z x))) |
| 4.0ms | y | @ | -inf | ((* (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ 1 z)) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ 1 (* z x)) y) (/ (* (cosh x) (/ y x)) z) (/ 1 (* z x)) (* z x) (* (cosh x) (/ 1 (* z x))) (* (* (cosh x) (/ 1 (* z x))) y) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ -1 x) (/ 1 z)) (* (neg y) (* (/ -1 x) (/ 1 z))) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (neg y) (* (/ -1 x) (/ 1 z)))) (/ y (* z x))) |
| 4.0ms | x | @ | inf | ((* (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ 1 z)) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ 1 (* z x)) y) (/ (* (cosh x) (/ y x)) z) (/ 1 (* z x)) (* z x) (* (cosh x) (/ 1 (* z x))) (* (* (cosh x) (/ 1 (* z x))) y) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ -1 x) (/ 1 z)) (* (neg y) (* (/ -1 x) (/ 1 z))) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (neg y) (* (/ -1 x) (/ 1 z)))) (/ y (* z x))) |
| 4.0ms | z | @ | -inf | ((* (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ 1 z)) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ 1 (* z x)) y) (/ (* (cosh x) (/ y x)) z) (/ 1 (* z x)) (* z x) (* (cosh x) (/ 1 (* z x))) (* (* (cosh x) (/ 1 (* z x))) y) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ -1 x) (/ 1 z)) (* (neg y) (* (/ -1 x) (/ 1 z))) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (neg y) (* (/ -1 x) (/ 1 z)))) (/ y (* z x))) |
| 3.0ms | z | @ | inf | ((* (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ 1 z)) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ 1 (* z x)) y) (/ (* (cosh x) (/ y x)) z) (/ 1 (* z x)) (* z x) (* (cosh x) (/ 1 (* z x))) (* (* (cosh x) (/ 1 (* z x))) y) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ -1 x) (/ 1 z)) (* (neg y) (* (/ -1 x) (/ 1 z))) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (neg y) (* (/ -1 x) (/ 1 z)))) (/ y (* z x))) |
| 1× | egg-herbie |
| 28 666× | lower-fma.f64 |
| 28 666× | lower-fma.f32 |
| 4 972× | lower-*.f64 |
| 4 972× | lower-*.f32 |
| 3 808× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 7796 |
| 1 | 615 | 7792 |
| 2 | 1941 | 7582 |
| 3 | 5693 | 7576 |
| 0 | 8276 | 7170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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)) |
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(/ y (* x z)) |
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(* 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 (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* 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 (+ (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 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 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 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(/ -1 (* x z)) |
(/ -1 (* x z)) |
(/ -1 (* x z)) |
(/ -1 (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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)))))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x 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))))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(* 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 (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* 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 (+ (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 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x 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))))))) |
(* 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 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(/ -1 (* x z)) |
(/ -1 (* x z)) |
(/ -1 (* x z)) |
(/ -1 (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x 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 (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
| Outputs |
|---|
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
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(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) z) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (/.f64 y (*.f64 (*.f64 z x) x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (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)))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) z) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (/.f64 y (*.f64 (*.f64 z x) x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -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))))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1/720 binary64)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) y (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) y (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (* (pow x 6) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) y) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) y (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) y (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) z) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (/.f64 y (*.f64 (*.f64 z x) x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -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))))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ -1 (* x z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) z) (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/720 binary64)) (*.f64 (/.f64 y (*.f64 (*.f64 z x) x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -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))))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
| 5 270× | lower-fma.f32 |
| 5 260× | lower-fma.f64 |
| 4 256× | lower-*.f32 |
| 4 230× | lower-*.f64 |
| 3 948× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 382 |
| 0 | 77 | 353 |
| 1 | 257 | 353 |
| 2 | 1673 | 353 |
| 0 | 8314 | 353 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(*.f64 z x) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) 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(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 y (*.f64 z x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) y) (*.f64 z x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 -1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) (neg.f64 z)) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) (neg.f64 x)) (/.f64 y z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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(literal -1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (*.f64 z x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (neg.f64 z)) (/.f64 y x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) (neg.f64 z)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) (neg.f64 x)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 y (*.f64 (neg.f64 x) z))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 x)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) z) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 x))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))) |
(*.f64 (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (neg.f64 x) z)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 y x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 y x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (*.f64 (neg.f64 x) z))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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)) (neg.f64 z))) |
(*.f64 (/.f64 y z) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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) #s(literal 1 binary64))) |
(*.f64 (/.f64 y z) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (/.f64 #s(literal -1 binary64) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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))) z) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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))) z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y (*.f64 (neg.f64 x) z)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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))) z)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (neg.f64 x) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (*.f64 z x))) |
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(fma.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x))) (/.f64 y (*.f64 (neg.f64 x) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (neg.f64 x) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 y (*.f64 (neg.f64 x) z)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 x) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x 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 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x))) (/.f64 y (*.f64 z x))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x))) |
(+.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 y (*.f64 z x)))) |
(+.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) #s(literal -1 binary64)) y) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y (*.f64 (neg.f64 x) z)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (neg.f64 x) z))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))) |
(pow.f64 (*.f64 (/.f64 x y) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 x) z)) (/.f64 y (*.f64 (neg.f64 x) z)))) (+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (neg.f64 x) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (*.f64 (neg.f64 x) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (*.f64 (neg.f64 x) z)) (/.f64 y (*.f64 (neg.f64 x) z)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (neg.f64 x) z)))))) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 (neg.f64 x) z) y)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 (neg.f64 x) z))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 z)) |
(/.f64 (/.f64 y z) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) z) y)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(/.f64 y (*.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 x) z)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)))) |
(neg.f64 (*.f64 (/.f64 y (*.f64 (neg.f64 x) z)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 x) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y (*.f64 (neg.f64 x) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (neg.f64 x) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 z x))) |
Compiled 55 137 to 2 254 computations (95.9% saved)
46 alts after pruning (41 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 842 | 14 | 1 856 |
| Fresh | 8 | 27 | 35 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 853 | 46 | 1 899 |
| Status | Accuracy | Program |
|---|---|---|
| 80.1% | (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) | |
| ✓ | 92.9% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 85.5% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) | |
| 85.9% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 74.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) | |
| 71.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 28.9% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) | |
| 52.8% | (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) | |
| ▶ | 52.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 68.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) | |
| 65.5% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) | |
| 67.4% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 80.4% | (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) | |
| ▶ | 68.9% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
| 73.1% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| ✓ | 82.0% | (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
| 73.7% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 66.2% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 77.5% | (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) | |
| 75.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) | |
| 75.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) | |
| ▶ | 86.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
| 80.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) | |
| ✓ | 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 52.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) | |
| 86.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) | |
| 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ▶ | 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 79.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) | |
| 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) | |
| 52.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) | |
| ✓ | 90.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
| 52.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) | |
| 52.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) | |
| ✓ | 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
| ▶ | 39.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
Compiled 1 824 to 999 computations (45.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| cost-diff | 768 | (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) | |
| 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 z x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
| 9 736× | lower-fma.f32 |
| 9 726× | lower-fma.f64 |
| 4 238× | lower-*.f32 |
| 4 212× | lower-*.f64 |
| 1 540× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 598 |
| 0 | 87 | 590 |
| 1 | 170 | 554 |
| 2 | 380 | 540 |
| 3 | 871 | 532 |
| 4 | 2456 | 532 |
| 5 | 5289 | 528 |
| 6 | 7227 | 528 |
| 7 | 7238 | 528 |
| 8 | 7413 | 528 |
| 9 | 7528 | 528 |
| 0 | 8179 | 512 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z 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 z x) |
z |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(*.f64 (/.f64 y z) #s(literal 1/720 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal 1/720 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) x) #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) y) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 z x)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(*.f64 z x) |
z |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) y) x) z))) |
#s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) |
#s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) y) x) z)) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) y) x) z) |
(*.f64 (/.f64 y z) #s(literal 1/720 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal 1/720 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3028520830398857 | (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) | |
| accuracy | 5.106452930887211 | (/.f64 y (*.f64 z x)) | |
| accuracy | 6.781390865407963 | (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| accuracy | 6.97658317778056 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| accuracy | 0.23828125 | (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) | |
| accuracy | 6.97658317778056 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) | |
| accuracy | 8.083147454199262 | (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) | |
| accuracy | 32.29862975486127 | #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 2.4710324862008144 | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) | |
| accuracy | 5.503906250000001 | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) | |
| accuracy | 15.90786121267755 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 2.450980934422839 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| accuracy | 29.25986749428927 | #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) | |
| accuracy | 1.8937713093564992 | (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) | |
| accuracy | 5.511448419681027 | (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) | |
| accuracy | 6.97658317778056 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) | |
| accuracy | 33.1175253543316 | #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
| 118.0ms | 256× | 0 | valid |
Compiled 408 to 47 computations (88.5% saved)
ival-mult: 32.0ms (37.2% of total)ival-add: 29.0ms (33.7% of total)ival-div: 13.0ms (15.1% of total)const: 8.0ms (9.3% of total)ival-cosh: 3.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) (patch (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) (patch (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z 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) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) (patch #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (patch (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (patch (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (patch (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) (patch (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (patch #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) (patch (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) (patch (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) (patch (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) (patch (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | 0 | ((/ (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (* (/ (cosh x) (* z x)) y) (/ (cosh x) (* z x)) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (* (* (/ y z) 1/720) (* (* (* (* x x) x) x) x)) (* (/ y z) 1/720) (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (/ y (* z x)) (* (* (* (* x x) x) x) 1/720)) |
| 8.0ms | z | @ | -inf | ((/ (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (* (/ (cosh x) (* z x)) y) (/ (cosh x) (* z x)) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (* (* (/ y z) 1/720) (* (* (* (* x x) x) x) x)) (* (/ y z) 1/720) (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (/ y (* z x)) (* (* (* (* x x) x) x) 1/720)) |
| 7.0ms | y | @ | -inf | ((/ (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (* (/ (cosh x) (* z x)) y) (/ (cosh x) (* z x)) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (* (* (/ y z) 1/720) (* (* (* (* x x) x) x) x)) (* (/ y z) 1/720) (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (/ y (* z x)) (* (* (* (* x x) x) x) 1/720)) |
| 6.0ms | y | @ | 0 | ((/ (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (* (/ (cosh x) (* z x)) y) (/ (cosh x) (* z x)) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (* (* (/ y z) 1/720) (* (* (* (* x x) x) x) x)) (* (/ y z) 1/720) (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (/ y (* z x)) (* (* (* (* x x) x) x) 1/720)) |
| 5.0ms | x | @ | inf | ((/ (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (* (/ (cosh x) (* z x)) y) (/ (cosh x) (* z x)) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (* (* (/ y z) 1/720) (* (* (* (* x x) x) x) x)) (* (/ y z) 1/720) (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (* (* (* x x) x) x) 1/720) (+ (* (* x x) 1/24) 1/2)) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (/ y (* z x)) (* (* (* (* x x) x) x) 1/720)) |
| 1× | egg-herbie |
| 23 436× | lower-fma.f64 |
| 23 436× | lower-fma.f32 |
| 5 218× | lower-*.f64 |
| 5 218× | lower-*.f32 |
| 3 556× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 8502 |
| 1 | 591 | 8496 |
| 2 | 1816 | 8260 |
| 3 | 5342 | 8250 |
| 0 | 8093 | 7799 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
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(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
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(/ (* 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)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
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(/ y (* x z)) |
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(* -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))))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 6) (+ (* 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 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)))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (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)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x 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))))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 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))) |
(* 1/720 (/ (* (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))))))) |
(* 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 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* 1/720 (pow x 4)) |
(* 1/720 (pow x 4)) |
(* 1/720 (pow x 4)) |
(* 1/720 (pow x 4)) |
| Outputs |
|---|
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/720 binary64)) |
(* 1/720 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/720 binary64)) |
(* 1/720 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/720 binary64)) |
(* 1/720 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/720 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (+ (* 1/720 (pow x 4)) (* 1/24 (pow x 2))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (+ (* 1/720 (pow x 4)) (* 1/24 (pow x 2))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (+ (* 1/720 (pow x 4)) (* 1/24 (pow x 2))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (+ (* 1/720 (pow x 4)) (* 1/24 (pow x 2))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -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))))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -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))))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (/.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) z)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) 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 (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
| 4 858× | lower-/.f32 |
| 4 844× | lower-/.f64 |
| 4 634× | lower-fma.f32 |
| 4 624× | lower-fma.f64 |
| 4 230× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 463 |
| 0 | 87 | 440 |
| 1 | 321 | 416 |
| 2 | 2262 | 416 |
| 0 | 8196 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z 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) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) |
(*.f64 (/.f64 y z) #s(literal 1/720 binary64)) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(*.f64 x x) |
(/.f64 y (*.f64 z x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y (neg.f64 z))) |
(*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 z)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 y z)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 y z)) x)) |
(*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 z x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (neg.f64 y) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 z))) |
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(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) z)) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 (neg.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (neg.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 z x) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))) |
(pow.f64 (*.f64 (/.f64 z y) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (neg.f64 x) z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z x)) |
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (neg.f64 x) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z x) y))) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 y z) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 y z) x) |
(/.f64 (/.f64 y x) (*.f64 z #s(literal 1 binary64))) |
(/.f64 (/.f64 y x) z) |
(/.f64 y (*.f64 (*.f64 z x) #s(literal 1 binary64))) |
(/.f64 y (*.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 z x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 z x))) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 x) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z)) (/.f64 y (*.f64 (neg.f64 x) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) x)) x) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/720 binary64)) x)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/720 binary64)) x) (*.f64 x x)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
Compiled 46 080 to 2 499 computations (94.6% saved)
48 alts after pruning (42 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 498 | 22 | 1 520 |
| Fresh | 16 | 20 | 36 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 518 | 48 | 1 566 |
| Status | Accuracy | Program |
|---|---|---|
| 78.6% | (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) | |
| ✓ | 92.9% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 78.9% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) | |
| 85.9% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 71.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 74.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) | |
| 28.9% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) | |
| 52.8% | (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) | |
| ✓ | 52.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 68.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) | |
| 65.5% | (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) | |
| 67.4% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 77.5% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) | |
| 73.1% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 25.4% | (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) | |
| ✓ | 82.0% | (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
| 66.2% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 52.4% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) | |
| 75.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) | |
| 75.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) | |
| 80.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 80.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) | |
| ✓ | 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 52.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) | |
| 86.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) x))) | |
| 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) | |
| 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 57.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ✓ | 76.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
| 76.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) | |
| 52.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) | |
| 87.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) x))) | |
| 52.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
| 43.9% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) | |
| 39.2% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) | |
| 39.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) | |
| 39.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) | |
| 38.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) | |
| 38.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) | |
| 39.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) | |
| 43.9% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) | |
| 43.5% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
Compiled 2 589 to 784 computations (69.7% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
5 calls:
| 50.0ms | x |
| 28.0ms | y |
| 27.0ms | z |
| 24.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 24.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 96.1% | 2 | y |
| 94.7% | 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 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
2 calls:
| 38.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 21.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 98.7% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
2 calls:
| 34.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 30.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 98.4% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
3 calls:
| 42.0ms | x |
| 37.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 21.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 98.2% | 3 | x |
| 94.4% | 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 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (/.f64 y (*.f64 z x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
4 calls:
| 73.0ms | x |
| 29.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 27.0ms | y |
| 22.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 90.4% | 1 | z |
| 94.1% | 2 | y |
| 90.4% | 1 | x |
Compiled 23 to 16 computations (30.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
3 calls:
| 22.0ms | y |
| 16.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 16.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 93.8% | 2 | y |
| 94.1% | 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 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
2 calls:
| 48.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 15.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 94.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 z x))) y)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
3 calls:
| 52.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 17.0ms | y |
| 15.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | y |
| 92.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 92.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
5 calls:
| 44.0ms | x |
| 16.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 13.0ms | z |
| 13.0ms | y |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | y |
| 92.1% | 3 | x |
| 87.7% | 1 | z |
| 87.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 87.7% | 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 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 z (*.f64 y #s(literal 1/720 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #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 z x))) y) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
2 calls:
| 43.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 3 | x |
| 84.9% | 2 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 3 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/720 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 y #s(literal 1/720 binary64)) z) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
4 calls:
| 50.0ms | x |
| 40.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 11.0ms | z |
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 2 | z |
| 86.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 86.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 90.5% | 4 | x |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x) |
2 calls:
| 18.0ms | x |
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 85.5% | 3 | x |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y) |
4 calls:
| 12.0ms | z |
| 9.0ms | y |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 8.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 2 | y |
| 83.0% | 2 | z |
| 84.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 84.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
5 calls:
| 21.0ms | x |
| 7.0ms | z |
| 7.0ms | y |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 6.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 2 | y |
| 73.1% | 1 | z |
| 77.1% | 3 | x |
| 77.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 77.0% | 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 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
4 calls:
| 34.0ms | y |
| 7.0ms | x |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 6.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 3 | x |
| 71.0% | 1 | y |
| 74.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 74.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
3 calls:
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 72.9% | 2 | z |
| 75.3% | 3 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
2 calls:
| 33.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 74.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
5 calls:
| 35.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 1 | y |
| 68.9% | 1 | z |
| 71.0% | 2 | x |
| 72.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 72.5% | 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 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
5 calls:
| 5.0ms | z |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 2 | y |
| 66.2% | 1 | z |
| 71.4% | 3 | x |
| 71.2% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 71.4% | 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 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y) |
3 calls:
| 33.0ms | x |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 63.6% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 71.2% | 3 | x |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 x) y)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) |
5 calls:
| 34.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 59.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 59.7% | 2 | z |
| 59.8% | 2 | y |
| 58.5% | 3 | x |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
5 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 2.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 2 | x |
| 56.0% | 2 | z |
| 56.1% | 2 | y |
| 56.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 56.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
Total -0.3b remaining (-0.9%)
Threshold costs -0.3b (-0.9%)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
5 calls:
| 4.0ms | z |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 1 | x |
| 52.7% | 1 | z |
| 52.7% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 52.7% | 1 | y |
| 52.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3908019576348873e+209 | 2.0886379926186853e+209 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.3908019576348873e+209 | 2.0886379926186853e+209 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 4.8469128411199504e+26 | 5.088020775752733e+27 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.95223057575032e+60 | 7.860753219803502e+71 |
| 11.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
| 15.0ms | 288× | 0 | valid |
Compiled 536 to 341 computations (36.4% saved)
ival-div: 4.0ms (47.3% of total)ival-cosh: 3.0ms (35.5% of total)ival-mult: 2.0ms (23.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.95223057575032e+60 | 7.860753219803502e+71 |
| 1.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
Compiled 536 to 341 computations (36.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.805838902394167e-46 | 7.488427765012189e-36 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.334644128301746e+228 | 4.8843777232051317e+232 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.334644128301746e+228 | 4.8843777232051317e+232 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.805838902394167e-46 | 7.488427765012189e-36 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.3525335498059483e+64 | 3.736672463711354e+69 |
| 8.0ms | 144× | 0 | valid |
Compiled 365 to 229 computations (37.3% saved)
ival-div: 2.0ms (42.1% of total)ival-cosh: 2.0ms (42.1% of total)ival-mult: 1.0ms (21% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.27367024969158316 | 7.001986135332384 |
| 1.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
| 7.0ms | 112× | 0 | valid |
Compiled 587 to 356 computations (39.4% saved)
ival-cosh: 2.0ms (48.8% of total)ival-div: 1.0ms (24.4% of total)ival-mult: 1.0ms (24.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 0.27367024969158316 | 7.001986135332384 |
| 1.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
| 4.0ms | 64× | 0 | valid |
Compiled 512 to 326 computations (36.3% saved)
ival-div: 1.0ms (43.2% of total)ival-cosh: 1.0ms (43.2% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.98310616393255e+147 | 5.419621095744182e+149 |
| 10.0ms | 8.38113671794022e+32 | 6.54597755551576e+34 |
| 1.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
| 11.0ms | 224× | 0 | valid |
Compiled 778 to 487 computations (37.4% saved)
ival-div: 3.0ms (45.6% of total)ival-cosh: 2.0ms (30.4% of total)ival-mult: 1.0ms (15.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1711311078199708e+245 | 1.537874037183283e+246 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1891493848435403e+291 | 1.1930239861886538e+295 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.739523444031419e+179 | 1.745967668159776e+186 |
| 1.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
| 1.0ms | 16× | 0 | valid |
Compiled 280 to 186 computations (33.6% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.8843777232051317e+232 | 3.8072147768159173e+233 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3423929082209858e+150 | 3.6882417318084883e+155 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7432111994749215e+131 | 6.617047285502332e+141 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 62711724745622.38 | 697308557471661400.0 |
| 1.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
| 1.0ms | 16× | 0 | valid |
Compiled 280 to 186 computations (33.6% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.27367024969158316 | 7.001986135332384 |
| 1.0ms | 2.2016029107780197e-195 | 5.356664480372173e-192 |
| 6.0ms | 96× | 0 | valid |
Compiled 379 to 237 computations (37.5% saved)
ival-cosh: 2.0ms (57% of total)ival-div: 1.0ms (28.5% of total)ival-mult: 1.0ms (28.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.334644128301746e+228 | 4.8843777232051317e+232 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.8843777232051317e+232 | 3.8072147768159173e+233 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 76× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 1509 |
| 1 | 260 | 1509 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000006643777536 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 y #s(literal 5200000000000000239478322934282320537890806209626323452948599799808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x)) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 3602879701896397/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 9/2 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 1099999999999999968955791700918272 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) (if (<=.f64 x #s(literal 540000000000000015090577283462423448135818083656530850646676621539346170442143406129576149021686738476545887525459837564594453678168765805757078700032 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 400000000000000017731182663833389754001715866434545024320791751323853908330475647438336713460680306769804043554251367888401641062493226907318916710755648593301821119240419884132410307647999267666544952210931008429091507822685721726983789711720448 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y)) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 500000000000000004624273009945799222283105170828773307953760694316703252854059194654227454321251103268040938522170494571846899043109065616186937831656979356349972484853252378066944 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 100000000000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) (if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x) (/.f64 #s(literal 1 binary64) z)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 500000000000000006643777536 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x))))))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 500000000000000006643777536 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)) x) (/.f64 #s(literal 1 binary64) z)) y))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) z))))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) z) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) z) x)) |
(if (<=.f64 y #s(literal 5200000000000000239478322934282320537890806209626323452948599799808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) z) x)) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 3602879701896397/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 3602879701896397/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 9/2 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 y #s(literal 1/720 binary64))) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 9/2 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) z))))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 1099999999999999968955791700918272 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) (if (<=.f64 x #s(literal 540000000000000015090577283462423448135818083656530850646676621539346170442143406129576149021686738476545887525459837564594453678168765805757078700032 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/720 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y)))) |
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(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 400000000000000017731182663833389754001715866434545024320791751323853908330475647438336713460680306769804043554251367888401641062493226907318916710755648593301821119240419884132410307647999267666544952210931008429091507822685721726983789711720448 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y)) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) x) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y)) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 z x)) y)) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 500000000000000004624273009945799222283105170828773307953760694316703252854059194654227454321251103268040938522170494571846899043109065616186937831656979356349972484853252378066944 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 100000000000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 100000000000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 z x)) y))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 z x)) y))) |
(if (<=.f64 x #s(literal 18492665278881/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 z x)) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 9999999999999999918388610622944277578633427011520373324179896670642961784527024602806390495869308408470337715685294734193992593398889846197223766553446979093051960385337504355687757672562640543404353314227442034427503713670135808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 29 114× | lower-fma.f64 |
| 29 114× | lower-fma.f32 |
| 23 436× | lower-fma.f64 |
| 23 436× | lower-fma.f32 |
| 15 684× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 5446 |
| 1 | 441 | 5438 |
| 2 | 1380 | 5316 |
| 3 | 4142 | 5300 |
| 0 | 8609 | 5121 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 0 | 54 | 463 |
| 0 | 87 | 440 |
| 1 | 321 | 416 |
| 2 | 2262 | 416 |
| 0 | 8196 | 405 |
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 596 | 988 |
| 3 | 1406 | 982 |
| 4 | 2096 | 982 |
| 5 | 2761 | 980 |
| 6 | 3294 | 980 |
| 7 | 4780 | 976 |
| 8 | 5441 | 976 |
| 9 | 5911 | 976 |
| 10 | 6442 | 976 |
| 11 | 7732 | 976 |
| 0 | 8015 | 958 |
| 0 | 186 | 8502 |
| 1 | 591 | 8496 |
| 2 | 1816 | 8260 |
| 3 | 5342 | 8250 |
| 0 | 8093 | 7799 |
| 0 | 47 | 382 |
| 0 | 77 | 353 |
| 1 | 257 | 353 |
| 2 | 1673 | 353 |
| 0 | 8314 | 353 |
| 0 | 30 | 182 |
| 0 | 50 | 182 |
| 1 | 181 | 182 |
| 2 | 1196 | 182 |
| 0 | 8489 | 182 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 611 to 1 091 computations (58.2% saved)
(negabs z)
Compiled 2 342 to 518 computations (77.9% saved)
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