
Time bar (total: 11.9s)
| 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)
| 817.0ms | 8 256× | 0 | valid |
ival-div: 282.0ms (59.7% of total)ival-cosh: 105.0ms (22.2% of total)ival-mult: 76.0ms (16.1% of total)ival-true: 7.0ms (1.5% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 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 | 30 | 0 |
| ↳ | (cosh.f64 x) | overflow | 134 | |
| ↳ | (/.f64 y x) | underflow | 30 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 10 | 0 |
| ↳ | (cosh.f64 x) | overflow | 134 | |
| ↳ | (/.f64 y x) | overflow | 26 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 160 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 40 | 0 |
| - | 0 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 0 | 0 |
| - | 0 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-div: 7.0ms (42.2% of total)ival-cosh: 6.0ms (36.2% of total)ival-mult: 3.0ms (18.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 644× | lower-*.f32 |
| 643× | lower-*.f64 |
| 584× | neg-sub0 |
| 582× | times-frac |
| 387× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 87 |
| 1 | 106 | 75 |
| 2 | 336 | 75 |
| 3 | 1231 | 75 |
| 4 | 4255 | 75 |
| 5 | 7562 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 45 | 8 |
| 3 | 94 | 8 |
| 4 | 191 | 8 |
| 5 | 299 | 8 |
| 6 | 487 | 8 |
| 7 | 1061 | 8 |
| 8 | 2206 | 8 |
| 9 | 2598 | 8 |
| 10 | 2799 | 8 |
| 11 | 2810 | 8 |
| 12 | 2810 | 8 |
| 13 | 2847 | 8 |
| 14 | 2852 | 8 |
| 15 | 2854 | 8 |
| 16 | 2859 | 8 |
| 17 | 2859 | 8 |
| 0 | 2859 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) |
(negabs z)
(negabs y)
(negabs x)
Compiled 11 to 7 computations (36.4% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.5% | (/.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) |
| 644× | lower-*.f32 |
| 643× | lower-*.f64 |
| 582× | times-frac |
| 382× | lower-fma.f64 |
| 382× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 45 | 22 |
| 3 | 94 | 22 |
| 4 | 191 | 22 |
| 5 | 299 | 22 |
| 6 | 487 | 22 |
| 7 | 1061 | 22 |
| 8 | 2206 | 22 |
| 9 | 2598 | 22 |
| 10 | 2799 | 22 |
| 11 | 2810 | 22 |
| 12 | 2810 | 22 |
| 13 | 2847 | 22 |
| 14 | 2852 | 22 |
| 15 | 2854 | 22 |
| 16 | 2859 | 22 |
| 17 | 2859 | 22 |
| 0 | 2859 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) |
(*.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 | 2.4042067252671715 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 5.98046875 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 23.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-cosh: 9.0ms (65.9% of total)ival-div: 3.0ms (22% of total)ival-mult: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* 1/2 (* (pow x 2) y))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 3.0ms | x | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | x | @ | inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 1× | egg-herbie |
| 7 842× | lower-fma.f64 |
| 7 842× | lower-fma.f32 |
| 2 710× | lower-*.f64 |
| 2 710× | lower-*.f32 |
| 1 012× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 599 | 988 |
| 3 | 1416 | 982 |
| 4 | 2110 | 982 |
| 5 | 2777 | 980 |
| 6 | 3318 | 980 |
| 7 | 4807 | 976 |
| 8 | 5464 | 976 |
| 9 | 5934 | 976 |
| 10 | 6466 | 976 |
| 11 | 7754 | 976 |
| 0 | 8037 | 958 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 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 (*.f64 #s(literal 1/24 binary64) 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 (*.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))) |
(* 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 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)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 |
#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 (*.f64 #s(literal 1/24 binary64) 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 (*.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)) |
(* 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 (+ (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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
| 1 705× | lower-/.f32 |
| 1 703× | lower-/.f64 |
| 1 662× | lower-*.f32 |
| 1 661× | lower-*.f64 |
| 552× | 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 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 z (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y)) #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 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (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 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) z) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) z) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 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 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 y #s(literal 2 binary64)) (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 x) (*.f64 y (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 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 #s(literal -2 binary64) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 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 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z))) |
(*.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (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 y (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (*.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 (cosh.f64 x) (neg.f64 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 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) z))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 z x)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x)))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) x)))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) (*.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 y (/.f64 (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 (*.f64 z x)) (cosh.f64 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 (*.f64 z x)) (cosh.f64 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 x) (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)))) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) z)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 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 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) x) z)) |
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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 1 068 computations (84.2% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 15 | 481 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 467 | 15 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| 79.7% | (/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) | |
| 76.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 70.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 96.8% | (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
| 76.7% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| ▶ | 68.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
| ▶ | 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
| ▶ | 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 91.7% | (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) | |
| 87.4% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| ▶ | 50.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 76.8% | #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)))) | |
| 74.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 68.3% | #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 498 to 298 computations (40.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.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)) y) x) x y) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.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 (cosh.f64 x) z) | |
| cost-diff | 0 | (*.f64 y (/.f64 (cosh.f64 x) z)) | |
| cost-diff | 384 | (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
| 4 371× | lower-fma.f32 |
| 4 365× | lower-fma.f64 |
| 1 613× | lower-*.f32 |
| 1 603× | lower-*.f64 |
| 841× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 355 |
| 0 | 71 | 355 |
| 1 | 120 | 355 |
| 2 | 207 | 355 |
| 3 | 463 | 355 |
| 4 | 1105 | 355 |
| 5 | 2032 | 355 |
| 6 | 2291 | 355 |
| 7 | 2903 | 355 |
| 8 | 3850 | 355 |
| 9 | 4474 | 355 |
| 10 | 4932 | 355 |
| 11 | 5086 | 355 |
| 12 | 5282 | 355 |
| 13 | 6990 | 355 |
| 0 | 8183 | 355 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
y |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(/.f64 y x) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/2 binary64) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) |
(/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x) |
(fma.f64 (*.f64 (*.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)) y) x) x y) |
(*.f64 (*.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)) y) x) |
(*.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)) y) |
(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)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 y z) (cosh.f64 x)) |
y |
(/.f64 (cosh.f64 x) z) |
(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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(/.f64 y x) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) |
(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) |
(*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/2 binary64) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.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 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.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 y x))) |
(/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x) |
(*.f64 (fma.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 y x)) |
(fma.f64 (*.f64 (*.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)) y) x) x y) |
(fma.f64 (*.f64 (*.f64 x x) y) (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)) y) |
(*.f64 (*.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)) y) x) |
(*.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) y) |
(*.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)) y) |
(*.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)) y) |
(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)) |
(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)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.3882145356312763 | (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x) | |
| accuracy | 2.4042067252671715 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) | |
| accuracy | 2.6201962832106296 | (*.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)) y) | |
| accuracy | 8.007741758516191 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) | |
| accuracy | 2.4042067252671715 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) | |
| accuracy | 2.5910482289931207 | (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) | |
| accuracy | 3.5654798847398657 | (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) | |
| accuracy | 12.59346433890647 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 2.4042067252671715 | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) | |
| accuracy | 23.701241980010803 | #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 3.647913029717608 | (/.f64 y (*.f64 z x)) | |
| accuracy | 30.587196150253625 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (cosh.f64 x) z) | |
| accuracy | 0.30591783641740944 | (*.f64 y (/.f64 (cosh.f64 x) z)) | |
| accuracy | 1.7648359688817536 | (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
| 87.0ms | 256× | 0 | valid |
Compiled 280 to 39 computations (86.1% saved)
ival-mult: 26.0ms (38.8% of total)ival-div: 16.0ms (23.9% of total)const: 14.0ms (20.9% of total)ival-add: 7.0ms (10.4% of total)ival-cosh: 3.0ms (4.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cosh.f64 x) z) (patch (/.f64 (cosh.f64 x) z) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) (patch #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x) (patch (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.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)) y) x) x y) (patch (fma.f64 (*.f64 (*.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)) y) x) x y) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.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)) y) (patch (*.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)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (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 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 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)) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 (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)) y) (patch (*.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)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.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)) y) (patch (*.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)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.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)) y) (patch (*.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)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.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)) y) (patch (*.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)) y) #<representation binary64>) () ())) ()) |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) |
| 3.0ms | y | @ | inf | (/ y (* z x)) |
| 2.0ms | y | @ | 0 | (/ (+ (* (* (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) x) x) y) x) |
| 1.0ms | y | @ | 0 | (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) |
| 1.0ms | y | @ | inf | (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) |
| 1× | egg-herbie |
| 10 220× | lower-fma.f64 |
| 10 220× | lower-fma.f32 |
| 2 472× | lower-*.f64 |
| 2 472× | lower-*.f32 |
| 2 237× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 7370 |
| 1 | 657 | 7198 |
| 2 | 2145 | 7050 |
| 3 | 4784 | 6970 |
| 0 | 8506 | 6679 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
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(/ y (* x z)) |
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(/ y (* x z)) |
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(/ y (* x z)) |
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(/ y (* x z)) |
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(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
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(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
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(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(* 1/24 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* 1/24 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
| Outputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) (*.f64 x (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.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)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
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(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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)) y) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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)) y) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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)) y) |
| 2 332× | lower-fma.f32 |
| 2 326× | lower-fma.f64 |
| 2 240× | lower-/.f32 |
| 2 231× | lower-/.f64 |
| 2 011× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 277 |
| 0 | 71 | 277 |
| 1 | 249 | 277 |
| 2 | 1624 | 277 |
| 0 | 8233 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) |
(/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x) |
(fma.f64 (*.f64 (*.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)) y) x) x y) |
(/.f64 y x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) |
(*.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)) y) |
| Outputs |
|---|
(*.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 (cosh.f64 x) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z)) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y z) (cosh.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))) |
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) |
(*.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(pow.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) (neg.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 (cosh.f64 x) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 (cosh.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 (cosh.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)) (neg.f64 z)) |
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x))) |
(/.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) |
(/.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) x) |
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) |
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y))) |
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 y (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 y (neg.f64 (cosh.f64 x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z))) |
(*.f64 (/.f64 y z) (cosh.f64 x)) |
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (cosh.f64 x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (cosh.f64 x))) |
(*.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (cosh.f64 x) z) y) |
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
(pow.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) z) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (cosh.f64 x)))) z) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cosh.f64 x) y))) z) |
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 z)) |
(/.f64 (*.f64 y (neg.f64 (cosh.f64 x))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (cosh.f64 x) y)))) |
(/.f64 (*.f64 (cosh.f64 x) y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (neg.f64 (cosh.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cosh.f64 x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (cosh.f64 x) y))) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 z (cosh.f64 x)))) |
(/.f64 y (/.f64 z (cosh.f64 x))) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z))) |
(*.f64 (pow.f64 (/.f64 z (cosh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (cosh.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z (cosh.f64 x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (cosh.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) z)) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 z (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z)) #s(literal -2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 z #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (cosh.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (cosh.f64 x))) |
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (cosh.f64 x) z) |
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (cosh.f64 x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(cosh.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(*.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 (/.f64 y z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (neg.f64 x) z))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.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 #s(literal 1 binary64) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(pow.f64 (*.f64 (/.f64 x y) z) #s(literal -1 binary64)) |
(pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y z))) x) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (/.f64 x y)))) |
(/.f64 (/.f64 y z) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 y x) z) |
(/.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))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (neg.f64 x) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 z x) #s(literal 1 binary64)) |
(*.f64 z x) |
(*.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(/.f64 (*.f64 (neg.f64 x) z) #s(literal -1 binary64)) |
(/.f64 (*.f64 z x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z)) |
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(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (fma.f64 (*.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 y (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.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 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.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 y (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))))) |
(/.f64 y (/.f64 #s(literal 1 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)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y)) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y)) |
(+.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) |
Compiled 29 537 to 2 156 computations (92.7% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 159 | 20 | 1 179 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 166 | 28 | 1 194 |
| Status | Accuracy | Program |
|---|---|---|
| 87.5% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 79.7% | (/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) | |
| ▶ | 91.6% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
| 87.4% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 81.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x) | |
| ✓ | 68.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
| ▶ | 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) | |
| 56.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 y) x)) z) | |
| ✓ | 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
| 89.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) | |
| 55.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z) | |
| 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) | |
| 90.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) | |
| 35.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z) | |
| 46.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) | |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 43.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) | |
| 45.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) | |
| 29.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) | |
| 53.8% | (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) | |
| ▶ | 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
| ✓ | 50.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 48.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) | |
| 76.8% | #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)))) | |
| 74.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ▶ | 68.3% | #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)))) |
| ▶ | 50.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
Compiled 1 168 to 625 computations (46.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | #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)))) | |
| 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 | #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z) | |
| cost-diff | 0 | (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) | |
| cost-diff | 384 | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
| 7 857× | lower-fma.f32 |
| 7 848× | lower-fma.f64 |
| 2 308× | lower-*.f32 |
| 2 298× | lower-*.f64 |
| 1 253× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 472 |
| 0 | 79 | 474 |
| 1 | 153 | 466 |
| 2 | 284 | 466 |
| 3 | 820 | 466 |
| 4 | 2358 | 464 |
| 5 | 4202 | 464 |
| 6 | 5596 | 464 |
| 7 | 7173 | 464 |
| 8 | 7527 | 464 |
| 0 | 8098 | 462 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) |
y |
(/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.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 #s(literal 1 binary64))) |
(fma.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 #s(literal 1 binary64)) |
(*.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) |
(fma.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) |
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 |
#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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(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 (*.f64 z x)) |
y |
(*.f64 z x) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x y) x) |
(*.f64 x y) |
y |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) |
(/.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 (*.f64 x y) x) y) 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 (*.f64 x y) x) y) |
(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 (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 1/2 binary64) |
(*.f64 (*.f64 x y) x) |
(*.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh 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 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 y z) #s(approx (cosh 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)))) |
y |
(/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z) |
(/.f64 #s(approx (cosh 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))) z) |
#s(approx (cosh x) (fma.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 #s(literal 1 binary64))) |
#s(approx (cosh 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 (*.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 #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 (fma.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) |
(*.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) |
(fma.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) |
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 |
#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) (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.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)) (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 (*.f64 z x)) |
y |
(*.f64 z x) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.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)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) |
#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)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) 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) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) |
(fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x y) x) |
(*.f64 x y) |
y |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ 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)) x) y)) z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x)) |
#s(approx (* (cosh x) (/ 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)) x) y)) |
(/.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 (*.f64 x y) x) 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)) x) y) |
(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 (*.f64 x y) x) 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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) 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 (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 1/2 binary64) |
(*.f64 (*.f64 x y) x) |
(*.f64 x y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28430340859438574 | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) | |
| accuracy | 1.3882145356312763 | (/.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 (*.f64 x y) x) y) x) | |
| accuracy | 2.4198317252671715 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) | |
| accuracy | 8.007741758516191 | #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 x y) x) | |
| accuracy | 2.4042067252671715 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) | |
| accuracy | 2.5910482289931207 | (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) | |
| accuracy | 12.59346433890647 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 3.647913029717608 | (/.f64 y (*.f64 z x)) | |
| accuracy | 11.078341952269428 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) | |
| accuracy | 21.545695646509216 | #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)))) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.5828924139496018 | (/.f64 #s(literal 1 binary64) (*.f64 z x)) | |
| accuracy | 3.190372083799104 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) | |
| accuracy | 30.587196150253625 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) | |
| accuracy | 0.28430340859438574 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 0.30591783641740944 | (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) | |
| accuracy | 1.7648359688817536 | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) | |
| accuracy | 7.517674873877035 | #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) |
| 150.0ms | 256× | 0 | valid |
Compiled 336 to 48 computations (85.7% saved)
ival-mult: 53.0ms (41.9% of total)ival-div: 46.0ms (36.4% of total)ival-cosh: 11.0ms (8.7% of total)ival-add: 10.0ms (7.9% of total)const: 6.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) (patch (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) #<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 #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) #<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 (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x)) #<representation binary64>) () ()) |
#s(alt (/.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 (*.f64 x y) x) y) x) (patch (/.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 (*.f64 x y) x) y) 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>) () ()) |
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<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 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<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 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | z | @ | inf | (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) |
| 7.0ms | x | @ | -inf | (/ 1 (* z x)) |
| 1.0ms | y | @ | 0 | (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) |
| 1.0ms | z | @ | 0 | (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) |
| 1.0ms | x | @ | inf | (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) |
| 1× | egg-herbie |
| 9 178× | lower-fma.f64 |
| 9 178× | lower-fma.f32 |
| 2 649× | lower-*.f64 |
| 2 649× | lower-*.f32 |
| 1 644× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 6856 |
| 1 | 615 | 6764 |
| 2 | 2042 | 6562 |
| 3 | 4853 | 6516 |
| 0 | 8410 | 6286 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* x y) z)) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.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 (/ (* 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)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) z) y)) 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))) |
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(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 5) y)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) y) (pow.f64 x #s(literal 5 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 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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)) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x y) x) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
| 2 327× | lower-/.f32 |
| 2 319× | lower-/.f64 |
| 2 284× | lower-fma.f32 |
| 2 275× | lower-fma.f64 |
| 2 055× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 338 |
| 0 | 79 | 334 |
| 1 | 317 | 332 |
| 2 | 1901 | 332 |
| 0 | 8377 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z) |
#s(approx (cosh x) (fma.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 #s(literal 1 binary64))) |
(*.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) |
#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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x)) |
(/.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 (*.f64 x y) x) y) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(/.f64 y (*.f64 z x)) |
(*.f64 (*.f64 x y) x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) 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 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
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(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) |
Compiled 36 133 to 2 472 computations (93.2% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 519 | 14 | 1 533 |
| Fresh | 3 | 17 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 524 | 37 | 1 561 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.6% | (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
| 91.3% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x) | |
| 87.5% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| ▶ | 79.7% | (/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
| 82.3% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| ✓ | 91.6% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
| 67.8% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 91.6% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 67.8% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 91.6% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 87.4% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 81.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x) | |
| 89.7% | (/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x) | |
| ✓ | 68.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
| ✓ | 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) | |
| 56.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 y) x)) z) | |
| ✓ | 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
| 89.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) | |
| 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) | |
| 35.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z) | |
| 46.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) | |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 45.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) | |
| 43.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) | |
| 45.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) | |
| 29.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) | |
| 53.8% | (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) | |
| 82.6% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) | |
| 79.6% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| ✓ | 50.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 48.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) | |
| ▶ | 76.8% | #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)))) |
| 74.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ▶ | 71.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) |
| ✓ | 50.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
| ▶ | 28.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
Compiled 1 558 to 869 computations (44.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #s(approx (cosh x) (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))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (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 x)) | |
| cost-diff | 384 | (/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 384 | (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 384 | (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
| 7 598× | lower-fma.f32 |
| 7 593× | lower-fma.f64 |
| 2 082× | lower-*.f32 |
| 2 073× | lower-*.f64 |
| 1 706× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 493 |
| 0 | 75 | 491 |
| 1 | 141 | 491 |
| 2 | 263 | 491 |
| 3 | 570 | 491 |
| 4 | 1384 | 491 |
| 5 | 4057 | 485 |
| 6 | 6148 | 484 |
| 7 | 7185 | 484 |
| 8 | 7629 | 484 |
| 9 | 7957 | 484 |
| 0 | 8009 | 477 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
y |
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
z |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 y z) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 z x) |
z |
y |
#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)))) |
(*.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))) |
(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)) |
(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)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 #s(approx (cosh x) (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 x)) |
#s(approx (cosh x) (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))) |
(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)) |
(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)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) y) |
y |
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
z |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) |
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(/.f64 y z) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) |
(*.f64 (/.f64 y (*.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) (*.f64 x z)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 z x) |
(*.f64 x z) |
z |
y |
#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 y (*.f64 x z)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.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))) |
(*.f64 (/.f64 y (*.f64 x z)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 z x)) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 z x) |
(*.f64 x z) |
z |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y) |
(*.f64 #s(approx (cosh x) (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 x)) |
(*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (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))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
x |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (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)) | |
| accuracy | 0.12890625 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 1.6439588166864179 | #s(approx (cosh x) (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))) | |
| accuracy | 2.4042067252671715 | (/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) | |
| accuracy | 0.015625 | (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)) | |
| accuracy | 0.12890625 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 1.1853381662609133 | #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)))) | |
| accuracy | 1.273043117655823 | (/.f64 y (*.f64 z x)) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0.08984375 | (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) | |
| accuracy | 1.1900091080038815 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) | |
| accuracy | 1.269136867655823 | (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 1.1900091080038815 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) | |
| accuracy | 2.8874705038822053 | (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) | |
| accuracy | 27.340210959853525 | #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) | |
| accuracy | 0.1953125 | (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) | |
| accuracy | 0.23951158641740947 | (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| accuracy | 1.6439588166864179 | #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 1.7648359688817536 | (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
| 192.0ms | 128× | 2 | exit |
| 41.0ms | 127× | 0 | valid |
| 6.0ms | 1× | 5 | exit |
Compiled 335 to 42 computations (87.5% saved)
ival-mult: 55.0ms (51.6% of total)adjust: 14.0ms (13.1% of total)ival-div: 13.0ms (12.2% of total)ival-add: 11.0ms (10.3% of total)const: 9.0ms (8.4% of total)ival-cosh: 3.0ms (2.8% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (patch (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #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 (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) (patch #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) (patch (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) (patch (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) (patch (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) (patch (/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (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 x)) (patch (*.f64 #s(approx (cosh x) (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 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (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))) (patch #s(approx (cosh x) (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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (cosh x) (fma.f64 (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))) (patch #s(approx (cosh x) (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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (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))) (patch #s(approx (cosh x) (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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (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))) (patch #s(approx (cosh x) (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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (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))) (patch #s(approx (cosh x) (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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (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))) (patch #s(approx (cosh x) (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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/24 (* 1/720 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/24 (* 1/720 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/24 (* 1/720 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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 (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ()) |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (* (+ (* (* 1/720 x) x) 1/24) x) |
| 1.0ms | z | @ | 0 | (* (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) |
| 1.0ms | y | @ | 0 | (* (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) |
| 1.0ms | z | @ | 0 | (* (* x 1/2) (/ y z)) |
| 1.0ms | z | @ | inf | (* (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) |
| 1× | egg-herbie |
| 8 508× | lower-fma.f64 |
| 8 508× | lower-fma.f32 |
| 3 342× | lower-*.f64 |
| 3 342× | lower-*.f32 |
| 1 025× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 6982 |
| 1 | 638 | 6975 |
| 2 | 1993 | 6729 |
| 3 | 6205 | 6700 |
| 0 | 8278 | 6444 |
| 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 z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
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z |
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(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
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(/ 1 (* x z)) |
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1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(/ y (* x z)) |
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(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
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(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
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1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1/2 |
(+ 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))))) |
(* 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)))))) |
(* 1/720 (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)))))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
| Outputs |
|---|
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(fma.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(fma.f64 (*.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z)) |
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(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 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 (+ (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 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* 1/720 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* 1/720 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) 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)) |
(/ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
| 2 443× | lower-fma.f32 |
| 2 438× | lower-fma.f64 |
| 2 174× | lower-*.f32 |
| 2 165× | lower-*.f64 |
| 2 132× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 361 |
| 0 | 75 | 359 |
| 1 | 284 | 359 |
| 2 | 1563 | 359 |
| 0 | 8328 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
#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)))) |
(*.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))) |
(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)) |
(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 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 #s(approx (cosh x) (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 x)) |
#s(approx (cosh x) (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 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) |
(/.f64 y (*.f64 z x)) |
(*.f64 #s(literal 1/720 binary64) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 z)) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 y) z) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 #s(literal 1/24 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (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)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 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 (*.f64 x (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 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.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)) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 x (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 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #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)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x)) |
(fma.f64 #s(literal 1/24 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) |
(fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 #s(literal 1/24 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(*.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 x z))) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(pow.f64 (*.f64 (/.f64 x y) z) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) x)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))) |
(/.f64 y (*.f64 x z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y)))) |
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x))) |
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 z))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x z)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 x z)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) z)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) x)) (/.f64 (neg.f64 y) (*.f64 x z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (*.f64 x z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 x #s(literal 1/720 binary64)) |
Compiled 50 784 to 2 724 computations (94.6% saved)
44 alts after pruning (38 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 691 | 15 | 1 706 |
| Fresh | 3 | 23 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 4 | 6 |
| Total | 1 699 | 44 | 1 743 |
| Status | Accuracy | Program |
|---|---|---|
| 91.3% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x) | |
| 91.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x) | |
| 87.5% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 82.3% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 76.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 67.8% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 91.6% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 91.6% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 87.4% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) | |
| 81.3% | (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x) | |
| 89.7% | (/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x) | |
| 53.8% | (/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) | |
| ✓ | 68.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
| ✓ | 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) | |
| 56.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 y) x)) z) | |
| 89.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) | |
| 84.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) | |
| 35.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z) | |
| 46.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) | |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 45.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) | |
| 43.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) | |
| 45.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) | |
| 29.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) | |
| 83.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) | |
| 82.6% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) | |
| 79.6% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 76.8% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) | |
| ✓ | 50.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 48.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) | |
| 79.6% | #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 (/.f64 y z) x))) | |
| 55.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 56.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 59.6% | #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 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 76.8% | #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 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| ✓ | 71.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) |
| ✓ | 50.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
| 29.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) | |
| 74.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) | |
| 28.2% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) | |
| 29.0% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) | |
| 29.7% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) | |
| ✓ | 28.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
Compiled 2 266 to 814 computations (64.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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 (/.f64 y z) x))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) |
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) 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 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x) |
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z 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 y (/.f64 (cosh.f64 x) z)) x) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
5 calls:
| 88.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 80.0ms | y |
| 67.0ms | x |
| 34.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | x |
| 96.8% | 1 | y |
| 96.8% | 1 | z |
| 99.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.5% | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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 (/.f64 y z) x))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) |
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) 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 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x) |
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z 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 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
5 calls:
| 67.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 50.0ms | y |
| 31.0ms | z |
| 25.0ms | x |
| 16.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 2 | z |
| 97.3% | 2 | x |
| 96.5% | 2 | y |
| 97.5% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 97.6% | 3 | (/.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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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 (/.f64 y z) x))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) |
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) 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 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x) |
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 y) x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
| Outputs |
|---|
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
1 calls:
| 29.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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 (/.f64 y z) x))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) |
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) 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 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x) |
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.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 y) x)) z) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
5 calls:
| 58.0ms | z |
| 42.0ms | y |
| 40.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 17.0ms | x |
| 15.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | z |
| 94.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 93.5% | 2 | y |
| 94.3% | 2 | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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 (/.f64 y z) x))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) |
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) 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 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x) |
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
1 calls:
| 13.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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 (/.f64 y z) x))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.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 #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (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 x)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.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 (*.f64 x y) x) y) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
3 calls:
| 57.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 13.0ms | x |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | x |
| 94.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.3% | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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 (/.f64 y z) x))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (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 y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.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)) y) x) x y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
1 calls:
| 40.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
5 calls:
| 25.0ms | z |
| 12.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 11.0ms | y |
| 11.0ms | x |
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | x |
| 89.1% | 1 | z |
| 90.9% | 2 | y |
| 89.1% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 89.1% | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#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 (*.f64 x x) x) #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 (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)))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) |
5 calls:
| 15.0ms | x |
| 12.0ms | z |
| 10.0ms | y |
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 9.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 90.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 87.4% | 1 | z |
| 87.4% | 1 | y |
| 89.3% | 2 | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z) |
5 calls:
| 11.0ms | x |
| 8.0ms | y |
| 8.0ms | z |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 7.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 1 | y |
| 86.4% | 2 | z |
| 87.1% | 2 | x |
| 84.6% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 84.6% | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.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 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) |
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z) |
| Outputs |
|---|
#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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z) |
5 calls:
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 2 | y |
| 61.4% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 65.9% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 62.3% | 5 | z |
| 69.8% | 2 | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)) |
#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))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 2 | 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) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) |
2 calls:
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 64.3% | 2 | x |
Compiled 13 to 9 computations (30.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
5 calls:
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | y |
| 50.2% | 1 | z |
| 50.2% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 50.2% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 50.2% | 1 | x |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6800075950648694e+94 | 1.17959223327152e+103 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 4.040884688145973e+49 | 1.2401893611961559e+50 |
| 4.0ms | 80× | 0 | valid |
Compiled 209 to 133 computations (36.4% saved)
ival-div: 1.0ms (41.4% of total)ival-cosh: 1.0ms (41.4% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.040884688145973e+49 | 1.2401893611961559e+50 |
Compiled 209 to 133 computations (36.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.182187354343934e-51 | 7.383153587657557e-49 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6800075950648694e+94 | 1.17959223327152e+103 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6800075950648694e+94 | 1.17959223327152e+103 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6800075950648694e+94 | 1.17959223327152e+103 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.931890729651961e+76 | 2.9745952778353246e+82 |
| 7.0ms | 144× | 0 | valid |
Compiled 455 to 292 computations (35.8% saved)
ival-div: 2.0ms (47.1% of total)ival-mult: 1.0ms (23.5% of total)ival-cosh: 1.0ms (23.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6800075950648694e+94 | 1.17959223327152e+103 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 7947.819907976656 | 19753849.148041338 |
| 3.0ms | 32× | 0 | valid |
Compiled 102 to 65 computations (36.3% saved)
ival-div: 1.0ms (56.6% of total)ival-cosh: 1.0ms (56.6% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7947.819907976656 | 19753849.148041338 |
Compiled 94 to 61 computations (35.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.1127011266531528e-7 | 6.047403897835566e-6 |
| 11.0ms | 112× | 0 | valid |
Compiled 252 to 160 computations (36.5% saved)
ival-div: 1.0ms (27.8% of total)ival-mult: 1.0ms (27.8% of total)ival-cosh: 1.0ms (27.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1127011266531528e-7 | 6.047403897835566e-6 |
Compiled 203 to 125 computations (38.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1127011266531528e-7 | 6.047403897835566e-6 |
Compiled 175 to 111 computations (36.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1127011266531528e-7 | 6.047403897835566e-6 |
Compiled 175 to 111 computations (36.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1127011266531528e-7 | 6.047403897835566e-6 |
Compiled 175 to 111 computations (36.6% saved)
| 1× | egg-herbie |
| 41× | *-commutative_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
| 11× | sub-neg_binary64 |
| 10× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 885 |
| 1 | 204 | 885 |
| 2 | 214 | 885 |
| 3 | 230 | 885 |
| 4 | 245 | 884 |
| 5 | 263 | 884 |
| 6 | 273 | 884 |
| 7 | 278 | 884 |
| 8 | 280 | 884 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) |
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)) |
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) z) y) x)) |
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x)) |
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)) |
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)) |
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z)) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))) |
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 10 220× | lower-fma.f64 |
| 10 220× | lower-fma.f32 |
| 9 178× | lower-fma.f64 |
| 9 178× | lower-fma.f32 |
| 8 508× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 6982 |
| 1 | 638 | 6975 |
| 2 | 1993 | 6729 |
| 3 | 6205 | 6700 |
| 0 | 8278 | 6444 |
| 0 | 197 | 7370 |
| 1 | 657 | 7198 |
| 2 | 2145 | 7050 |
| 3 | 4784 | 6970 |
| 0 | 8506 | 6679 |
| 0 | 189 | 6856 |
| 1 | 615 | 6764 |
| 2 | 2042 | 6562 |
| 3 | 4853 | 6516 |
| 0 | 8410 | 6286 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 0 | 46 | 361 |
| 0 | 75 | 359 |
| 1 | 284 | 359 |
| 2 | 1563 | 359 |
| 0 | 8328 | 359 |
| 0 | 43 | 338 |
| 0 | 79 | 334 |
| 1 | 317 | 332 |
| 2 | 1901 | 332 |
| 0 | 8377 | 332 |
| 0 | 40 | 277 |
| 0 | 71 | 277 |
| 1 | 249 | 277 |
| 2 | 1624 | 277 |
| 0 | 8233 | 277 |
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 599 | 988 |
| 3 | 1416 | 982 |
| 4 | 2110 | 982 |
| 5 | 2777 | 980 |
| 6 | 3318 | 980 |
| 7 | 4807 | 976 |
| 8 | 5464 | 976 |
| 9 | 5934 | 976 |
| 10 | 6466 | 976 |
| 11 | 7754 | 976 |
| 0 | 8037 | 958 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 484 to 631 computations (57.5% saved)
Compiled 1 418 to 368 computations (74% saved)
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